Design of First-Order Differentiator and Integrator Using Bilinear Transformations

Lin-Chuan TSAI  Kuo-Chih CHU  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E92-A   No.3   pp.928-931
Publication Date: 2009/03/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E92.A.928
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
wide-band,  linear phase,  

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Simple and accurate formulations are employed to represent discrete-time infinite impulse response (IIR) processes of first-order differentiator and integrator. These formulations allow them to be eligible for wide-band applications. Both first-order differentiator and integrator have an almost linear phase. The new differentiator has an error of less than 1% for the range 0-0.8π of normalized frequency and the new integrator has an error of less than 1.1% for the range 0-0.8π of normalized frequency.