Title :
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
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;
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
DOI :
10.1109/ICSPC.2007.4728287
