fixed the LDRO usage. It only enables when the symble time exceeds
16ms, which is described in the SX1276 datasheet.master
Shoichi Sakane
parent
4616bf6472
commit
e49ac9855c
58
README.md
58
README.md
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@ -2,15 +2,42 @@ LoRa Time on Air calculator
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===========================
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A calculator of the time on air of LoRa PHY frame in Python.
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This script refers to the section 4.1.1.6. LoRa Packet Structure,
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[SX1276/77/78/79 Datasheet][http://www.semtech.com/images/datasheet/sx1276_77_78_79.pdf].
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The default value is aligned to LoRaWAN AS923.
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The default parameters of the equation is based on LoRaWAN AS923
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in the LoRaWAN regional parameters v1.1.
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## Note
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The default value of Explicit Header is enable.
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It is guessed from the PHY frame format
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though there is no explit text in the LoRaWAN specification.
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The value of LowDataRateOptimization is set automatically
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when the symbol duration exceeds 16ms.
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Because the datasheet requires that it must be used
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when the symbol duration exceeds 16ms.
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This is the case below:
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- SF=12 and 11 in 125 kHz.
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- SF=12 in 250 kHz.
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You can disable this feature by the --disable-auto-ldro option.
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The LDRO is disabled by default if you disable the auto LDRO.
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If you want to enable the LDRO, you can specify the --enable-ldro option.
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In the downlink stream, the CRC at the tail of the PHY frame is not used.
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To calculate the ToA for the downlink stream,
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the --downlink option should be specified.
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## Usage
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lorawan_toa.py [-h] [--band-width N_BW] [--disable-dro] [--disable-eh]
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[--cr N_CR] [--preamble N_PREAMBLE] [-v] [-d]
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lorawan_toa.py [-h] [--band-width N_BW] [--disable-auto-ldro]
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[--enable-ldro] [--disable-eh] [--downlink]
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[--disable-crc] [--cr N_CR] [--preamble N_PREAMBLE] [-v]
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[-d]
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SF SIZE
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positional arguments:
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@ -21,10 +48,13 @@ The default value is aligned to LoRaWAN AS923.
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optional arguments:
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-h, --help show this help message and exit
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--band-width N_BW bandwidth in kHz. default is 125 kHz.
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--disable-dro disable the low data rate optimization. default is
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enable as LoRaWAN does.
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--disable-eh disable the explicit header. default is enable as
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LoRaWAN does.
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--disable-auto-ldro disable the auto LDRO and disable LDRO.
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--enable-ldro This option is available when the auto LDRO is
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disabled.
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--disable-eh disable the explicit header.
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--downlink disable the CRC field, which is for the LoRaWAN
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downlink stream.
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--disable-crc same effect as the --downlink option.
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--cr N_CR specify the CR value. default is 1 as LoRaWAN does.
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--preamble N_PREAMBLE
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specify the preamble. default is 8 for AS923.
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@ -34,6 +64,8 @@ The default value is aligned to LoRaWAN AS923.
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## Examples
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with the -v option, it shows the ToA as well as the related information.
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below example, it show detail information in SF 12, 64 bytes of PHY payload,
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125 kHz bandwidth, preamble 8.
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% python lorawan_toa.py 12 64 -v
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PHY payload size : 64 Bytes
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@ -43,19 +75,23 @@ with the -v option, it shows the ToA as well as the related information.
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Low data rate opt. : enable
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Explicit header : enable
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CR (coding rate) : 1 (4/5)
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Symbol Rate : 30.518 symbol/s
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Symbol Time : 32.768 msec/symbol
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Preamble size : 8 symbols
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Packet symbol size : 73 symbols
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Preamble ToA : 401.408 msec
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Payload ToA : 2392.064 msec
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Time on Air : 2793.472 msec
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MAC frame data rate : 63.998 bps
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without the -v option, it simply shows the ToA.
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% python lorawan_toa.py --band-width=500 7 128
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71.744
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% python lorawan_toa.py 12 64
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2793.472
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## graph_as923.py
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It makes a set of figures about Time on Air and PHYPayload size,
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especially LoRaWAN AS923 using matlib like below.
