4.
For a
signal x(n)=sin(2*pi*n/3) defined for n=0to7, evaluate the Fast
Fourier Transform using signal flow...
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....
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))
S(x) is a cubic spline for the function f(x) = sin(pi x/2) +
cos(pi x/2) at the nodes x0 = 0 ,
x1 = 1 , x2 = 2
and satisfies the clamped boundary conditions. Determine the
coefficient of x3 in S(x) on [0,1] ans. pi/2 -3/2
What increase in speed can be expected in using a fast Fourier
transform algorithm rather than direct arithmetic to compute the
Fourier transform of an image of size 1024 × 1024?
Given a sinusoidal signal:
x(t) = Asin(2πft)
Find Fourier Transform (FT) of the sinusoidal x(t) given above
and plot the spectrum with:
a. A = 2, f = 1000Hz
b. A = 2, f = 9000Hz
c. A = 5, f = 1000Hz
d. A = 10, f = 10000Hz