(New page: LTI System with and without memory memoryless depends on the present for example y(t) = x(t-1) is not memoryless because it depends on the past While y(t) = 2x(t) is memoryless because it...)
 
 
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LTI System with and without memory
 
LTI System with and without memory
  
memoryless depends on the present
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memoryless depends on the present, that is the output at any time depends only on the value of the input at that same time.
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for example y(t) = x(t-1) is not memoryless because it depends on the past
 
for example y(t) = x(t-1) is not memoryless because it depends on the past
While y(t) = 2x(t) is memoryless because it is in the present
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Since when y(1) =x(0), the output at that specific time does not have to depend on the value of the input.
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another example y(t) = 2x(t) is memoryless because it is in the present
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Since y(1) = 2x(1) this shows the output and the input are the same time.

Latest revision as of 12:43, 7 July 2009

LTI System with and without memory

memoryless depends on the present, that is the output at any time depends only on the value of the input at that same time.

for example y(t) = x(t-1) is not memoryless because it depends on the past Since when y(1) =x(0), the output at that specific time does not have to depend on the value of the input. another example y(t) = 2x(t) is memoryless because it is in the present Since y(1) = 2x(1) this shows the output and the input are the same time.

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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