A Closed-Form Transfer Function of 2-D Maximally Flat Half-Band FIR Digital Filters with Arbitrary Filter Orders

被引：0

作者：

Shinohara, Taiki ^{[1
]}

Yoshida, Takashi ^{[1
]}

Aikawa, Naoyuki ^{[1
]}

机构：

[1] Tokyo Univ Sci, Katsushika Ku, 6-3-1 Niijiku, Tokyo 1258585, Japan

来源：

2017 25TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO) | 2017年

关键词：

DIAMOND;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

2-D maximally flat diamond-shaped half-band linear phase FIR digital filters are used in sampling structure conversion. In some cases, this filter is expected to have different filter order for each dimension. However, the conventional methods can realize such filters only if difference between each order is 2, 4 and 6. In this paper, we proposed a closed-form transfer function of 2-D low-pass maximally flat diamond-shaped half-band FIR digital filters with arbitrary filter orders. The constraints to treat arbitrary filter orders are firstly proposed. Then, a closed-form transfer function is achieved by using Bernstein polynomial.

引用

页码：927 / 930

页数：4

共 37 条

[1] A Closed-Form of 2-D Maximally Flat Diamond-Shaped Half-Band FIR Digital Filters with Arbitrary Difference of the Filter Orders
Shinohara, Taiki
Yoshida, Takashi
Aikawa, Naoyuki
[J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2019, E102A (03) : 518 - 523
[2] Closed-form design and efficient implementation of generalized maximally flat half-band FIR filters
Pei, SC
Wang, PH
[J]. IEEE SIGNAL PROCESSING LETTERS, 2000, 7 (06) : 149 - 151
[3] Closed-form design of maximally flat IIR half-band filters
Zhang, X
Amaratunga, K
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2002, 49 (06) : 409 - 417
[4] Closed-form design of maximally flat IIR half-band filters
Zhang, X
Yoshikawa, T
[J]. 2002 6TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS, VOLS I AND II, 2002, : 124 - 127
[5] Generalized half-band maximally flat FIR filters
Samadi, S
Nishihara, A
Iwakura, H
[J]. ISCAS '99: PROCEEDINGS OF THE 1999 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 3: ANALOG AND DIGITAL SIGNAL PROCESSING, 1999, : 279 - 282
[6] Multiplierless and hierarchical structures for maximally flat half-band FIR filters
Samadi, S
Iwakura, K
Nishihara, A
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1999, 46 (09): : 1225 - 1230
[7] Closed-Form Design of Linear-Phase Sharp FIR Half-Band Filters
Kim, K. J.
Seo, J. B.
Nam, S. W.
[J]. 2009 INTERNATIONAL SYMPOSIUM ON INTELLIGENT SIGNAL PROCESSING AND COMMUNICATION SYSTEMS (ISPACS 2009), 2009, : 421 - 424
[8] Closed-form design of maximally flat FIR fractional delay filters
Pei, Soo-Chang
Lin, Huei-Shan
Wang, Peng-Hua
[J]. 2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS, 2006, : 2817 - 2820
[9] Closed-form design of maximally flat FIR fractional delay filters
Pei, Soo-Chang
Wang, Peng-Hua
Lin, Huei-Shan
[J]. IEEE SIGNAL PROCESSING LETTERS, 2006, 13 (07) : 405 - 408
[10] A closed-form design of linear phase fir band-pass maximally flat digital differentiators with an arbitrary center frequency
Yoshida, Takashi
Sugiura, Yosuke
Aikawa, Naoyuki
[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2014, E97A (12) : 2611 - 2617

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