Week 10. Chapter 9 1.Convolution sum & integral 1.Kronecker delta and Dirac delta 2.Impulse response...
21
Week 10. Chapter 9 1. Convolution sum & integral 1. Kronecker delta and Dirac delta 2. Impulse response and convolution 2. Impulse response & frequency response 3. FIR 4. IIR
-
date post
23-Jan-2016 -
Category
Documents
-
view
220 -
download
0
Transcript of Week 10. Chapter 9 1.Convolution sum & integral 1.Kronecker delta and Dirac delta 2.Impulse response...
Week 10. Chapter 9
1. Convolution sum & integral1. Kronecker delta and Dirac delta2. Impulse response and convolution
2. Impulse response & frequency response
3. FIR
4. IIR
1. Convolution sum
1. Convolution integral
Example
Example1
1/21/3
n0 1 2
y
Example
Examplex
t
1
y
t
e-t
x*y
t
1-e-t
2. The delta functions
area= 1
Impulse response and convolution (discrete-time)
eecs20/…/topics/convolution/convolution
Impulse response and convolution (cont-time)
h
t
e-t
x
t0 2
y
t0 2
From impulse response to frequency response
An LTI system S is characterized by h, H.The two are related.
Discrete-time
Continuous-time
Example
Example
Causal systems
FIR filter
0 Mk
h
Implementing FIR
topics/convolution/implementation