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386
graph_as923.py
386
graph_as923.py
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@ -10,273 +10,274 @@ from lorawan_toa import *
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def get_line(list_size, n_sf, bw=125):
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return [ get_toa(i, n_sf, n_bw=bw)["t_packet"] for i in list_size ]
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'''
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test code
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'''
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#########
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#
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#
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#
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plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
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plt.title("SF and ToA (BW=125 kHz)")
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plt.ylim(0, 5000)
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fig = plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
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ax = fig.add_subplot(1,1,1)
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ax.set_title("SF and ToA (BW=125 kHz)")
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x = range(0, 255)
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plt.plot(x, get_line(x, 12), "b-", label="SF12", linewidth=3, alpha=1)
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plt.plot(x, get_line(x, 11), "g-", label="SF11", linewidth=3, alpha=1)
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plt.plot(x, get_line(x, 10), "k-", label="SF10", linewidth=3, alpha=1)
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plt.plot(x, get_line(x, 9), "c-", label="SF9", linewidth=3, alpha=1)
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plt.plot(x, get_line(x, 8), "m-", label="SF8", linewidth=3, alpha=1)
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plt.plot(x, get_line(x, 7), "y-", label="SF7", linewidth=3, alpha=1)
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ax.plot(x, get_line(x, 12), "b-", label="SF12", linewidth=3, alpha=1)
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ax.plot(x, get_line(x, 11), "g-", label="SF11", linewidth=3, alpha=1)
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ax.plot(x, get_line(x, 10), "k-", label="SF10", linewidth=3, alpha=1)
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ax.plot(x, get_line(x, 9), "c-", label="SF9", linewidth=3, alpha=1)
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ax.plot(x, get_line(x, 8), "m-", label="SF8", linewidth=3, alpha=1)
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ax.plot(x, get_line(x, 7), "y-", label="SF7", linewidth=3, alpha=1)
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plt.xlabel("PHY Payload Size (Byte)")
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plt.ylabel("Time on Air (ms)")
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plt.legend(loc="upper left", fancybox=True, shadow=True)
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plt.grid(True)
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ax.set_xlim(0, 260)
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ax.set_ylim(0, 5000)
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ax.set_xlabel("PHY Payload Size (Byte)")
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ax.set_ylabel("Time on Air (ms)")
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ax.grid(True)
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ax.legend(loc="upper left", fancybox=True, shadow=True)
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fig.tight_layout()
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plt.show()
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fig.savefig("image/lora-toa-125.png")
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#########
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#
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#
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#
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plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
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plt.title("AS923 No DwellTime")
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plt.ylim(0, 5000)
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fig = plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
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ax = fig.add_subplot(1,1,1)
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ax.set_title("AS923 No DwellTime")
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x = range(0, 255)
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plt.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
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# no dwellTime consideration
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plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-", label="SF12",
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ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-", label="SF12",
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linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 11), "g-", label="SF11",
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ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 11), "g-", label="SF11",
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linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "k-", label="SF10",
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ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "k-", label="SF10",
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linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 123), get_line(mpsrange(8, 123), 9), "c-", label="SF9",
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ax.plot(mpsrange(8, 123), get_line(mpsrange(8, 123), 9), "c-", label="SF9",
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linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8), "m-", label="SF8",
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ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8), "m-", label="SF8",
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linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-", label="SF7",
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ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-", label="SF7",
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linewidth=3, alpha=1)
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plt.xlabel("PHY Payload Size (Byte)")
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plt.ylabel("Time on Air (ms)")
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plt.legend(loc="upper left", fancybox=True, shadow=True)
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plt.grid(True)
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ax.set_xlim(0, 260)
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ax.set_ylim(0, 5000)
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ax.set_xlabel("PHY Payload Size (Byte)")
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ax.set_ylabel("Time on Air (ms)")
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ax.grid(True)
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ax.legend(loc="upper left", fancybox=True, shadow=True)
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fig.tight_layout()
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plt.show()
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fig.savefig("image/as923-without-dwelltime.png")
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#########
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#
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#
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#
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plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
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plt.title("AS923 DwellTime 400ms")
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plt.ylim(0, 5000)
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fig = plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
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ax = fig.add_subplot(1,1,1)
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ax.set_title("AS923 DwellTime 400ms")
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x = range(0, 255)
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plt.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
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# required dwellTime consideration
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plt.plot([0], [0], "b-", label="SF12", linewidth=3, alpha=1)
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plt.plot([0], [0], "c-", label="SF11", linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 19), get_line(mpsrange(8, 19), 10), "k-", label="SF10", linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 9), "c-", label="SF9", linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 133), get_line(mpsrange(8, 133), 8), "m-", label="SF8", linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-", label="SF7", linewidth=3, alpha=1)
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ax.plot([0], [0], "b-", label="SF12", linewidth=3, alpha=1)
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ax.plot([0], [0], "c-", label="SF11", linewidth=3, alpha=1)
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ax.plot(mpsrange(8, 19), get_line(mpsrange(8, 19), 10), "k-", label="SF10", linewidth=3, alpha=1)
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ax.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 9), "c-", label="SF9", linewidth=3, alpha=1)
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ax.plot(mpsrange(8, 133), get_line(mpsrange(8, 133), 8), "m-", label="SF8", linewidth=3, alpha=1)
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ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-", label="SF7", linewidth=3, alpha=1)
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plt.plot(x, [400 for i in range(0, 255)], "r,", linewidth=1, alpha=0.7)
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ax.plot(x, [400 for i in range(0, 255)], "r,", linewidth=1, alpha=0.7)
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plt.xlabel("PHY Payload Size (Byte)")
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plt.ylabel("Time on Air (ms)")
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plt.legend(loc="upper left", fancybox=True, shadow=True)
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plt.grid(True)
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ax.set_xlim(0, 260)
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ax.set_ylim(0, 5000)
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ax.set_xlabel("PHY Payload Size (Byte)")
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ax.set_ylabel("Time on Air (ms)")
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ax.grid(True)
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ax.legend(loc="upper left", fancybox=True, shadow=True)
