Post on 23-Jan-2016
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