f_freqs.m

DSP程序 Matlab是一套用于科学工程计算的可视化高性能语言与软件环境。它集数值分析、矩阵运算、信号处理和图形显示于一体

function [H,f] = f_freqs (b,a,N,fmax)

%F_FREQS: Compute freqeuncy response of continuous-time system
%
%                b(1)s^m + b(2)s^(m-1) + ... + b(m+1)
%         H(s) = --------------------------------------
%                a(1)s^n + a(2)s^(n-2) + ... + a(n+1)  
%
% Usage: [H,f] =f_freqs (b,a,N,fmax);
%
% Inputs: 
%         b    = numerator polynomial coefficient vector  
%         a    = denominator polynomial coefficient vector 
%         N    = number of discrete frequencies 
%         fmax = maximum frequency (0 <= f <= fmax)
% Outputs: 
%          H = 1 by N complex vector containing the 
%              frequency response
%          f = 1 by N vector containing frequencies at 
%              which H is evaluated
%
% Notes:  H(s) must be stable.  Thus the roots of a(s) must
%         lie strictly in the left half plane. 
%
% See also: F_FREQZ, F_FREQ

% Initialize

H = zeros(1,N);
f = linspace(0,fmax,N);
poles = roots(a);
sigma = min(real(poles));
if sigma >= 0
   fprintf ('\nThe filter in f_freqs is not stable.\n')
   return
end

% Compute frequency response

omega = j*2*pi*f;
H = polyval(b,omega) ./ polyval(a,omega);