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fig.tight_layout()
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plt.show()
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fig.savefig("image/as923-with-dwelltime.png")
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#########
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#
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#
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#
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plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
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plt.title("AS923")
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plt.ylim(0, 5000)
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fig = plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
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ax = fig.add_subplot(1,1,1)
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ax.set_title("AS923")
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x = range(0, 255)
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plt.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
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plt.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
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ax.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
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# no dwellTime consideration
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plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-", linewidth=1.2, alpha=0.7)
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plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 11), "g-", linewidth=1.2, alpha=0.7)
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plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "k-", linewidth=1.2, alpha=0.7)
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plt.plot(mpsrange(8, 123), get_line(mpsrange(8, 123), 9), "c-", linewidth=1.2, alpha=0.7)
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plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8), "m-", linewidth=1.2, alpha=0.7)
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plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-", linewidth=1.2, alpha=0.7)
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ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-", linewidth=1.2, alpha=0.7)
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ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 11), "g-", linewidth=1.2, alpha=0.7)
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ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "k-", linewidth=1.2, alpha=0.7)
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ax.plot(mpsrange(8, 123), get_line(mpsrange(8, 123), 9), "c-", linewidth=1.2, alpha=0.7)
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ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8), "m-", linewidth=1.2, alpha=0.7)
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ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-", linewidth=1.2, alpha=0.7)
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# required dwellTime consideration
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plt.plot([0], [0], "b-", label="SF12/125kHz", linewidth=3, alpha=1)
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plt.plot([0], [0], "g-", label="SF11/125kHz", linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 19), get_line(mpsrange(8, 19), 10), "k-",
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ax.plot([0], [0], "b-", label="SF12/125kHz", linewidth=3, alpha=1)
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ax.plot([0], [0], "g-", label="SF11/125kHz", linewidth=3, alpha=1)
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ax.plot(mpsrange(8, 19), get_line(mpsrange(8, 19), 10), "k-",
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label="SF10/125kHz", linewidth=3, alpha=1)
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plt.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 9), "c-",
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ax.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 9), "c-",
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label="SF9/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot(mpsrange(8, 133), get_line(mpsrange(8, 133), 8), "m-",
|
||||
ax.plot(mpsrange(8, 133), get_line(mpsrange(8, 133), 8), "m-",
|
||||
label="SF8/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-",
|
||||
label="SF7/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=250), "b--",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=250), "b--",
|
||||
label="SF7/250kHz", linewidth=3, alpha=0.5)
|
||||
|
||||
plt.xlabel("PHY Payload Size (Byte)")
|
||||
plt.ylabel("Time on Air (ms)")
|
||||
|
||||
plt.legend(loc="upper left", fancybox=True, shadow=True)
|
||||
plt.grid(True)
|
||||
ax.set_xlim(0, 260)
|
||||
ax.set_ylim(0, 5000)
|
||||
ax.set_xlabel("PHY Payload Size (Byte)")
|
||||
ax.set_ylabel("Time on Air (ms)")
|
||||
ax.grid(True)
|
||||
ax.legend(loc="upper left", fancybox=True, shadow=True)
|
||||
|
||||
fig.tight_layout()
|
||||
plt.show()
|
||||
fig.savefig("image/as923-toa.png")
|
||||
|
||||
#########
|
||||
#
|
||||
#
|
||||
#
|
||||
plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
|
||||
|
||||
plt.title("AS923 and ARIB STD-T108")
|
||||
plt.ylim(0, 5000)
|
||||
fig = plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
|
||||
ax = fig.add_subplot(1,1,1)
|
||||
ax.set_title("AS923 and ARIB STD-T108")
|
||||
|
||||
x = range(0, 255)
|
||||
plt.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
|
||||
|
||||
# no dwellTime consideration
|
||||
plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-", linewidth=1.2, alpha=0.7)
|
||||
plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 11), "g-", linewidth=1.2, alpha=0.7)
|
||||
plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "k-", linewidth=1.2, alpha=0.7)
|
||||
plt.plot(mpsrange(8, 123), get_line(mpsrange(8, 123), 9), "c-", linewidth=1.2, alpha=0.7)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8), "m-", linewidth=1.2, alpha=0.7)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-", linewidth=1.2, alpha=0.7)
|
||||
ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-", linewidth=1.2, alpha=0.7)
|
||||
ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 11), "g-", linewidth=1.2, alpha=0.7)
|
||||
ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "k-", linewidth=1.2, alpha=0.7)
|
||||
ax.plot(mpsrange(8, 123), get_line(mpsrange(8, 123), 9), "c-", linewidth=1.2, alpha=0.7)
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8), "m-", linewidth=1.2, alpha=0.7)
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-", linewidth=1.2, alpha=0.7)
|
||||
|
||||
# required dwellTime consideration
|
||||
plt.plot([0], [0], "b-", label="SF12/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot([0], [0], "g-", label="SF11/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot(mpsrange(8, 19), get_line(mpsrange(8, 19), 10), "k-",
|
||||
ax.plot([0], [0], "b-", label="SF12/125kHz", linewidth=3, alpha=1)
|
||||
ax.plot([0], [0], "g-", label="SF11/125kHz", linewidth=3, alpha=1)
|
||||
ax.plot(mpsrange(8, 19), get_line(mpsrange(8, 19), 10), "k-",
|
||||
label="SF10/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 9), "c-",
|
||||
ax.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 9), "c-",
|
||||
label="SF9/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot(mpsrange(8, 133), get_line(mpsrange(8, 133), 8), "m-",
|
||||
ax.plot(mpsrange(8, 133), get_line(mpsrange(8, 133), 8), "m-",
|
||||
label="SF8/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-",
|
||||
label="SF7/125kHz", linewidth=3, alpha=1)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=250), "b--",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=250), "b--",
|
||||
label="SF7/250kHz", linewidth=3, alpha=0.5)
|
||||
|
||||
plt.plot(x, [400 for i in range(0, 255)], "r--", linewidth=2, alpha=0.7)
|
||||
plt.plot(x, [200 for i in range(0, 255)], "r--", linewidth=2, alpha=0.7)
|
||||
plt.plot(x, [4000 for i in range(0, 255)], "r--", linewidth=2, alpha=0.7)
|
||||
ax.plot(x, [400 for i in range(0, 255)], "r--", linewidth=2, alpha=0.7)
|
||||
ax.plot(x, [200 for i in range(0, 255)], "r--", linewidth=2, alpha=0.7)
|
||||
ax.plot(x, [4000 for i in range(0, 255)], "r--", linewidth=2, alpha=0.7)
|
||||
|
||||
plt.xlabel("PHY Payload Size (Byte)")
|
||||
plt.ylabel("Time on Air (ms)")
|
||||
|
||||
plt.legend(loc="upper left", fancybox=True, shadow=True)
|
||||
plt.grid(True)
|
||||
ax.set_xlim(0, 260)
|
||||
ax.set_ylim(0, 5000)
|
||||
ax.set_xlabel("PHY Payload Size (Byte)")
|
||||
ax.set_ylabel("Time on Air (ms)")
|
||||
ax.grid(True)
|
||||
ax.legend(loc="upper left", fancybox=True, shadow=True)
|
||||
|
||||
fig.tight_layout()
|
||||
plt.show()
|
||||
fig.savefig("image/as923-with-arib180.png")
|
||||
|
||||
#########
|
||||
#
|
||||
#
|
||||
#
|
||||
plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
|
||||
plt.title("AS923 vs Others (SF12)")
|
||||
|
||||
plt.ylim(0, 5000)
|
||||
fig = plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
|
||||
ax = fig.add_subplot(1,1,1)
|
||||
ax.set_title("AS923 vs Others (SF12)")
|
||||
|
||||
x = range(0, 255)
|
||||
plt.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 12, bw=500), "r-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 12, bw=500), "r-", linewidth=3, alpha=0.05)
|
||||
|
||||
# no dwellTime consideration
|
||||
plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-",
|
||||
ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-",
|
||||
label="SF12/125kHz", linewidth=3.0, alpha=1)
|
||||
|
||||
# LoRa: SF12 / 500 kHz
|
||||
plt.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 12, bw=500), "r-",
|
||||
ax.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 12, bw=500), "r-",
|
||||
label="SF12/500kHz", linewidth=3, alpha=1)
|
||||
|
||||
plt.xlabel("PHY Payload Size (Byte)")
|
||||
plt.ylabel("Time on Air (ms)")
|
||||
|
||||
plt.legend(loc="best", fancybox=True, shadow=True)
|
||||
plt.grid(True)
|
||||
ax.set_xlim(0, 260)
|
||||
ax.set_ylim(0, 5000)
|
||||
ax.set_xlabel("PHY Payload Size (Byte)")
|
||||
ax.set_ylabel("Time on Air (ms)")
|
||||
ax.grid(True)
|
||||
ax.legend(loc="best", fancybox=True, shadow=True)
|
||||
|
||||
fig.tight_layout()
|
||||
plt.show()
|
||||
fig.savefig("image/as923-vs-others-sf12.png")
|
||||
|
||||
#########
|
||||
#
|
||||
#
|
||||
#
|
||||
plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
|
||||
plt.title("AS923 vs Others (SF10)")
|
||||
|
||||
plt.ylim(0, 5000)
|
||||
fig = plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
|
||||
ax = fig.add_subplot(1,1,1)
|
||||
ax.set_title("AS923 vs Others (SF10)")
|
||||
|
||||
x = range(0, 255)
|
||||
plt.plot(x, get_line(x, 10), "b-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 10, bw=500), "r-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 10), "b-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 10, bw=500), "r-", linewidth=3, alpha=0.05)
|
||||
|
||||
# no dwellTime consideration
|
||||
plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "b-",
|
||||
ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "b-",
