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[[Image:Non_periodic_simple_sin_function_DT_ECE301Fall2008mboutin.jpg]]
 
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==Making a Periodic Signal from a sum of non-periodic signals==
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Using the non-periodic <math>\ y= \sin(10*pi*ln(t)) </math> I used in homework 1, and summing <math>\ \sum_{k=3} y(t+k10) </math> on a finite interval to create a periodic signal:
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[[Image:Perodic nonperiodic wave_ECE301Fall2008mboutin.jpg]]

Revision as of 15:05, 12 September 2008

Here I use the CT signal x=sin(2*pi*t) with a period of 1 sec:

Simple sin function ECE301Fall2008mboutin.jpg

Producing a periodic discrete time signal from the signal above with sampling rate SR=0.01:

Simple sin function DT ECE301Fall2008mboutin.jpg

Changing the sampling rate to produce a non-periodic DT signal SR=0.09:

Non periodic simple sin function DT ECE301Fall2008mboutin.jpg

Making a Periodic Signal from a sum of non-periodic signals

Using the non-periodic $ \ y= \sin(10*pi*ln(t)) $ I used in homework 1, and summing $ \ \sum_{k=3} y(t+k10) $ on a finite interval to create a periodic signal: Perodic nonperiodic wave ECE301Fall2008mboutin.jpg

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett