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# Digital Signal Processing (D.S.P)

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## Ahmed Salem

on 19 May 2014

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#### Transcript of Digital Signal Processing (D.S.P)

Properties of system
1- linearity
2- causality
3- time invariant
4- stability
5- with memory & memory less

VIP Rules
d/dt u(t)= delta (t)
integrate delta(t)=u(t)
Properties of convolution
1- commutativity
2- associativity
3- distributivity
What is a signal ? :)
-its a natural information change with time
1D ==> signal
2D ==> image
Response of continuous LTI
system
1- impulse response
2- step response
3- response to any arbitrary i/p
Digital Signal Processing (D.S.P)
Types of signals
&
Classification of systems
1- analog signal
2- digital signal
3- even & odd signal
4- periodic & non periodic signal
5- random & deterministic signal
6- real & complex
7- power & energy signal
Properties of LTI system
1- linearity
2- causality
3- time invariant
4- stability
5- with memory & memory less
Response of discrete LTI
system
1- impulse response
2- step response
3- response to any arbitrary i/p
Types of difference equation
1- recursive equation
2- Non-recursive equation
Define ROC in Laplace
its a region that contain a Laplace transform and doesn't contain any poles

note
table of Laplace :)
What is the important of ROC at Z-transform
1- determine the region that contain a z-tr
2- cant make inverse Z-tr without ROC
3- Difference between signals

note :
table of z-tr
Inverse z-transform
its contain to methods :

1- using partial fraction method
2- using power series expansion
Full transcript