|
||||
label="SF10/125kHz", linewidth=3.0, alpha=1)
|
||||
|
||||
# LoRa: SF10 / 500 kHz
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 10, bw=500), "r-",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 10, bw=500), "r-",
|
||||
label="SF10/500kHz", linewidth=3, alpha=1)
|
||||
|
||||
plt.xlabel("PHY Payload Size (Byte)")
|
||||
plt.ylabel("Time on Air (ms)")
|
||||
|
||||
plt.legend(loc="best", fancybox=True, shadow=True)
|
||||
plt.grid(True)
|
||||
ax.set_xlim(0, 260)
|
||||
ax.set_ylim(0, 5000)
|
||||
ax.set_xlabel("PHY Payload Size (Byte)")
|
||||
ax.set_ylabel("Time on Air (ms)")
|
||||
ax.grid(True)
|
||||
ax.legend(loc="best", fancybox=True, shadow=True)
|
||||
|
||||
fig.tight_layout()
|
||||
plt.show()
|
||||
fig.savefig("image/as923-vs-others-sf10.png")
|
||||
|
||||
#########
|
||||
#
|
||||
#
|
||||
#
|
||||
plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
|
||||
|
||||
plt.title("LoRaWAN")
|
||||
plt.ylim(0, 5000)
|
||||
fig = plt.figure(num=None, figsize=(16, 8), facecolor='w', edgecolor='k')
|
||||
ax = fig.add_subplot(1,1,1)
|
||||
ax.set_title("LoRaWAN")
|
||||
|
||||
x = range(0, 255)
|
||||
plt.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
|
||||
plt.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 12), "b-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 11), "g-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 10), "k-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 9), "c-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 8), "m-", linewidth=3, alpha=0.05)
|
||||
ax.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
|
||||
|
||||
# SF BW bit rate Max. MACPayload
|
||||
# 12 125 250 59
|
||||
|
|
@ -285,22 +286,22 @@ plt.plot(x, get_line(x, 7), "y-", linewidth=3, alpha=0.05)
|
|||
# 9 125 1760 123
|
||||
# 8 125 3125 250
|
||||
# 7 125 5470 250
|
||||
plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-",
|
||||
ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 12), "b-",
|
||||
label="SF12/125kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 11), "g-",
|
||||
ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 11), "g-",
|
||||
label="SF11/125kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "k-",
|
||||
ax.plot(mpsrange(8, 59), get_line(mpsrange(8, 59), 10), "k-",
|
||||
label="SF10/125kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 123), get_line(mpsrange(8, 123), 9), "c-",
|
||||
ax.plot(mpsrange(8, 123), get_line(mpsrange(8, 123), 9), "c-",
|
||||
label="SF9/125kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8), "m-",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8), "m-",
|
||||
label="SF8/125kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7), "y-",
|
||||
label="SF7/125kHz", linewidth=2.0)
|
||||
|
||||
# SF BW bit rate Max. MACPayload
|
||||
# 7 250 11000 250
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=250), "b-.",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=250), "b-.",
|
||||
label="SF7/250kHz", linewidth=2.0)
|
||||
|
||||
# SF BW bit rate Max. MACPayload
|
||||
|
|
@ -310,24 +311,27 @@ plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=250), "b-.",
|
|||
# 9 500 7000 250
|
||||
# 8 500 12500 250
|
||||
# 7 500 21900 250
|
||||
plt.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 12, bw=500), "b--",
|
||||
ax.plot(mpsrange(8, 61), get_line(mpsrange(8, 61), 12, bw=500), "b--",
|
||||
label="SF12/500kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 137), get_line(mpsrange(8, 137), 11, bw=500), "g--",
|
||||
ax.plot(mpsrange(8, 137), get_line(mpsrange(8, 137), 11, bw=500), "g--",
|
||||
label="SF11/500kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 10, bw=500), "k--",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 10, bw=500), "k--",
|
||||
label="SF10/500kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 9, bw=500), "c--",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 9, bw=500), "c--",
|
||||
label="SF9/500kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8, bw=500), "m--",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 8, bw=500), "m--",
|
||||
label="SF8/500kHz", linewidth=2.0)
|
||||
plt.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=500), "y--",
|
||||
ax.plot(mpsrange(8, 250), get_line(mpsrange(8, 250), 7, bw=500), "y--",
|
||||
label="SF7/500kHz", linewidth=2.0)
|
||||
|
||||
plt.xlabel("PHY Payload Size (Byte)")
|
||||
plt.ylabel("Time on Air (ms)")
|
||||
|
||||
plt.legend(loc="upper right", fancybox=True, shadow=True)
|
||||
plt.grid(True)
|
||||
ax.set_xlim(0, 260)
|
||||
ax.set_ylim(0, 5000)
|
||||
ax.set_xlabel("PHY Payload Size (Byte)")
|
||||
ax.set_ylabel("Time on Air (ms)")
|
||||
ax.grid(True)
|
||||
ax.legend(loc="upper right", fancybox=True, shadow=True)
|
||||
|
||||
fig.tight_layout()
|
||||
plt.show()
|
||||
fig.savefig("image/lorawan-toa.png")
|
||||
|
||||
|
|
|
|||
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|
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|
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|
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|
|
@ -15,24 +15,32 @@ def mpsrange(a, b):
|
|||
b += 6 # MHDR + MIC + 1
|
||||
return range(a, b)
|
||||
|
||||
def get_toa(n_size, n_sf, n_bw=125, enable_dro=1, disable_h=0, n_cr=1,
|
||||
n_preamble=8):
|
||||
def get_toa(n_size, n_sf, n_bw=125, enable_auto_ldro=True, enable_ldro=False,
|
||||
enable_eh=True, enable_crc=True, n_cr=1, n_preamble=8):
|
||||
'''
|
||||
Parameters:
|
||||
n_size:
|
||||
PL in the fomula. PHY Payload size in byte (= MAC Payload + 5)
|
||||
n_sf: SF (12 to 7)
|
||||
n_bw: Bandwidth in kHz. default is 125 kHz for AS923.
