Al-Alaoui operator and the new transformation polynomials for discretization of analogue systems

被引:43
作者
Al-Alaoui, Mohamad Adnan [1 ]
机构
[1] Amer Univ Beirut, Dept Elect & Comp Engn, Beirut 11072020, Lebanon
关键词
Al-Alaoui operator; digital filters; discretization; s-to-z transforms;
D O I
10.1007/s00202-007-0092-0
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The "new transformation polynomials for discretization of analogue systems" was recently introduced. The work proposes that the discretization of 1/s(n) should be done independently rather than by raising the discrete representation of 1/s to the power n. Several examples are given in to back this idea. In this paper it is shown that the "new transformation polynomials for discretization of analogue systems" is exactly the same as the parameterized Al-Alaoui operator. In the following sections, we will show that the same results could be obtained with the parameterized Al-Alaoui operator.
引用
收藏
页码:455 / 467
页数:13
相关论文
共 45 条
[1]   Using fractional delay to control the magnitudes and phases of integrators and differentiators [J].
Al-Alaoui, M. A. .
IET SIGNAL PROCESSING, 2007, 1 (02) :107-119
[2]   An enhanced first-order sigma-delta modulator with a controllable signal-to-noise ratio [J].
Al-Alaoui, MA ;
Ferzli, R .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (03) :634-643
[3]   Linear phase low-pass IIR digital differentiators [J].
Al-Alaoui, Mohamad Adnan .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2007, 55 (02) :697-706
[4]   NOVEL IIR DIFFERENTIATOR FROM THE SIMPSON INTEGRATION RULE [J].
ALALAOUI, MA .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (02) :186-187
[5]   NOVEL-APPROACH TO DESIGNING DIGITAL DIFFERENTIATORS [J].
ALALAOUI, MA .
ELECTRONICS LETTERS, 1992, 28 (15) :1376-1378
[6]   Filling the gap between the bilinear and the backward-difference transforms: An interactive design approach [J].
AlAlaoui, MA .
INTERNATIONAL JOURNAL OF ELECTRICAL ENGINEERING EDUCATION, 1997, 34 (04) :331-337
[7]   NOVEL DIGITAL INTEGRATOR AND DIFFERENTIATOR [J].
ALALAOUI, MA .
ELECTRONICS LETTERS, 1993, 29 (04) :376-378
[8]  
ALALAOUI MA, 2001, FUNDAM THEORY APPL, V48, P1326
[9]  
ALALAOUI MA, 1993, IEE ELECT LETT, V29, P934
[10]  
ALALAOUI MA, 2007, FUNDAM THEORY APPL, V54, P338