4.
For a
signal x(n)=sin(2*pi*n/3) defined for n=0to7, evaluate the Fast
Fourier Transform using signal flow graph. (Use decimation in
frequency Algorithm)
1. is sin(pi/4) causal?
2. is sin(pi/4) stable?
3. is delta(n+1) causal?
4. = ?
5. If function w [ n ] is convolved with , what will the result
be?
6. if a system with signal length 4 is convolved with its own
system response, what will the length of that signal be?
7. In an LTI system, x[n] * h[n]= y[n]. What is x[n-3] * h[n-2]
=?
Using Matlab Simulink, find Fourier transform of the following
signal;
?(?) = 2 + ∑
1 ?
sin (20???)
4
?=1
.
Set simulation stop time = 20 seconds, sample time = (1/1024)
seconds, buffer size =1024, and frequency range in Hz for the
vector scope is −100 ≤ ? ≤ 100
Consider the following periodic signal : x(t)=∑∞n=−∞Π(t−4n2). 1.
Determine and plot the spectrum Fourier Transform of signal x(t) (
For plot : Use only interval n=-2 to n=2). 2. Based on the result
obtained in part one. Determine Complex Exponential Fourier Series,
and trigonometric Fourier Series. 3. Evaluate the energy spectral
density of the periodic signal x(t) in rang (n=-2 to n=2)
USING MATLAB....
a.) Create anonymous functions:
fa(x)=sin(x^2)
fb(x)=sin^2(x)
b.) Evaluate them both at x=1/2 pi
c.)Evaluate them both at x=(0,1,2,...,10)^T
d.) Calculate fa(fb(2)) and fb(fa(2))