《DSP using MATLAB》Problem 4.12

时间:2023-03-09 05:55:33
《DSP using MATLAB》Problem 4.12

《DSP using MATLAB》Problem 4.12

《DSP using MATLAB》Problem 4.12

《DSP using MATLAB》Problem 4.12

《DSP using MATLAB》Problem 4.12

代码:

function [As, Ac, r, v0] = invCCPP(b0, b1, a1, a2)
% Determine the signal parameters Ac, As, r, v0 in terms of
% the rational function parameters b0, b1, a1 and a2.
% ----------------------------------------------------
% function [As, Ac, r, v0] = invCCPP(b0, b1, a1, a2)
%
% b0, b1 = numerator coefficient
% a1, a2 = denominator coefficient
%
% x(n)=Ac*(r^n)*cos(pi*v0*n)*u(n) + As*(r^n)*sin(pi*v0*n)*u(n)
%
Ac = b0;
r = sqrt(a2);
v0 = acos(-a1/(2*r)) / pi;
As = (b1-a1*b0/2) / (r*sin(v0*pi));