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数字信号处理英文版课件:Chapter 10 FIR Digital Filter Design.ppt
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数字信号处理英文版课件:Chapter 10 FIR Digital Filter Design.ppt
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Chapter 10 FIR Digital Filter Design
Preliminary Consideration
FIR Digital Filter Design Methods
MATLAB Functions in FIR Filter Design
10.1 Preliminary Consideration
Digital Filter Specifications
Basic Approach to FIR Digital Filter
Design
FIR Digital Filter Order Estimation
10.1.1 Basic Approaches to design
FIR filters
Unlike IIR digital filter design, FIR filter
design does not have any connection with
the design of analog filters.
The design of FIR filters is based on a
direct approximation of the specified
magnitude response, with often added
requirement that the phase response be
linear.
Recall a causal FIR frequency response H(e
jω
)
of length N+1:
)(
0
|)(|][)(
wjjw
N
n
jwnjw
eeHenheH
Magnitude Response Phase Response
For a linear-phase FIR, we have:
Or, as we known:
h[n] =
h[n] =
±
±
h[N-n]
h[N-n]
,)(
c
For β= 0, π, ±π/2
,
2
N
c
10.1.2 Estimation of the Filter Order
The order (length-1) of G(z) is directly
estimated from the digital filter specification.
Several authors have advanced formulas :
Kaiser’s Formula:
)2/()(6.14
13)(log20
10
PS
SP
N
Bellanger’s Formula:
10
log (10 )
2
1
3 ( ) /(2 )
P S
S P
N
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