Write a general Matlab code to: a) Plot a piecewise signal, x(t), for the signal expressed in elementary functions. b) Calculate the total energy in the signal, x(t). Test your code with the following signal, 1 1 ) = [/⁄r(t + 1) + = u(t) − = r(t) + r(t = - + r(t − 1) − 3 r(t - 2) 1 -u(t − 2.5) + 2 r(t − 2.5) −u(t - 4)]

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Part b only plz
Write a general Matlab code to:
a) Plot a piecewise signal, x(t), for the signal expressed in elementary
functions.
b) Calculate the total energy in the signal, x(t).
Test your code with the following signal,
1
x(t) =
) = [/r(t + 1) + ½u(t) − ½ r(t) + r(t − 1) − 3 r(t − 2)
·
-u(t-2.5) + 2 r(t - 2.5) −u(t - 4)]
Transcribed Image Text:Write a general Matlab code to: a) Plot a piecewise signal, x(t), for the signal expressed in elementary functions. b) Calculate the total energy in the signal, x(t). Test your code with the following signal, 1 x(t) = ) = [/r(t + 1) + ½u(t) − ½ r(t) + r(t − 1) − 3 r(t − 2) · -u(t-2.5) + 2 r(t - 2.5) −u(t - 4)]
close all
clear all
clc
% we can define r(t) = t*u(t) where u(t) is unit step
function.
% u(t) is defined in matlab as heaviside (t)
t = -3:0.01:5;
x1 = (t+1).*heaviside (t+1)/2 ;
x2 = heaviside(t)/2 ;
x3 = -t.*heaviside (t)/2 ;
x4 = (t-1).*heaviside(t-1);
x5 = -3* (t-2).*heaviside (t-2);
x6 = -heaviside (t-2.5)/2 ;
x7 = 2* (t-2.5).*heaviside (t-2.5) ;
x8 = -heaviside (t-4)/2;
x = x1+x2+x3+x4+x5+x6+x7+x8;
plot(t, x)
ylim ([-1,3])
grid on
xlabel('time (t)')
ylabel('Signal x(t)')
Result:
Signal x(t)
3
2.5
2
1.5
1
0.5
0
-0.5
-1
-3
-2
-1
0
1
time (t)
2
3
4
5
Transcribed Image Text:close all clear all clc % we can define r(t) = t*u(t) where u(t) is unit step function. % u(t) is defined in matlab as heaviside (t) t = -3:0.01:5; x1 = (t+1).*heaviside (t+1)/2 ; x2 = heaviside(t)/2 ; x3 = -t.*heaviside (t)/2 ; x4 = (t-1).*heaviside(t-1); x5 = -3* (t-2).*heaviside (t-2); x6 = -heaviside (t-2.5)/2 ; x7 = 2* (t-2.5).*heaviside (t-2.5) ; x8 = -heaviside (t-4)/2; x = x1+x2+x3+x4+x5+x6+x7+x8; plot(t, x) ylim ([-1,3]) grid on xlabel('time (t)') ylabel('Signal x(t)') Result: Signal x(t) 3 2.5 2 1.5 1 0.5 0 -0.5 -1 -3 -2 -1 0 1 time (t) 2 3 4 5
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