《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