ELET 331

1. ( 20 points) Express each of the following complex numbers in Cartesian form ( x + j y):

a)

 

 

b)

 

 

 

 

 

 

 

 

 

 

2. (20 points) Express each of the following complex numbers in polar form (, with – π < θ ≤ π):

a) 1 + j

 

b) j (1-j)

 

c) (1 + j ) / (1 – j)

 

d) -3 j

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3. (20 points)Find the Amplitude, fundamental period, frequency and phase for the following sine wave

 

 

 

 

 

 

 

 

 

 

4. (20 points) Plot the following signals

a. , b. , c. , d.

 

 

 

 

 

 

 

 

 

5. (20 points) Plot the frequency component of signal

 

What is the bandwidth of this signal?