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.
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(1) When the input is a s
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 convolution takes the following steps:
(1) Replace the time argum
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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 sufficiently large range of values of the
time variable to be a
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 x(t ) = tri(t 1) in the time interval
0 < t < 2 and ou
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 . Determine whether x[n] is type I, II, or III.
At the bott
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 system is causal, stable, memoryless,
and invertible.
2.
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 for me avoid starting every
problem with a statement abou