Problem

Use (4.23) and the integral tables in Appendix A to verify the Fourier coefficients for th...

Use (4.23) and the integral tables in Appendix A to verify the Fourier coefficients for the following signals in Table:

(a) Square wave


(b) Sawtooth wave


(c) Triangular wave


(d) Rectangular wave


(e) Full-wave rectified wave


(f) Half-wave rectified wave


(g) Impulse train

Verify each preceding result, using the symbolic mathematics of MATLAB. Simplify each expression to agree with Table.


(h) Use the results of Parts (a) and (b) to show that all the Fourier coefficients of x(t) in Part (c) are zero except for C0 = A.

TABLE Fourier Series for Common Signals

Name

Waveform

C0

Ck, k 0

Comments

1. Square wave

0

Ck = 0, k even

2. Sawtooth

 

3. Triangular wave

Ck = 0, k even

4. Full-wave rectified

 

5. Half-wave rectified

Ck = 0, k odd, except

6. Rectangular wave

7. Impulse train

 

Step-by-Step Solution

Request Professional Solution

Request Solution!

We need at least 10 more requests to produce the solution.

0 / 10 have requested this problem solution

The more requests, the faster the answer.

Request! (Login Required)


All students who have requested the solution will be notified once they are available.
Add your Solution
Textbook Solutions and Answers Search
Solutions For Problems in Chapter 4