Problem 1:
Consider the input signal.
x n 0,1, 0, 1, 0
Consider the system response.
h n 0,1, 1, 1, 1,1, 0
(a)
It is clear from the sign`al, h n , system is defined for n 0 . Thus, system is non-causal
system.
(b)
Check whether signal is summable or not.

Question 12.8:
To solve the Question 12.8, we must know the following properties:
Property 1:
Impulse function
t 0
or
t 0 = 1 at t 0
t
exist at,
0 for all t 0
Property 2:
From the properties of the impulse function:
t t t dt = t
0
0
So, impulse func

Name: ABDULLAH ALKALBI
Student I'd: U06967879
Term/course: SP15/Signals & System
Date: 20th may 2015
Instructor: RAZAVILAR, JAVAD
P3.1
Consider the periodic signal x t .
Signal x t is periodic signal with periodicity 2.
T 2 sec
Fourier series of a periodi

Abdullah Alkalbi
ECE-40051
Dr. Javad Razavilar
05/04/2015
(1)
(a)
A linear system S has the relationship,
y n
Here, a
x k g n 2k
k
g n u n u n 4
g n 2 k u n 2k u n 2k 4
and x n n 1 or x k k 1
It is clear that input x k is defined at k 1 . So,
y n
k

Problem 1:
Consider the input signal.
x n 0,1, 0, 1, 0
Consider the system response.
h n 0,1, 1, 1, 1,1, 0
(a)
It is clear from the signal,
h n
, system is defined for
n0
. Thus, system is non-causal
system.
(b)
Check whether signal is summable or not.
h

Abdullah Alkalbi
ECE-40051
Dr. Javad Razavilar
04/29/2015
1.
(a)
Save the MATLAB file Abdullah.m using diary on and diary off command.
> n=0:40;
>omega=0.1*2*pi;
>phase_offset=0;
> A=1.5;
>arg=omega*n-phase_offset;
>xn=A*cos(arg);
>stem(n,xn);
>axis([0 40

Text book: signals and systems by oppenheim and willsky
second edition
Question 1.2
(a)
Consider the complex number.
x jy 5
The above equation can be rewritten as,
x jy 5 j 0
Here
x 5 and y 0
Conversion of complex number into polar form is as follows:
y