codec2/octave/gp_interleaver.m

60 lines
1.2 KiB
Matlab

% gp_interleaver.m
%
% David Rowe May 2017
%
% Golden Prime Interleaver. My interprestation of "On the Analysis and
% Design of Good Algebraic Interleavers", Xie et al,eq (5).
1;
% return 1 if prime
function ret = is_prime(x)
for i=2:x-1
if mod(x,i) == 0
ret = 0;
return;
end
end
ret = 1;
end
function x = next_prime(x)
x++;
while is_prime(x) == 0
x++;
end
end
% Choose b for Golden Prime Interleaver. b is chosen to be the
% closest integer, which is relatively prime to N, to the Golden
% section of N.
function b = choose_interleaver_b(Nbits)
b = floor(Nbits/1.62);
b = next_prime(b);
assert(gcd(b,Nbits) == 1, "b and Nbits must be co-prime");
end
function interleaved_frame = gp_interleave(frame)
Nbits = length(frame);
b = choose_interleaver_b(Nbits);
interleaved_frame = zeros(1,Nbits);
for i=1:Nbits
j = mod((b*(i-1)), Nbits);
interleaved_frame(j+1) = frame(i);
end
endfunction
function frame = gp_deinterleave(interleaved_frame)
Nbits = length(interleaved_frame);
b = choose_interleaver_b(Nbits);
frame = zeros(1,Nbits);
for i=1:Nbits
j = mod((b*(i-1)), Nbits);
frame(i) = interleaved_frame(j+1);
end
endfunction