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  Time dependent changes-
 
  Time dependent changes-
1. Time delay- In simple terms you are shifting the original signal by a factor. For eg.
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1. Time delay-  
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In simple terms you are shifting the original signal by a factor. For eg.
 
  [[File:Graph1.1.PNG|Time shift example]]
 
  [[File:Graph1.1.PNG|Time shift example]]
  
 
In this example as you can see, a simple way of understanding time shift/delay is by looking at how the graph changes when you want a shift in the signal.
 
In this example as you can see, a simple way of understanding time shift/delay is by looking at how the graph changes when you want a shift in the signal.
  
2. Time scaling- In simple terms you are shifting the height/width of the graph of a signal.
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2. Time scaling-  
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In simple terms you are shifting the height/width of the graph of a signal.
 
[[File:Graph1.2.PNG|amplitude scaling graph example]]
 
[[File:Graph1.2.PNG|amplitude scaling graph example]]
  
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3. Time reversal-
 
3. Time reversal-
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When you negate the independent variable, the graph of the dependent variable changes to a mirror image of the original graph.
  
 
[[File:Graph1.3.PNG|time reversal]]
 
[[File:Graph1.3.PNG|time reversal]]

Revision as of 20:58, 1 December 2018

Time dependent changes-

1. Time delay- In simple terms you are shifting the original signal by a factor. For eg.

Time shift example

In this example as you can see, a simple way of understanding time shift/delay is by looking at how the graph changes when you want a shift in the signal.

2. Time scaling- In simple terms you are shifting the height/width of the graph of a signal. amplitude scaling graph example

The change in graph depends on the value of a. If |a|>0, then the height increases, else it decreases.

3. Time reversal- When you negate the independent variable, the graph of the dependent variable changes to a mirror image of the original graph.

time reversal

Alumni Liaison

Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal