A closed-form of 2-D maximally flat diamond-shaped half-band FIR digital filters with arbitrary difference of the filter orders

Taiki Shinohara, Takashi Yoshida, Naoyuki Aikawa

Research output: Contribution to journalArticle

Abstract

Two-dimensional (2-D) maximally flat finite impulse response (FIR) digital filters have flat characteristics in both passband and stopband. 2-D maximally flat diamond-shaped half-band FIR digital filter can be designed very efficiently as a special case of 2-D half-band FIR filters. In some cases, this filter would require the reduction of the filter lengths for one of the axes while keeping the other axis unchanged. However, the conventional methods can realize such filters only if difference between each order is 2, 4 and 6. In this paper, we propose a closed-form frequency response 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.

Original languageEnglish
Pages (from-to)518-523
Number of pages6
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE102A
Issue number3
DOIs
Publication statusPublished - Mar 2019

Fingerprint

Digital Filter
FIR filters
Impulse Response
Digital filters
Strombus or kite or diamond
Diamonds
Closed-form
Filter
Arbitrary
Frequency response
Transfer functions
Bernstein Polynomials
Polynomials
Frequency Response
Transfer Function

Keywords

  • 2-D diamond-shaped filter
  • Arbitrary different filter orders
  • Closed-form expression
  • Half-band filter
  • Maximally flat

Cite this

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