Hybrid Filter Banks with Fractional Delays: Minimax Design and Applications to Multichannel Sampling: getCd(phi, h, d) - File Exchange

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Highlights from
Hybrid Filter Banks with Fractional Delays: Minimax Design and Applications to Multichannel Sampling

Analog2Digital(Ak, Bk, Ck, Dk... Analog2Digital: bilinear transformation of an analog system K to discrete
Digital2Analog(Ap, Bp, Cp, Dp... Digital2Analog: bilinear transformation of a discrete system P to analog
IntDelayOp(m) % INTDELAYOP: Integer Delay Operator. IntDelayOp delays the i-th channel of
MVL(Ai, Bi, Aj, Bj, t)
analog_conv(I, sys, f, t, dt) analog_conv: simulate an analog system. Input and output will be given as
designFIR(phi, D, m0, h, M, n...
designIIR(phi, D, m0, h, M)
getAd(phi, h, d)
getBd(phi, h, d)
getCd(phi, h, d)
getF(Af, Bf, Cf, Df, M)
getH(sys, M)
getP(sys, M)
getW(sys, M)
lmi_opt(sys, M, n) LMI_OPT: Linear Matrix Inequality Optimization, used in the design of FIR
Contents.m
demo.m
initialization.m
plot_equi_filters.m
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from Hybrid Filter Banks with Fractional Delays: Minimax Design and Applications to Multichannel Sampling by Ha Nguyen
Implementation and demo of a hybrid FB with fractional delays

getCd(phi, h, d)

function Cd = getCd(phi, h, d)

% getCd: get the C-matrix as in equation (15)
%
% Usage:    Cd = getCd(phi, h, d)
%
% INPUTS:
%       phi: a cell containing all the systems Phi_i(s)
%       h: the fast sampling interval
%       d: the vector of fractional delays
%
% OUTPUT:
%       Cd: matrix Cd as in equation (15)
%
% SEE ALSO: getAd, getBd

C0 = phi{1}{3};
Cd = C0;

for i = 1:length(d)
    Ci = phi{i+1}{3};    
    Cd = blkdiag(Cd, [zeros( 1, size(Ci, 2) ), 1]);
end

Highlights from Hybrid Filter Banks with Fractional Delays: Minimax Design and Applications to Multichannel Sampling

Highlights from
Hybrid Filter Banks with Fractional Delays: Minimax Design and Applications to Multichannel Sampling