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% Chapter 7: Example 7.19 % Freq. Samp. Tech.: Differentiator % M = 33; alpha = (M-1)/2; Dw = 2*pi/M; l = 0:M-1; wl = Dw*l; k1 = 0:floor((M-1)/2); k2 = floor((M-1)/2)+1:M-1; Hrs = [j*

% Chapter 7: Example 7.15 % Freq. Samp. Tech.: Lowpass,Optimum method % % (a) T1 = 0.39 M = 40; alpha = (M-1)/2; l = 0:M-1; wl = (2*pi/M)*l; Hrs = [ones(1,5),0.3904,zeros(1,29),0.3904,

% Chapter 7: Example 7.22 % Error function plot and counting of extrema figure(1);subplot(1,1,1) h = [1,2,3,4,3,2,1]/15; M = length(h); n = 0:M-1; [Hr,w,a,L] = Hr_Type1(h); subplot(1,

% Chapter 7: Example 7.16 % Freq. Samp. Tech.: Lowpass, Optimum method T1 & T2 % wp = 0.2pi, ws=0.3pi, Rp=0.25dB, As=50dB % T1 = 0.5925, T2=0.1099 M = 60; alpha =

% Chapter 7: Example 7.15 % Freq. Samp. Tech.: Lowpass,Optimum method % % (a) T1 = 0.5 M = 40; alpha = (M-1)/2; l = 0:M-1; wl = (2*pi/M)*l; Hrs = [ones(1,5),0.5,zeros(1,29),0.5,ones(1,

% Chapter 7: Example 7.3 Amplitude vs Magnitude response % h = [1,1,1]; w = [0:500]*pi/500; H = freqz(h,1,w); magH = abs(H); phaH = angle(H); ampH = ones(1,501)+2*cos(w); angH = -w; subplot(1,1

% Chapter 7 Figure mfile: % Mfile to draw figures on equiripplr amplitude response, % error function, and weighted error function. % a) equiripple amplitude response figu

subplot(1,1,1) n = 0:10; x = (0.9*exp(j*pi/3)).^n; k = -200:200; w = (pi/100)*k; X = x * (exp(-j*pi/100)) .^ (n'*k); magX = abs(X); angX =angle(X); subplot(2,1,1); plot(w/pi,magX);grid axis([-2,

w = [0:1:500]*pi/500; % [0, pi] axis divided into 501 points. X = exp(j*w) ./ (exp(j*w) - 0.9*ones(1,501)); magX = abs(X); angX = angle(X); subplot(2,1,1); plot(w/pi,magX); grid; axis([0,1,0,10])

n = 0:100; x = cos(pi*n/2); k = -100:100; w = (pi/100)*k; % frequency between -pi and +pi X = x * (exp(-j*pi/100)).^(n'*k); % DTFT of x % y = exp(j*pi*n/4).*x; % signal mu