Title :
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
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;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2008.2009838
