#1. Represent the function: e(t)=5sin31.4t+2sin44t+6sin15.74t+2sin37.68t as a discrete set of N=128 numbers seperated by a time...

#1. Represent the function: e(t)=5sin31.4t+2sin44t+6sin15.74t+2sin37.68t as a discrete set of N=128 numbers seperated by a time increment of (1/N). Using MatLab construct an amplitude spectrum from the data set.

#2. Repeat problem #1 using a data set of 256 numbers at sigma(t)=(1/N) and sigma(t)=(1/2N) seconds. Please show the full code used in matlab to solve the problems.

Expert Solution

%%Matlab code for plotting amplitude spectrum
clear all
close all

figure(1)

t=0:1/128:1;
e=5*sin(31.4*t)+2*sin(44*t)+6*sin(15.74*t)+2*sin(37.68*t);
stem(t,e)

title('Amplitude spectrum for N=128')
xlabel('t')
ylabel('e(t)')

figure(2)

t=0:1/256:1;
e=5*sin(31.4*t)+2*sin(44*t)+6*sin(15.74*t)+2*sin(37.68*t);
stem(t,e)

title('Amplitude spectrum for N=256')
xlabel('t')
ylabel('e(t)')

%%%%%%%%%% End of Code %%%%%%%%%

Colby Messinger answered 2 years ago

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