#### 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

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