ECE 381: Laboratory 12

Winter 2006

Fourier Transform

April 18


    

Assignment


 

1. The Fourier transform of the unit pulse is the sinc function. Consider the x(t) as given below.

 

                  Plot the sinc functions for the given values of τ = 1.5, τ = 2. Shown below is the program for τ = 1.

  

Use M7.1 (Page 754). What happens when you change the width of the signal?

 

2. Plot Fourier transform of a cosine signal x = cos(2*pi*n/10). Use the number of samples, N=64, 128, 256.

 

Hint: Use the fft function of MATLAB.

 

What happens when you change the number of samples?

 

3. Plot Fourier transform of (2) varying the repetitions. Use N = 256. Your observations should be same as (1).