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% Chapter 05: Example 05.06: Simple DFT Example % x = [1,1,1,1]; subplot(1,1,1); % % a) DTFT w = [0:1:500]*2*pi/500; [H] = freqz(x,1,w); magH = abs(H); phaH = angle(H); phaH(126)=-47.5841*pi/180; subp

% Chapter 05: Example 05.07: Zero-padding Example % subplot(1,1,1); x = [1,1,1,1]; % % a) DTFT w = [0:1:500]*2*pi/500; [H] = freqz(x,1,w); magH = abs(H); phaH = angle(H); phaH(126)=-47.5841*pi/180; %

% 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(1,2,1);p

% 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 = (M-1

% Chapter 7: Example 7.18 % Freq. Samp. Tech.: Highpass, Optimum method T1 % ws=0.6pi, wp=0.8pi, Rp=1dB, As=50dB % M=33, T1 = 0.1095; T2 = 0.598; M = 33; alpha = (M-1)

% Chapter 7: Example 7.14 % Freq. Samp. Tech.: Lowpass,Naive method % M = 20; alpha = (M-1)/2; l = 0:M-1; wl = (2*pi/M)*l; Hrs = [1,1,1,zeros(1,15),1,1]; Hdr = [1,1,0,0]; wdl = [0,0.25,0.25

% 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,ones(

% Chapter 7 Example 7.25 % Highpass filter design using PM algorithm % ws = 0.6*pi; wp = 0.75*pi; Rp = 0.5; As = 50; delta1 = (10^(Rp/20)-1)/(10^(Rp/20)+1); delta2 = (1+delta1)*(10^(-As/20))

% 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(1,1,1) sub

% 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*Dw*k1,