《DSP using MATLAB》Problem 6.21

代码:
%% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%% Output Info about this m-file
fprintf('\n***********************************************************\n');
fprintf(' <DSP using MATLAB> Problem 6.21 \n\n');
banner();
%% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%format long;
format short;
fprintf('\n FIR filter All-Zero LATTICE-form: \n');
Klc = [2, 0.6, 0.3, 0.5, 0.9]
% ----------------------------------------------------------
% NOTE: linear-phase can not use LATTICE-form
% ----------------------------------------------------------
fprintf('\nConvert All-Zero LATTICE-form to DIRECT-form : \n');
[b] = latc2dir(Klc)
a = 1
fprintf('\nConvert DIRECT-form to PARALLEL-form : \n');
[C, Bp, Ap] = dir2par(b, a)
if size(C)==0
C = 0;
end
fprintf('\nConvert DIRECT-form to CASCADE-form : \n');
[b0, Bc, Ac] = dir2cas(b, a)
fprintf('\nConvert TF-form to SOS-form : \n');
[sos, g] = tf2sos(b, a)
fprintf('\nConvert DIRECT-form to FREQUENCY-SAMPLE-form 1 : \n');
[Cfs, Bfs, Afs] = dir2fs(b)
fprintf('\nConvert DIRECT-form to FREQUENCY-SAMPLE-form 2 : \n');
r = 0.99;
[Cfs_r, Bfs_r, Afs_r, rM] = dir2fs_r(b, r)
% -----------------------------------------
% START check
% -----------------------------------------
n = [0:7];
delta = impseq(0, 0, 7)
%format long
format short
hcas = casfiltr(b0, Bc, Ac, delta)
hltc = latcfilt(Klc, delta)
%hladr = ladrfilt(Klr, Clr, delta)
hdir = filter(b, a, delta)
% -------------------------------------------
% END check
% -------------------------------------------
运行结果:
得到的直接形式系数

串联形式系数

频率采样形式1系数

频率采样形式2系数

Lattice和直接形式流图

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