On Pascal Matrix for Transforming Lowpass Analog Filter to Bandpass Digital Filter

Author

Choo, Younseok ; Choi, Gin Kyu

Author_Institution

Dept. of Electron. & Electr. Eng., Hongik Univ., Chungnam

Volume

16

Issue

2

fYear

2009

Firstpage

77

Lastpage

80

Abstract

Recently, a method has been proposed in the literature for transforming lowpass analog filter to bandpass digital filter. In the method, the transformation matrix consists of Pascal matrix and some additional columns that were empirically obtained. In this letter, it is shown that such additional columns are not required if the coefficient vectors are slightly modified. In addition, the transformation was expressed in a biquadratic form. Then a simple procedure is presented which enables one to successively compute biquadratic transformation matrices of various order.

Keywords

band-pass filters; digital filters; filtering theory; low-pass filters; matrix algebra; bandpass digital filter; biquadratic transformation matrix; lowpass analog filter; pascal matrix; Band pass filters; Difference equations; Digital filters; Frequency; Polynomials; Sampling methods; Signal processing algorithms; Transfer functions; Analog filter; Pascal matrix; biquadratic transformation matrix; digital filter;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2008.2009838

Filename

4745928