Design of FIR Digital Differentiators Using Maximal Linearity Constraints(Filter Design)(<Special Section>Digital Signal Processing)

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概要

• 論文の詳細を見る

• Classical designs of maximally flat finite impulse response digital filters need to perform inverse discrete Fourier transformation of the frequency responses, in order to calculate the impulse response coefficients. Several attempts have been made to simplify the designs by obtaining explicit formulas for the impulse response coefficients. Such formulas have been derived for digital differentiators having maximal linearity at zero frequency, using different techniques including interpolating polynomials and the Taylor series etc. We show that these formulas can be obtained directly by application of maximal linearity constraints on the frequency response. The design problem is formulated as a system of linear equations, which can be solved to achieve maximal linearity at an arbitrary frequency. Certain special characteristics of the determinant of the coefficients matrix of these equations are explored for designs centered at zero frequency, and are used in derivation of explicit formulas for the impulse response coefficients of digital differentiators of both odd and even lengths.

• 社団法人電子情報通信学会の論文
• 2004-08-01

著者

• Khan Ishtiaq

  The Department Of Information And Media Sciences The University Of Kitakyushu:the Collaboration Cent

• Okuda Masahiro

  The Department Of Information And Media Sciences The University Of Kitakyushu

• Ohba Ryoji

  The Division Of Applied Physics Graduate School Of Engineering Hokkaido University

関連論文

• New Efficient Designs of Discrete and Differentiating FIR Hilbert Transformers
• Design of FIR Digital Differentiators Using Maximal Linearity Constraints(Filter Design)(Digital Signal Processing)
• Efficient Design of Halfband Low/High Pass FIR Filters Using Explicit Formulas for Tap-Coefficients

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