IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL
Main Article Content
Abstract
Root-finding is an oldest classical problem, which is still an important research topic, due to its impact on computational algebra and geometry. In communications systems, when the impulse response of the channel is minimum phase the state of equalization algorithm is reduced and the spectral efficiency will improved. To make the channel impulse response minimum phase the prefilter which is called minimum phase filter is used, the adaptation of the minimum phase filter need root finding algorithm. In this paper, the VHDL implementation of the root finding algorithm introduced by Clark and Hau is introduced.
VHDL program is used in the work, to find the roots of two channels and make them minimum phase, the obtained output results are similar in accuracy to the past work results, which is built by using MATLAB program. Using VHDL is necessary in FPGAs for building hardware of the root finding algorithm in lower cost and time. MATLAB program is used only for displaying the input and output discrete signals of tested channels.
Article Details
How to Cite
Publication Dates
References
Morten Hansen, Lars P. B. Christensen, and Ole Winther "Computing the Minimum- Phase Filter Using the QL Factorization", IEEE Transaction on Signal Processing, Vol. 58, No. 6, June 2010.
Wolfgang H. Gerstacker, Frank Obernosterer, Raimund Meyer, and Johannes B. Huber, " On Prefilter Computation for Reduced-State Equalization", IEEE Transaction on Wireless Communications, Vol. 1, No. 4, October 2002'
Hau,S.F. “Adaptive Adjustment of Modern Receiver for HF Radio Links”, Ph.D. Thesis, Loughborough University of Technology, 1986.
Gordana Jovanovic-Dolecek and Vlatko Dolecek, "Narrowband Minimum Phase Filter Design Using Sharpened Comb
Filter", ECCTD’01 - European Conference on Circuit Theory and Design, August 28-31, 2001, Espoo, Finland.
V. Roshan Joseph, Yubin Tian nd C. F. Jeff Wu," Adaptive Designs For Stochastic Root-Finding", Statistica Sinica 17(2007), 1549-1565.
KAREN A. KOPECKY," Root-Finding Methods", Lecture Notes ECO 613/614 FALL 2007.
Clark, A.P and Hau, S.F, “Adaptive adjustment of receiver for distorted digital signals”, IEE Proc. 1984,131, pt. F. pp.526-536.
Uwe Meyer-Baesea , A. Vera b , A. Meyer- Baese a , M. Pattichis b , R. Perry a , a FAMU-FSU, "Discrete Wavelet Transform FPGA Design using Matlab/simulink", ECE Dept., 2525 Pottsdamer Street, Tallahassee, FLUSA-32310;
b University of New Mexico, ECE Dept., Albuquerque, NM 87131, 2006.
Buthaina Mosa Omran, "Improvement Techniques for Satellite Digital Video Broadcasting Using OFDM", Ph.D. Thesis,
University of Baghdad, 2007.
Zainalabedin Navabi, "VHDL Analysis and Modeling of Digital Systems", McGraw-Hill Series in Electrical and Computer Engineering, 1993.
Mark Zwolinski, "Digital System Design with VHDL", Prentice Hall, 2000.