function y = fft17(x,u,ip,op) % y = fft17(x,u,ip,op) % y : the 17 point DFT of x % u : a vector of precomputed multiplicative constants % ip : input permutation % op : ouput permutation y = zeros(17,1); x = x(ip); % input permutation x(2:17) = KRED([2],[4],1,x(2:17)); % 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 : 8 ------------------------------------------------- v = ID2I(1,2,x(6:9)); % v = (I(1) kron D2 kron I(2)) * x(6:9) v = ID2I(3,1,v); % v = (I(3) kron D2 kron I(1)) * v v = v.*u(6:14); v = ID2tI(1,3,v); % v = (I(1) kron D2' kron I(3)) * v y(6:9) = ID2tI(2,1,v); % y(6:9) = (I(2) kron D2' kron I(1)) * v % -------------------- block : 16 ------------------------------------------------ v = ID2I(1,4,x(10:17)); % v = (I(1) kron D2 kron I(4)) * x(10:17) v = ID2I(3,2,v); % v = (I(3) kron D2 kron I(2)) * v v = ID2I(9,1,v); % v = (I(9) kron D2 kron I(1)) * v v = v.*u(15:41); v = ID2tI(1,9,v); % v = (I(1) kron D2' kron I(9)) * v v = ID2tI(2,3,v); % v = (I(2) kron D2' kron I(3)) * v y(10:17) = ID2tI(4,1,v); % y(10:17) = (I(4) kron D2' kron I(1)) * v % -------------------------------------------------------------------------------- y(2) = y(1)+y(2); % DC term calculation y(2:17) = tKRED([2],[4],1,y(2:17)); % transpose reduction operations y = y(op); % output permutation % For complex data - % Total Number of Real Multiplications : 82 % Total Number of Real Additions: 274