|
||||
enable_dro:
|
||||
DE in the fomula.
|
||||
1 when the low data rate optimization is enabled.
|
||||
0 for disabled.
|
||||
LoRaWAN always use the low data optimization.
|
||||
disable_eh:
|
||||
IH in the fomula.
|
||||
0 when the explicit header is enabled.
|
||||
1 when no header is present.
|
||||
LoRaWAN always use the header.
|
||||
enable_auto_ldro
|
||||
flag whether the auto Low Data Rate Optimization is enabled or not.
|
||||
default is True.
|
||||
enable_ldro:
|
||||
if enable_auto_ldro is disabled, LDRO is disable by default,
|
||||
which means that DE in the fomula is going to be 0.
|
||||
When enable_ldro is set to True, DE is going to be 1.
|
||||
LoRaWAN specification does not specify the usage.
|
||||
SX1276 datasheet reuiqres to enable LDRO
|
||||
when the symbol duration exceeds 16ms.
|
||||
enable_eh:
|
||||
when enable_eh is set to False, IH in the fomula is going to be 1.
|
||||
default is True, which means IH is 0.
|
||||
LoRaWAN always enables the explicit header.
|
||||
enable_crc:
|
||||
when enable_crc is set to False, CRC in the fomula is going to be 0.
|
||||
The downlink stream doesn't use the CRC in the LoRaWAN spec.
|
||||
default is True to calculate ToA for the uplink stream.
|
||||
n_cr:
|
||||
CR in the fomula, should be from 1 to 4.
|
||||
Coding Rate = (n_cr/(n_cr+1)).
|
||||
|
|
@ -53,8 +61,24 @@ def get_toa(n_size, n_sf, n_bw=125, enable_dro=1, disable_h=0, n_cr=1,
|
|||
r_sym = (n_bw*1000.) / math.pow(2,n_sf)
|
||||
t_sym = 1000. / r_sym
|
||||
t_preamble = (n_preamble + 4.25) * t_sym
|
||||
a = 8.*n_size - 4.*n_sf + 28 + 16 - 20.*disable_h
|
||||
b = 4.*(n_sf-2.*enable_dro)
|
||||
# LDRO
|
||||
v_DE = 0
|
||||
if enable_auto_ldro:
|
||||
if t_sym >= 16:
|
||||
v_DE = 1
|
||||
elif enable_ldro:
|
||||
v_DE = 1
|
||||
# IH
|
||||
v_IH = 0
|
||||
if not enable_eh:
|
||||
v_IH = 1
|
||||
# CRC
|
||||
v_CRC = 1
|
||||
if enable_crc == False:
|
||||
v_CRC = 0
|
||||
#
|
||||
a = 8.*n_size - 4.*n_sf + 28 + 16*v_CRC - 20.*v_IH
|
||||
b = 4.*(n_sf-2.*v_DE)
|
||||
v_ceil = a/b
|
||||
n_payload = 8 + max(math.ceil(a/b)*(n_cr+4), 0)
|
||||
t_payload = n_payload * t_sym
|
||||
|
|
@ -65,6 +89,7 @@ def get_toa(n_size, n_sf, n_bw=125, enable_dro=1, disable_h=0, n_cr=1,
|
|||
ret["t_sym"] = t_sym
|
||||
ret["n_preamble"] = n_preamble
|
||||
ret["t_preamble"] = t_preamble
|
||||
ret["v_DE"] = v_DE
|
||||
ret["v_ceil"] = v_ceil
|
||||
ret["n_payload"] = n_payload
|
||||
ret["t_payload"] = t_payload
|
||||
|
|
@ -87,12 +112,17 @@ if __name__ == "__main__" :
|
|||
p.add_argument("--band-width", action="store", dest="n_bw", type=int,
|
||||
default=125,
|
||||
help="bandwidth in kHz. default is 125 kHz.")
|
||||
p.add_argument("--disable-dro", action="store_const", dest="v_de",
|
||||
const=0, default=1,
|
||||
help="disable the low data rate optimization. default is enable as LoRaWAN does.")
