Abstract
In this paper, we present a numerical method for the equiripple approximation of minimum phase FIR digital filters. Many methods have been proposed for the design of such filters. Many of them first design a linear phase filter whose length is twice as long, and then factorize the filter to obtain the minimum phase. Although these methods theoretically guarantee its optimality, it is difficult to control the ratio of ripples between different bands. In the conventional lowpass filter design, for example, when different weights are given for its passband and stopband, one needs to iteratively design the filter by trial and error to achieve the ratio of the weights exactly. To address this problem, we modifies well-known Parks-McClellan algorithm and make it possible to directly control the ripple ratios. The method iteratively solves a set of linear equations with controlling the ratio of ripples. Using this method, the equiripple solutions are obtained quickly.
| Original language | English |
|---|---|
| Pages (from-to) | 751-756 |
| Number of pages | 6 |
| Journal | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences |
| Volume | E89-A |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2006 |
| Externally published | Yes |
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Keywords
- Bandpass filters
- FIR filter
- Minimum phase
- Ripple ratio
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Hardware and Architecture
- Information Systems
Cite this
Design of equiripple minimum phase FIR filters with ripple ratio control. / Okuda, Masahiro; Ikehara, Masaaki; Takahashi, Shin Ichi.
In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E89-A, No. 3, 2006, p. 751-756.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Design of equiripple minimum phase FIR filters with ripple ratio control
AU - Okuda, Masahiro
AU - Ikehara, Masaaki
AU - Takahashi, Shin Ichi
PY - 2006
Y1 - 2006
N2 - In this paper, we present a numerical method for the equiripple approximation of minimum phase FIR digital filters. Many methods have been proposed for the design of such filters. Many of them first design a linear phase filter whose length is twice as long, and then factorize the filter to obtain the minimum phase. Although these methods theoretically guarantee its optimality, it is difficult to control the ratio of ripples between different bands. In the conventional lowpass filter design, for example, when different weights are given for its passband and stopband, one needs to iteratively design the filter by trial and error to achieve the ratio of the weights exactly. To address this problem, we modifies well-known Parks-McClellan algorithm and make it possible to directly control the ripple ratios. The method iteratively solves a set of linear equations with controlling the ratio of ripples. Using this method, the equiripple solutions are obtained quickly.
AB - In this paper, we present a numerical method for the equiripple approximation of minimum phase FIR digital filters. Many methods have been proposed for the design of such filters. Many of them first design a linear phase filter whose length is twice as long, and then factorize the filter to obtain the minimum phase. Although these methods theoretically guarantee its optimality, it is difficult to control the ratio of ripples between different bands. In the conventional lowpass filter design, for example, when different weights are given for its passband and stopband, one needs to iteratively design the filter by trial and error to achieve the ratio of the weights exactly. To address this problem, we modifies well-known Parks-McClellan algorithm and make it possible to directly control the ripple ratios. The method iteratively solves a set of linear equations with controlling the ratio of ripples. Using this method, the equiripple solutions are obtained quickly.
KW - Bandpass filters
KW - FIR filter
KW - Minimum phase
KW - Ripple ratio
UR - http://www.scopus.com/inward/record.url?scp=33645736959&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33645736959&partnerID=8YFLogxK
U2 - 10.1093/ietfec/e89-a.3.751
DO - 10.1093/ietfec/e89-a.3.751
M3 - Article
AN - SCOPUS:33645736959
VL - E89-A
SP - 751
EP - 756
JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
SN - 0916-8508
IS - 3
ER -