《DSP using MATLAB》Problem 6.7

Posted 2021-01-04 ky027wh-sx

代码：

%% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%%            Output Info about this m-file
fprintf(‘
***********************************************************
‘);
fprintf(‘        <DSP using MATLAB> Problem 6.7 

‘);

banner();
%% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
b1 = [2   0  2];  nb1 = [0:2];
b2 = [2  -1];     nb2 = [0:1];
b3 = [1   2  1];  nb3 = [0:2];

a1 = [1  -0.8   0.64]; na1 = [0:2];
a2 = [1  -0.75];       na2 = [0:1];
a3 = [1   0     0.81]; na3 = [0:2];

a11 = conv(a1, a2); b11 = conv(b1, a2) + conv(b2, a1);


fprintf(‘
Direct form: 
‘);
b = conv(b11, a3) + conv(b3, a11)
a = conv(a11, a3)


fprintf(‘
Convert DIRECT-form to PARALLEL-form :     
‘);
[C, Bp, Ap] = dir2par(b, a)

fprintf(‘
Convert DIRECT-form to CASCADE-form :     
‘);
[b0, Bc, Ac] = dir2cas(b, a) 

fprintf(‘
Convert TF-form to SOS-form :     
‘);
[sos, g] = tf2sos(b, a)


fprintf(‘
Convert DIRECT-form to LATTICE-LADDER-form :     
‘);
[Klr, Clr] = dir2ladr(b, a) 

fprintf(‘
Convert DIRECT-form to MATLAB LATTICE-LADDER-form :     
‘);
[K, V] = tf2latc(b, a)

% -----------------------------------------
%     START check
% -----------------------------------------
n = [0:7];
delta = impseq(0, 0, 7)
%format long
format  short
hcas = casfiltr(b0, Bc, Ac, delta)

hpar = parfiltr(C, Bp, Ap, delta)

hladr = ladrfilt(Klr, Clr, delta)

hdir = filter(b, a, delta)
% -------------------------------------------
%       END check
% -------------------------------------------


figure(‘NumberTitle‘, ‘off‘, ‘Name‘, ‘P6.7 hcas(n), hpar(n)‘)
set(gcf,‘Color‘,‘white‘); 
subplot(2,1,1); stem(n, hcas); 
xlabel(‘n‘); ylabel(‘hcas(n)‘);
title(‘hcas(n)‘);  grid on;
subplot(2,1,2); stem(n, hpar); 
xlabel(‘n‘); ylabel(‘hpar(n)‘);
title(‘hpar(n)‘);  grid on;

figure(‘NumberTitle‘, ‘off‘, ‘Name‘, ‘P6.7 hladr(n) hdir(n)‘)
set(gcf,‘Color‘,‘white‘); 
subplot(2,1,1); stem(n, hladr); 
xlabel(‘n‘); ylabel(‘hladr(n)‘);
title(‘hladr(n)‘);  grid on;
subplot(2,1,2); stem(n, hdir);  
xlabel(‘n‘); ylabel(‘hdir(n)‘);
title(‘hdir(n)‘);  grid on;

　　运行结果：

       直接形式系数

        串联形式系数

        并联形式系数

        格型系数