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

被引:0
|
作者
Sondur, V. V. [1 ]
Sondur, V. B. [1 ]
Rao, D. H. [1 ]
Latte, M. V. [2 ]
Ayachit, N. H. [2 ]
机构
[1] Gogte Inst Technol, Belgaum 590008, India
[2] SDM Coll Engn & Technol, Dharwad 580002, Karnataka, India
关键词
Digital differentiators; equiripple; mean square error; weighted least square design;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
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.
引用
收藏
页码:189 / +
页数:2
相关论文
共 50 条
  • [21] An improved weighted least-squares design of FIR digital filters with variable fractional delay
    Lu, WS
    Deng, TB
    ISCAS '99: PROCEEDINGS OF THE 1999 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 3: ANALOG AND DIGITAL SIGNAL PROCESSING, 1999, : 383 - 386
  • [22] Design of arbitrary complex coefficient FIR digital filters by complex weighted least squares approximation
    Pei, Soo-Chang
    Shyu, Jong-Jy
    IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1994, 41 (12): : 817 - 820
  • [23] Weighted least-squares approximation of FIR by IIR digital filters
    Brandenstein, H
    Unbehauen, R
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (03) : 558 - 568
  • [24] Designing low-delay maximally flat integer-order FIR digital differentiators with equiripple stopband
    Fujikawa, Takahiro
    Kunii, Ryosuke
    Aikawa, Naoyuki
    2018 IEEE 61ST INTERNATIONAL MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS (MWSCAS), 2018, : 960 - 963
  • [25] SIMPLIFIED WEIGHTED LEAST-SQUARES DESIGN OF 2-D FIR DIGITAL-FILTERS
    GAUTHIER, C
    PAULIN, J
    BELLANGER, M
    ANNALES DES TELECOMMUNICATIONS-ANNALS OF TELECOMMUNICATIONS, 1994, 49 (9-10): : 499 - 504
  • [26] Design of FIR digital differentiators using maximal linearity constraints
    Khan, IR
    Okuda, M
    Ohba, R
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2004, E87A (08) : 2010 - 2017
  • [27] Efficient weighted least-squares algorithm for the design of FIR filters
    Jou, YD
    Hsieh, CH
    Kuo, CM
    IEE PROCEEDINGS-VISION IMAGE AND SIGNAL PROCESSING, 1997, 144 (04): : 244 - 248
  • [28] WEIGHTED LEAST-SQUARES DESIGN AND CHARACTERIZATION OF COMPLEX FIR FILTERS
    JAFFER, AG
    JONES, WE
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (10) : 2398 - 2401
  • [29] Design of Second Order Digital FIR Full-Band Differentiators Using Weighting Coefficients
    Lekic, Predrag N.
    Micic, Aca D.
    Ristic, Jovan D.
    Lekic, Julijana B.
    IETE JOURNAL OF RESEARCH, 2010, 56 (01) : 22 - 29
  • [30] Least-squares design of digital differentiators using neural networks with closed-form derivations
    Jou, YD
    IEEE SIGNAL PROCESSING LETTERS, 2005, 12 (11) : 760 - 763