📄 lsp2pre.m
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function A = lsp2pre(L)%LSP2PRE A = lsp2pre(L)% Converts the line-spectral pairs representation to% a set of predictor coefficients. Note the predictor% analysis filter is defined as % A(z) = 1 + a1*z^-1 + a2*z^-2 + ...% i.e. E(z) = A(z)S(z) where E is the error and S% the speech data% INPUTS:% L line spectral pairs (must be EVEN length)% (In matrix case, each column should be a% set of lsp coeffs.)% OUTPUTS:% A predictor coefficients (in matrix case, each% column is a set of pre coeffs.)%i = sqrt(-1);twpi = 2*pi;[p,num] = size(L);A = zeros(p+1,num);if (rem(p,2) ~= 0), error('p not even');endfor j = 1:num,l = L(:,j);rtP(1:2:p) = exp(i*twpi*l(2:2:p));rtP(2:2:p) = exp(-i*twpi*l(2:2:p));rtQ(1:2:p) = exp(i*twpi*l(1:2:p));rtQ(2:2:p) = exp(-i*twpi*l(1:2:p));rtP(p+1) = 1;rtQ(p+1) = -1;Q = poly(rtQ);P = poly(rtP);a = real(.5 * (Q + P))';a = a(1:p+1);A(:,j) = a;end
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