1. Consider the block diagram below of a simple AM radio. Develop the Matlab code to simulate this system where:

X(t) is a rectangle (square wave) signal with 5 cycles with a period of 12

W(t) is a low pass filter with an impulse response h(t) = e"" with r 116

H(t) is a wireless channel with h(t) = 8 (9 - .65(t-5)

Wo is 24 times the period of the square wave

Perform this simulation using Matlab with convolution and multiplication. Show all your matlab code. explain what you are doing. and plot signals x(I), SO). Y(t), Y1(9. Z(0. X 1(t)

Perform the same simulation in Mail* using the Fourier transform.

Prepare a Technical Report which explains the concepts, procedures and analysis of results

Grading:

Demonstrates understanding of concepts 25%

Demonstrates ability to apply Matlab to solve problems 25%

Correct approach to solving the problem 20%

Correct answer to the problem 20%

Well presented report 10%

Introduction of the Pthbl‘x

Background information on the methods used

Explanation of the method applied

Analysis of the solution

Concltniont