|
||||
p.add_argument("--disable-eh", action="store_const", dest="v_h",
|
||||
const=1, default=0,
|
||||
help="disable the explicit header. default is enable as LoRaWAN does.")
|
||||
p.add_argument("--disable-auto-ldro", action="store_false",
|
||||
dest="enable_auto_ldro",
|
||||
help="disable the auto LDRO and disable LDRO.")
|
||||
p.add_argument("--enable-ldro", action="store_true", dest="enable_ldro",
|
||||
help="This option is available when the auto LDRO is disabled.")
|
||||
p.add_argument("--disable-eh", action="store_false", dest="enable_eh",
|
||||
help="disable the explicit header.")
|
||||
p.add_argument("--downlink", action="store_false", dest="enable_crc",
|
||||
help="disable the CRC field, which is for the LoRaWAN downlink stream.")
|
||||
p.add_argument("--disable-crc", action="store_false", dest="enable_crc",
|
||||
help="same effect as the --downlink option.")
|
||||
p.add_argument("--cr", action="store", dest="n_cr", type=int, default=1,
|
||||
help="specify the CR value. default is 1 as LoRaWAN does.")
|
||||
p.add_argument("--preamble", action="store", dest="n_preamble",
|
||||
|
|
@ -105,6 +135,8 @@ if __name__ == "__main__" :
|
|||
const=1, help="increase debug mode.")
|
||||
|
||||
args = p.parse_args()
|
||||
|
||||
args.v_de = False
|
||||
args.debug_level = len(args._f_debug)
|
||||
return args
|
||||
|
||||
|
|
@ -112,15 +144,20 @@ if __name__ == "__main__" :
|
|||
# main
|
||||
#
|
||||
opt = parse_args()
|
||||
ret = get_toa(opt.n_size, opt.n_sf, n_bw=opt.n_bw, enable_dro=opt.v_de,
|
||||
disable_h=opt.v_h, n_cr=opt.n_cr, n_preamble=opt.n_preamble)
|
||||
ret = get_toa(opt.n_size, opt.n_sf, n_bw=opt.n_bw,
|
||||
enable_auto_ldro=opt.enable_auto_ldro,
|
||||
enable_ldro=opt.enable_ldro,
|
||||
enable_eh=opt.enable_eh, enable_crc=opt.enable_crc,
|
||||
n_cr=opt.n_cr, n_preamble=opt.n_preamble)
|
||||
if opt.f_verbose:
|
||||
print "PHY payload size : %d Bytes" % opt.n_size
|
||||
print "MAC payload size : %d Bytes" % (opt.n_size-5)
|
||||
print "Spreading Factor : %d" % opt.n_sf
|
||||
print "Band width : %d kHz" % opt.n_bw
|
||||
print "Low data rate opt. : %s" % ("enable" if opt.v_de else "disable")
|
||||
print "Explicit header : %s" % ("disable" if opt.v_h else "enable")
|
||||
print "Low data rate opt. : %s" % ("enable" if ret["v_DE"]
|
||||
else "disable")
|
||||
print "Explicit header : %s" % ("enable" if opt.enable_eh
|
||||
else "disable")
|
||||
print "CR (coding rate) : %d (4/%d)" % (opt.n_cr, 4+opt.n_cr)
|
||||
print "Symbol Rate : %.3f symbol/s" % ret["r_sym"]
|
||||
print "Symbol Time : %.3f msec/symbol" % ret["t_sym"]
|
||||
|
|
@ -131,7 +168,9 @@ if __name__ == "__main__" :
|
|||
print "Time on Air : %.3f msec" % ret["t_packet"]
|
||||
if opt.debug_level:
|
||||
ret0 = get_toa(0, opt.n_sf, n_bw=opt.n_bw,
|
||||
enable_dro=opt.v_de, disable_h=opt.v_h,
|
||||
enable_auto_ldro=opt.enable_auto_ldro,
|
||||
enable_ldro=opt.enable_ldro,
|
||||
enable_eh=opt.enable_eh, enable_crc=opt.enable_crc,
|
||||
n_cr=opt.n_cr, n_preamble=opt.n_preamble)
|
||||
print "PHY PL=0 ToA : %.3f msec" % (ret0["t_packet"])
|
||||
# preamble=8 cr=1? payload-len=7? crc=16 (payload) payload-crc=16
|
||||
|
|
|
|||
Loading…
Reference in New Issue