A Common Operator for Discrete Wavelet Transform and Viterbi Algorithm

V. Rajesh(1*), V. Palanisamy(2)

(1) Anna University, Chennai, India
(2) Anna University, Chennai, India
(*) Corresponding author

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)


In wireless communication systems, the use of convolutional code with Viterbi algorithm and discrete wavelet transform to decreases SNR in order to increases system capacity. And recently, when referred to multi-standard designs reconfiguration mechanisms, flexibility and parameterization techniques are becoming an important subject. Therefore, this paper takes advantage of the Common Operator approach (parameterization) to introduce a mutual butterfly/ lattice structure for the DWT and Viterbi algorithms. The main advantage of presenting common operators is the regular architecture which contributes in multi-standard designs when carried out in this parameterization approach. Because of the regularity in architecture, the presented approach can analyze half the power consumption that of the sum of power consumed by individual architectures of DWT and Viterbi. Also, one another achievement of the system is the image quality metric in terms of root mean square error is obtained in the range 0.2188to 0.2941.
Copyright © 2013 Praise Worthy Prize - All rights reserved.


Common Operator; Parameterization; Discrete Wavelet Transform (DWT); Viterbi; Butterfly/Lattice

Full Text:



MalekNaoues, Laurent Alaus, Dominique Noguet, “A Common Operator for FFT and Viterbi algorithms,” Digital System Design: Architectures, Methods and Tools (DSD), 2010 13th Euro micro Conference on1-3 Sept. 2010, pp. 309 – 313.

F. Jondral, “Software Defined Radio: Enabling technologies”, Wiley 2002.

W. Tuttlebee, “Software Defined Radio – Baseband Technology for 3G Handsets and Basestations,” Communications Engineer vol. 2, no. 2, pp. 46-47.

L. Alaus, J. Palicot, C. Roland, Y. Louet, D. Noguet, “Promising Technique of Parameterization For Reconfigurable Radio, the Common Operators Technique: Fundamentals and Examples” Journal of Signal Processing Systems, Springer, 2009.

F. Jondral, “Parameter Controlled Software Defined Radio,” Software Defined Radio Technical Conference, San Diego, Nov 2002.

L. Alaus, D. Noguet, J. Palicot, “A Common Operator Bank to resolve scheduling issue on a SDR Terminal”. The 6th Advanced international conference on telecommunications, 2010.

J.Takala, K. Punkka, “Scalable FFT Processors and Pipelined Butterfly Units”, The Journal of VLSI Signal Processing, Springer Netherlands 2006

D. Noguet, G. Masera, V. Ramakrishnan, M.Belleville, D. Morche, G. Asheid, "Considering microelectronic trends in advanced wireless system design,” Advances in Electronics and Telecommunications Journal, April 2010.

S.T. Gul, C. Moy and J. Palicot, “Two scenarios of flexible Multi-standard architecture designs using a multi-granularity exploration”, the 18th Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, 2007.

L. Biard and D. Noguet, “An adaptable architecture for the Viterbi algorithm”, the 7th International Symposium on Wireless Personal Multimedia Communications, 2004.

C. Moy, J. Palicot, V. Rodriguez, D. Giri, “Optimal Determination of Common Operators for Multi-Standard Software-Defined Radio”, 4th Karlsruhe Workshop on Software Radios, March 2006.

Cooley, J. W. and Tukey, J. W, “An Algorithm for the Machine Calculation of Complex Fourier Series”, Math. Computat., 19, 297–301, 1965.

J. Mitola, “The software radio architecture,” IEEE Communications Magazine, 33, pp. 26-38, 1995.

KemihKarim, KimoucheMosbah, BenslamaMalek and BenslamaAchour, “Performance of Discrete Wavelet Transform with Convolutional Code in Chaotic DS-CDMA System for Microsatellite Communication,” Geoscience and Remote Sensing Symposium, 2004.IGARSS '04. Proceedings, 2004 IEEE International, Volume: 1.

Malek Naoues, Dominique Noguet, Yves Louët, Khaled Grati and Ghazel, A, “An Efficient Flixible Common Operator for FFT and Viterbi Algorithms,” Vehicular Technology Conference (VTCSpring), IEEE 73rd, May-2011, pp.1-5.

D.Vijendra Babu and Dr.N.R.Alamelu, “Implementation of Energy Efficient Integer Wavelet Transform in Spartan 3E FPGA,” International Journal of Computer Applications-2010, Vol-1, Issue-12.

Akhilesh Bijalwan, Aditya Goyal and Nidhi Sethi, “Wavelet Transform Based Image Denoise Using Threshold Approaches,” International Journal of Engineering and Advanced Technology (IJEAT), Vol-1, Issue-5, June 2012.

Malek Naoues, Dominique Noguet, Laurent Alaus and Yves Louët, “A Common Operator for FFT and FEC Decoding,” Microprocessors and Microsystems Journal (2011), 35, 8, 708-715.

Aloui, N., Talbi, M., Cherif, A., The optimized wavelet filters and real-time implementation of speech codec base on DWT n TMS320C64xx, (2013) International Review on Computers and Software (IRECOS), 8 (2), pp. 454-462.

Arioua, M., Belkouch, S., M'rabet Hassani, M., Efficient 64-point FFT/IFFT processor based on 8-point FFT module for OFDM based WLAN, (2012) International Review on Computers and Software (IRECOS), 7 (1), pp. 92-99.

Deevena Raju, B., Pandarinath, P., Prasad, G.S., An efficient image reconstruction technique with aid of PSO (Particle Swarm Optimization) and DWT (Discrete Wavelet Transform), (2013) International Review on Computers and Software (IRECOS), 8 (8), pp. 1871-1877.

Ghandi Manasra, Osama Najajri, Samer Rabah, Hashem Abu Arram, DWT Based on OFDM Multicarrier Modulation Using Multiple Input Output Antennas System, (2012) International Journal on Communications Antenna and Propagation (IRECAP), 2 (5), pp. 312-320.

Mattera, D., Tanda, M., Blind symbol timing and CFO estimation for OFDM/OQAM systems, (2013) IEEE Transactions on Wireless Communications, 12 (1), art. no. 6397549, pp. 268-277.


  • There are currently no refbacks.

Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2019 Praise Worthy Prize