Issues in the Design of Equiripple FIR Higher Order Digital Differentiators using Weighted Least Squares Technique

Author

Sondur, V.V. ; Sondur, V.B. ; Rao, D.H. ; Latte, M.V. ; Ayachit, N.H.

Author_Institution

Gogte Inst. of Technol., Belgaum

fYear

2007

fDate

24-27 Nov. 2007

Firstpage

189

Lastpage

192

Abstract

Weighted least square method proposed by S. Sunder and V. Ramachandran for the design of a digital differentiator is studied and implemented for an odd length differentiator of single and higher order. The response of the differentiator, variation of mean square error, and normalized difference of envelop function are studied for different iterations. Issues related to convergence of the WLS method are discussed. It is observed that the number of samples used while implementing the WLS algorithm has a significant influence on the results. A low value of the number of samples increases the tendency of the algorithm to converge towards a solution. However, the estimate of the error in the solution is misleading as the actual error in such cases is more than the estimated value.

Keywords

FIR filters; differentiating circuits; equiripple filters; least mean squares methods; WLS algorithm; envelop function; equiripple FIR higher order digital differentiator; finite impulse response filter; mean square error; weighted least squares technique; Biomedical signal processing; Digital signal processing; Finite impulse response filter; Frequency response; Least squares methods; Mean square error methods; Nonlinear filters; Radar signal processing; Signal processing; Signal processing algorithms; Digital differentiators; equiripple; mean square error; weighted least square design;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and Communications, 2007. ICSPC 2007. IEEE International Conference on

Conference_Location

Dubai

Print_ISBN

978-1-4244-1235-8

Electronic_ISBN

978-1-4244-1236-5

Type

conf

DOI

10.1109/ICSPC.2007.4728287

Filename

4728287