A fast design algorithm for elliptic-error and phase-error constrained LS 2-D FIR filters

被引:9
作者
Hong, Xiaoying [1 ]
Lai, Xiaoping [2 ]
Zhao, Ruijie [1 ]
机构
[1] Shandong Univ, Sch Mech Elect & Informat Engn, Weihai 264209, Peoples R China
[2] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China
关键词
2-D nonlinear-phase FIR filters; Elliptic-error and phase-error constrained least-squares design; Matrix-based algorithm; LEAST-SQUARES METHOD; DIGITAL-FILTERS; FREQUENCY-RESPONSE; GROUP DELAY; OPTIMIZATION; PROGRAMS;
D O I
10.1007/s11045-014-0312-5
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Two-dimensional (2-D) nonlinear-phase finite impulse response (FIR) filters have found many applications in signal processing and communication systems. This paper considers the elliptic-error and phase-error constrained least-squares design of 2-D nonlinear-phase FIR filters, and develops a matrix-based algorithm to solve the design problem directly for the filter's coefficient matrix rather than vectorizing it first as in the conventional methods. The matrix-based algorithm makes the design to consume much less design time than existing algorithms. Design examples and comparisons with existing methods demonstrate the effectiveness and high efficiency of the proposed design method.
引用
收藏
页码:477 / 491
页数:15
相关论文
共 30 条
[1]   AN ANALYTICAL LEAST-SQUARE SOLUTION TO THE DESIGN PROBLEM OF TWO-DIMENSIONAL FIR FILTERS WITH QUADRANTALLY SYMMETRIC OR ANTISYMMETRIC FREQUENCY-RESPONSE [J].
AHMAD, MO ;
WANG, JD .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (07) :968-979
[2]   DESIGN OF ALMOST MINIMAX FIR FILTERS IN ONE-DIMENSION AND 2-DIMENSIONS BY WLS TECHNIQUES [J].
ALGAZI, VR ;
SUK, M ;
RIM, CS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (06) :590-596
[3]   Weighted least mean square design of 2-D FIR digital filters: The general case [J].
Aravena, JL ;
Gu, GX .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (10) :2568-2578
[4]   DESIGN OF TWO-DIMENSIONAL RECURSIVE DIGITAL-FILTERS USING LINEAR-PROGRAMMING [J].
CHOTTERA, AT ;
JULLIEN, GA .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1982, 29 (12) :817-826
[5]   Uniform FIR filterbank optimization with group delay specifications [J].
Dam, HH ;
Nordholm, S ;
Cantoni, A .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (11) :4249-4260
[6]   Filter bank design for subband adaptive microphone arrays [J].
de Haan, JM ;
Grbic, N ;
Claesson, I ;
Nordholm, SE .
IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING, 2003, 11 (01) :14-23
[7]   Weighted least-squares method for designing variable fractional delay 2-D FIR digital filters [J].
Deng, TB ;
Lu, WS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2000, 47 (02) :114-124
[8]   Optimization of two-dimensional IIR filters with nonseparable and separable denominator [J].
Dumitrescu, B .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2005, 53 (05) :1768-1777
[9]   Trigonometric polynomials positive on frequency domains and applications to 2-D FIR filter design [J].
Dumitrescu, Bogdan .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2006, 54 (11) :4282-4292
[10]   3 DIFFERENT CRITERIA FOR THE DESIGN OF 2-DIMENSIONAL ZERO-PHASE FIR DIGITAL-FILTERS [J].
GISLASON, E ;
JOHANSEN, M ;
CONRADSEN, K ;
ERSBOLL, BK ;
JACOBSEN, SK .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (10) :3070-3074