[signal denoising] speech adaptive denoising based on nonlinear filter with matlab code

1 brief introduction

2 Part of the code

function A = construct_operator(T, rho, y)if iscolumn(y) % 1d    L = length(y) - (T+1);    A = zeros(L+1,T+1);    for i = 1:T+1        % take the i-th cannonical basis vector        e = zeros(T+1, 1);        e(i) = 1;        % apply the operator        A(:,i) = direct_operator(e, rho, y);    endelseif ismatrix(y) && prod(size(y) == size(y')) % 2d    L = length(y) - (T+1);    A = zeros((L+1)^2, (T+1)^2);    for i = 1:T+1        for j = 1:T+1            % take the (i,j)-th cannonical basis matrix            e = zeros(T+1, T+1);            e(i,j) = 1;            % apply the operator            Ae = direct_operator(e, rho, y);            A(:,i+(T+1)*(j-1)) = Ae(:);        end    endelse    error('Wrong input format');endend

3 Simulation results

4 reference

1. Adaptive Recovery of Signals by Convex Optimization Z. Harchaoui, A. Juditsky, A. Nemirovski, D. Ostrovskii. COLT 2015.

2. Structure-Blind Signal Recovery D. Ostrovskii, Z. Harchaoui, A. Judistky, A. Nemirovski. NIPS 2016.

3. Efficient First-Order Algorithms for Adaptive Signal Denoising D. Ostrovskii, Z. Harchaoui. ICML 2018.

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