# Linewidth 2 xlabel tsec ylabel gt title original

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'LineWidth' ,2); xlabel( 't(sec)' );ylabel( 'g(t)' );title( ' Original function,g(t) ' ); axis([tmin,tmax,gmin,gmax]); grid; subplot(2,2,2); plot(t,g1, 'b' , 'LineWidth' ,2); xlabel( 't(sec)' ); ylabel( '3g(t+1)' ); title( 'First Change' ); axis([tmin,tmax,gmin,gmax]);grid; subplot(2,2,3); plot(t,g2, 'r' , 'LineWidth' ,2); xlabel( 't(sec)' );ylabel( 'g(3t)/2' ); title([ 'Second Change ' ]); axis([tmin tmax gmin gmax]); grid; subplot(2,2,4); plot(t,g3, 'g' , 'LineWidth' ,2); xlabel( 't(sec)' );ylabel( '-2g((t-1)/2)' ); title( 'Third Change' ); axis([tmin,tmax,gmin,gmax]);grid
Q4: Periodic and Aperiodic signal determination using MATLAB Which of these functions are periodic and, if one is, what is its fundamental frequency? (a) g ( t ) = 10sin ( 12 πt ) + 4cos ( 18 πt ) (b) x ( t ) = 10sin ( 12 πt ) + 4 cos ( 18 t ) (c) y ( t ) = e j 60 πt Q5: Determining Even and odd parts of a function using MATALB Write a MATLAB code that compute even and odd part of the function given below and plot the results. (a) g ( t ) = 20cos ( 40 πt π 4 ) (b) y ( t ) = { 0, t < 0 t , 0 < t ≤ 1 t + 2,1 < t ≤ 2 0, t > 2 (c) % Program to computer and plot the even and odd part of Q#5 % Main function start here function GraphEvenAndOdd t =-5:0.1:5; ge= (g(t)+g(-t))/2; go = (g(t)-g(-t))/2; fmax = max([max(ge),max(go)]); fmin= min([min(ge), min(go)]); % part -B subplot(2,1,1); plot(t,ge, 'b' , 'LineWidth' ,2); xlabel( 't(sec)' );ylabel( 'g_e(t)' );grid; axis([-5 5 fmin fmax]); subplot(2,1,2); plot(t,go, 'r' , 'LineWidth' ,2); xlabel( 't(sec)' ); ylabel( 'g_o(t)' );grid;axis([-5 5 fmin fmax]); ( ii ) ( i )
% Subfunction start here (only accessible within the main function) function y = g(t) y1= t; y2= -t+2; y= y1.*(0<t&t<=1)+y2.*(1<t&t<=2); end end Q6. Finding signal energy and power of signals using MATLAB Find the signal energy or power of the signals (a) x ( t ) = 4 e t 10 rec ( t 4 3 ) (b) A periodic signal of fundamental period 10 described over on period by x ( t ) =− 3 t , 5 < t < 5 % Program to compute the signal energy or power of Question # 6 %(a) dt = 0.1; t=-7:dt:13; x = 4*exp(-t/10).*rectangularPulse((t-4)/3); xsq = x.^2; Energy = trapz(t,xsq); disp([ '(a) Energy = ' , num2str(Energy)]); % (b) T0 = 10; % Fundamental Period of the periodic signal t= -5:dt:5; x = -3*t; xsq = x.^2; Power = trapz(t,xsq)/T0; disp([ '(b) Power = ' ,num2str(Power)]);

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• Fall '19
• Continuous function, 2T

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