EE 124 Signals and Systems
Example 9
Distortionless system
For a system to be distortionless, the output is a replica of the input with some time delay
with the attenuation constant K > 0.
LTIC
system
ECE 124 Signals and Systems
Example 5
Graphic Convolution
Let x(t) be the input, y(t) the output, and h(t) the impulse response of the dynamic
system.
y t x t h t
x h t d
x t h d
Graphic convolutio
ECE 124 HOMEWORK #6
DR. DANIEL BUKOFZER, Spring 2017
1. For the DT periodic signal of HW #5 (Prob. 12), assume that it is applied to a DT system
having impulse response h[ n] (1 a )(a nu[n]) where n i
ECE 124 HOMEWORK #3
DR. DANIEL BUKOFZER, Spring 2017
For each CT system, x(t ) is the input and y (t ) is the output. For each DT system, x[n ] is
the input and y[n ] is the output.
1. A DT LTI system
ECE 124 HOMEWORK #5
DR. DANIEL BUKOFZER, Spring 2017
The first part of this homework deals with a periodic CT signal x(t ) as shown below and the
effect that a system has on it as x(t ) is applied at
ECE 124 HOMEWORK #10
DR. DANIEL BUKOFZER, Spring 2017
1. Draw the pole zero plot for the transfer function of the LTI system where H ( s ) is given by
s 3 4 s 2 s 20
. Identify all the possible conver
ECE 124 HOMEWORK #9
DR. DANIEL BUKOFZER, Spring 2017
1. The signal x(t ) 100sinc 2 (100t ) defined for t is ideally sampled at the
following rates: 100 sps, 150 sps, 200 sps, 250 sps . a) Diagram the
ECE 124 HOMEWORK #7
DR. DANIEL BUKOFZER, Spring 2017
1. a) Explain why the signal x (t )
signal x (t )
x (t )
1
u(t ) is not Fourier Transformable. b) Does the
t 1
1
u(t ) meet the requirements to
ECE 124 HOMEWORK #10
DR. DANIEL BUKOFZER, Spring 2017
1. Draw the pole zero plot for the transfer function of the LTI system where H ( s ) is given by
s 3 4 s 2 s 20
. Identify all the possible conver
ECE 124 HOMEWORK #1
DR. DANIEL BUKOFZER, Spring 2017
1. a) Show the step by step mathematical process that must be followed in order to obtain a
solution for when | 3 j | 5 .
b) Show the step by step
ECE 124 HOMEWORK #12
DR. DANIEL BUKOFZER, Spring 2017
1. The transfer function H ( z ) of a DT LTI system having input x[n ] and output y[n ] , is
1 1.2 z 1 z 2
. Draw the pole-zero plot of the transf
ECE 124 HOMEWORK #11
DR. DANIEL BUKOFZER, Spring 2017
1. Does the bilateral Z-transform of the sequence x[n ] n exist? If it does not, provide a
detailed explanation about why it does not exist. If it
ECE 124 HOMEWORK #4
DR. DANIEL BUKOFZER, Spring 2016
1. The impulse response h (t ) of a CT SISO linear time-invariant system is given by
h(t ) = (t + 1) + 2et u (t ) . Determine whether or not the sy
ECE 124 HOMEWORK #1
DR. DANIEL BUKOFZER, Spring 2016
1. Define the CT signal x(t ) = 3(t )1/3 , t . Determine whether x (t ) is type I, II, or III.
2. Define the DT signal x[n] = sin(n / 7) , n I . De
ECE 124 HOMEWORK #5
DR. DANIEL BUKOFZER, Spring 2016
Suppose it were desired to represent that triangular periodic signal having period T = 2 by an
exponential Fourier Series. The signal is defined by
ECE 124 HOMEWORK #2
DR. DANIEL BUKOFZER, Spring 2016
The following signals are mathematically defined below. Sketch them first and then confirm
the result by plotting them using MATLAB over a sufficie
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ECE 124 HOMEWORK #3
DR. DANIEL BUKOFZER, Spring 2016
The following six problems involve DT signals and systems. The remaining six problems
involve CT signals and systems. This will make it possible fo