In: Electrical Engineering

For a signal x(n)=sin(2*pi*n/5) defined for n=0to7, evaluate the Fast Fourier Transform using signal flow graph. (Use decimation in Time Algorithm).

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)

What is the effect of the filter on the Fast Fourier Transform
of voice signal?
Is quantization visible? How can you tell?

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))

Find the Fourier series expansion of f(x)=sin(x) on [-pi,pi].
Show all work and reasoning.

Find the real Fourier series of the piece-wise continuous
periodic function
f(x) = x+sin(x) -pi<=x<pi

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]
=?

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?

Find the Fourier Series for the function defined over -5 < x
< 5
f(x) = -2 when -5<x<0 and f(x) = 3 when 0<x<5
You can use either the real or complex form but must show
work.
Plot on Desmos the first 10 terms of the series along with the
original
function.

Determine the Fourier transform of a Gaussian pulse defined as x(t) = e?t2. Plot both x(t) and X(?).

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- Accounting for intangible assets. Discuss relevance versus reliability as they apply to reporting on the intangible...
- Role of evidence and expertise in scientific controversy.
- Assume that you are a program director who has recently hired a university-based researcher to evaluate...
- Stock Y has a beta of 0.7 and an expected return of 8.29 percent. Stock Z...
- Scenario: Your company appears to be taking unfair advantage of the working conditions in an overseas...
- 1 a. A buffer solution is prepared by placing 5.86 grams of sodium nitrite and 32.6...
- What does James compare monarchy to? Why? history

ADVERTISEMENT