function y = fft29(x,u,ip,op) % y = fft29(x,u,ip,op) % y : the 29 point DFT of x % u : a vector of precomputed multiplicative constants % ip : input permutation % op : ouput permutation y = zeros(29,1); x = x(ip); % input permutation x(2:29) = KRED([2,7],[2,1],2,x(2:29)); % reduction operations y(1) = x(1)+x(2); % DC term calculation % -------------------- block : 1 ------------------------------------------------- y(2) = x(2)*u(1); % -------------------- block : 2 ------------------------------------------------- y(3) = x(3)*u(2); % -------------------- block : 4 ------------------------------------------------- v = ID2I(1,1,x(4:5)); % v = (I(1) kron D2 kron I(1)) * x(4:5) v = v.*u(3:5); y(4:5) = ID2tI(1,1,v); % y(4:5) = (I(1) kron D2' kron I(1)) * v % -------------------- block : 7 ------------------------------------------------- v = ID3I(2,1,x(6:11)); % v = (I(2) kron D3 kron I(1)) * x(6:11) v = ID2I(1,5,v); % v = (I(1) kron D2 kron I(5)) * v v = v.*u(6:20); v = ID2tI(1,5,v); % v = (I(1) kron D2' kron I(5)) * v y(6:11) = ID3tI(2,1,v); % y(6:11) = (I(2) kron D3' kron I(1)) * v % -------------------- block : 14 = 2 * 7 ---------------------------------------- v = ID3I(2,1,x(12:17)); % v = (I(2) kron D3 kron I(1)) * x(12:17) v = ID2I(1,5,v); % v = (I(1) kron D2 kron I(5)) * v v = v.*u(21:35); v = ID2tI(1,5,v); % v = (I(1) kron D2' kron I(5)) * v y(12:17) = ID3tI(2,1,v); % y(12:17) = (I(2) kron D3' kron I(1)) * v % -------------------- block : 28 = 4 * 7 ---------------------------------------- v = ID3I(4,1,x(18:29)); % v = (I(4) kron D3 kron I(1)) * x(18:29) v = ID2I(1,10,v); % v = (I(1) kron D2 kron I(10)) * v v = ID2I(3,5,v); % v = (I(3) kron D2 kron I(5)) * v v = v.*u(36:80); v = ID2tI(1,15,v); % v = (I(1) kron D2' kron I(15)) * v v = ID2tI(2,5,v); % v = (I(2) kron D2' kron I(5)) * v y(18:29) = ID3tI(4,1,v); % y(18:29) = (I(4) kron D3' kron I(1)) * v % -------------------------------------------------------------------------------- y(2) = y(1)+y(2); % DC term calculation y(2:29) = tKRED([2,7],[2,1],2,y(2:29)); % transpose reduction operations y = y(op); % output permutation % For complex data - % Total Number of Real Multiplications : 160 % Total Number of Real Additions: 836