MATLAB Help!!!

ECE 2001 Homework

The Fourier series for a sawtooth wave with amplitude A and period T0 is

where N=? and

1. Write a MATLAB script to compute and plot this function. Instead of infinity, use a finite value of N which is input by the user. The plot time axis should contain two periods. You may make A and T0 constants in the script, rather than having the user input those values.

2. Your script probably uses one loop. Write a new version which does not use any loops. Hint: observe that the sum of bn times the sine (which is a function of n and t) can be rewritten as a vector times a matrix where one dimension of the matrix corresponds to n and the other to t. Procedure: (a) create vectors n and t, (b) create vector bn , (c) via appropriate vector multiplication of n and t create matrix where one dimension corresponds to n and the other to t and use that to compute sine, (d) perform matrix multiplication.

Label the plot axes and title the plots. Test each version using N=5 and N=50.

(0) - 2 Masin Alat 11=1