Solution:

MATLAB Program:

$\mathrm{Wp}=500 * 2 * \mathrm{pi}$;

$\mathrm{Ws}=1000 * 2 * \mathrm{pi} ;$

R p=0.5 ;

R s=50 ;

$ [\mathrm{N}, \mathrm{Wc}]=\operatorname{cheb} \operatorname{ord}(\mathrm{Wp}, \mathrm{Ws}, \mathrm{Rp}, \mathrm{Rs}, ' \mathrm{~s}$ ' $) $

$ [\mathrm{B}, \mathrm{A}]=\operatorname{cheby} 1(\mathrm{~N}, \mathrm{Rp}, \mathrm{Wc}$, ' $\mathrm{s}$ ' $) $

omega =[0: 1: 3 * W c];

$ \mathrm{h}=\operatorname{freqs}(\mathrm{B}, \mathrm{A}$, omega $) ; $

plot (omega. / (2*pi), (abs (h)), 'm');

title('Chebyshev LPF Example 5.2');

$\mathrm{xlabel}$ ('Frequency in $\mathrm{Hz}$ '); ylabel ('Magnitude');