Continuous Time Convolution Part 1-Digital Signal Processing-Assignment, Exercises of Digital Signal Processing

This assignment wa given by Prof. Bhuvanesh Sankuratri at Baddi University of Emerging Sciences and Technologies for Digital Signal Processing course. Its main points are: Continuous, Time, Convolution, Response, System, Linear, Invariant, Impulse, Response, Input

Typology: Exercises

2011/2012

Uploaded on 07/14/2012

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Continuous Time Convolution:
1. Solve the following for y(t)=x(t)*h(t)
x(t) = u(t)-u(t-4); h(t) = r(t)
2. Convolve the following:
3. Find the response of a system to an input of x(t)=2u(t-10) if h(t)=sin(2t)u(t).
4. A linear time invariant system has the following impulse response:
Use convolution to find the response y(t) to the following input:
Sketch y(t) for the case when a = 1.
ht e ut
at
() ()=
2
xt ut ut() () ( )=−4
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Continuous Time Convolution:

1.x(t) = u(t)-u(t-4); h(t) = r(t) Solve the following for y(t)=x(t)*h(t)

2. Convolve the following:

3. Find the response of a system to an input of x(t)=2u(t-10) if h(t)=sin(2t)u(t).4. A linear time invariant system has the following impulse response:

Use convolution to find the response y(t) to the following input:

Sketch y(t) for the case when a = 1.

h t( ) = 2 e −atu t( ) x t( ) = u t( ) − u t( − 4 )

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5. Determine y(t) = x(t)*h(t) where x(t0 = u(t) and

6. Compute x(t)*v(t) 1

2 t

h(t)

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