《DSP using MATLAB》Problem 6.15

Posted 2021-01-06 ky027wh-sx

代码：

%% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%%            Output Info about this m-file
fprintf(‘
***********************************************************
‘);
fprintf(‘        <DSP using MATLAB> Problem 6.15 

‘);

banner();
%% ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
%format long;
format short;
fprintf(‘
 DIRECT-form:     
‘);
b = [1.0  0   -2.20   0  1.6368  0  -0.48928  0  5395456*10^(-8)  0  -147456*10^(-8) ]
a = [1.0  0   -1.65   0  0.8778  0  -0.17281  0  1057221*10^(-8)  0  -893025*10^(-10)]


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

if size(C)==0
  C = 0;
end

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
% -------------------------------------------


b01 = 1;
Bc1 = [1.0  1.8  0.8;
	   1.0  1.0  0.24;
	   1.0  0.2  0; ];
Ac1 = [1.0  1.6  0.63;
	   1.0  0.8  0.15;
	   1.0  0.1  0;];
fprintf(‘
Convert 1st part to DIRECT-form from CASCADE-form :     
‘);
[b1, a1] = cas2dir(b01, Bc1, Ac1) 
b1 = b1(1:6);
a1 = a1(1:6);

fprintf(‘
Convert 1st part to PARALLEL-form from DIRECT-form :     
‘);
[C1, Bp1, Ap1] = dir2par(b1, a1)

if size(C1)==0
  C1 = 0;
end


b02 = 1;
Bc2 = [1.0  -1.0  0.24;
	   1.0  -1.8  0.80;
	   1.0  -0.2  0.00; ];
Ac2 = [1.0  -0.8  0.15;
	   1.0  -1.6  0.63;
	   1.0  -0.1  0.00;];
fprintf(‘
Convert 2nd part to DIRECT-form from CASCADE-form :     
‘);
[b2, a2] = cas2dir(b02, Bc2, Ac2) 
b2 = b2(1:6);
a2 = a2(1:6);

fprintf(‘
Convert 2nd part to PARALLEL-form from DIRECT-form :     
‘);
[C2, Bp2, Ap2] = dir2par(b2, a2)

if size(C2)==0
  C2 = 0;
end

　　运行结果：

       直接形式系数

        并联形式系数

        串联形式系数

        由总的直接形式转换成串联形式，再分成两部分的串联，这两部分写成并联形式，而后串联。

        第1部分的并联形式

        第2部分的并联形式

          题中的附图，系数标注不准的地方直接改了。