For the signal shown in Figure find the signals x(2t and 1).

<img src='./qimages/13273-1a.jpg'>

Define periodic signal, odd signal and even signal with an example of each.

2. Check whether the following system is

static,

linear,

causal, and

time invariant.


3t

3. Determine the natural response of the system described by the following difference equation

3/4 1/8

Given: l.

4. Find the convolution of the given signals



5. Find the Fourier series for the periodic signal 0 t 1 and repeats every 1 sec.

6. Find the Fourier transform of
for t 1
0 otherwise.

Discuss the properties of Discrete Fourier transform.

Determine the signal that corresponds to this Fourier transform:

[0.5+0.5 cos

8. Using long division, determine the inverse Z-transform of ,if

is causal,

is non-causal.

9. Find the Z-transform and ROC of the following signal:



10. Write short notes on any two of the following:

Relation between Fourier transform and Z-transform

Different types of operations on signals

ROC in Z-transform