**1 Week**

The following signal is applied as the input signal to linear, time-invariant (LTI) systems:

For each of the
systems shown below in terms of their frequency responses, determine the output
signal *y*(*t*) (this is the same as HW #8).

For each of those
systems, plot the magnitude and phase as functions of frequency *w* in rad/sec.
The MATLAB function *logspace* should be used to create a frequency vector
(the same frequency vector can probably be used for all the systems). The MATLAB
function *semilogx* should be used for making the plots. The function *subplot*
can be used to put the magnitude and phase curves on the same sheet.

For each of the
plots, identify the specific magnitudes and phases that correspond to the two
frequencies in the input signal, and relate those values to your answers for *y*(*t*).

**System Frequency Responses:**

System #1

System #2

System #3

System #4

System #5

System #6

System #7

Document your work in a typed report.
Discuss the relationships between the values in the numerators and denominators
of the frequency responses (zeros and poles) and the frequency response plots
that you made and the expressions for *y*(*t*) that you obtained.

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*Latest revision on
Friday, May 19, 2006 10:56 AM
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