BER Performance Investigation of WPM with Unknown CSI Using Time-Domain MMSE Equalization

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Sarbagya Buddhacharya
Poompat Saengudomlert
Karel Sterckx


Wavelet Packet Modulation (WPM) is an emerging Multi-Carrier Modulation (MCM) technique regarded as a potential alternative to widely used Orthogonal Frequency Division multiplexing (OFDM). OFDM uses Cyclic Prex (CP) and can rely on one-tap equalization. Since WPM has overlapping symbols in the time domain, equalization cannot depend on the use of CP. This paper considers time-domain Minimum Mean-Square Error (MMSE) equalization for WPM with unknown Channel State Information (CSI), where equalizer filter coefficients are computed using known training sequences. The infuence of the transmission overhead due to training sequences on the Bit Error Rate (BER) performance is investigated considering quasistatic time-varying Rayleigh fading channels. Numerical results from computer simulations show that, with moderate overhead due to training sequences, BER performances are comparable with the case of known CSI. Furthermore, WPM is compared to OFDM with one-tap equalization, and is shown to provide better BER performances as compared to OFDM. Finally, this paper demonstrates improvement in Peak-to-Average Power Ratio (PAPR) of the transmitted signal using subcarrier combining for WPM in heterogeneous communication environments, where low-rate and high-rate devices share the same transmission resources.


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Buddhacharya, S., Saengudomlert, P., & Sterckx, K. (2019). BER Performance Investigation of WPM with Unknown CSI Using Time-Domain MMSE Equalization. ECTI Transactions on Electrical Engineering, Electronics, and Communications, 17(2), 120-129.
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Author Biographies

Sarbagya Buddhacharya, Bangkok University-Center of Research in Optoelectronics, Communications, and Computational Systems (BU-CROCCS)

Sarbagya Buddhacharya received his Bachelor Degree in Electronics & Communication Engineering from Pokhara Engineering College, affiliated to Pokhara University, Nepal, in 2006. He received his Master degree in Telecommunication Engineering from Asian Institute of Technology, Thailand in 2010. He is currently doing his Doctor of Engineering in Electrical and Computer Engineering in Bangkok University, Thailand since 2015. His research interest includes Communication theory, Multi-carrier modulation, and signal processing.

Poompat Saengudomlert, Bangkok University-Center of Research in Optoelectronics, Communications, and Computational Systems (BU-CROCCS)

Poompat Saengudomlert received the scholarship from His Majesty the King of Thailand to obtain the B.S.E. degree in Electrical Engineering from Princeton University, USA, in 1996.  He then obtained the S.M. and Ph.D. degrees, both in Electrical Engineering and Computer Science, from Massachusetts Institute of Technology (MIT), USA, in 1998 and 2002 respectively.  From January 2005 to April 2013, he served as an Assistant and then Associate Professor in Telecommunications at Asian Institute of Technology (AIT), Thailand.  Since May 2013, he has been serving as an Associate Professor in Telecommunication Engineering at BU-CROCCS (Bangkok University-Center of Research in Optoelectronics, Communications, and Computational Systems), Thailand.  His research interest includes communication theory, optical communications, and software defined communications.

Karel Sterckx, Bangkok University-Center of Research in Optoelectronics, Communications, and Computational Systems (BU-CROCCS)

Dr. Karel Sterckx, a Belgian national, received a Master of Applied Engineering in Electrical and Electronic Engineering from a college that is currently part of Catholic University Leuven (Belgium) in 1986. In 1997, he obtained a Master of Science in Optoelectronics and Communications Systems from Northumbria University (UK) and, in 2000, a PhD from Swansea University (UK) for work on infrared wireless communication links. He has experience as a practicing engineer in the Belgian audio-visual industry, and has been lecturing at colleges and universities in Thailand since 1993. He has been a resident of Thailand for 20 years and joined Bangkok University in 2010 as Research Scholar. Since 2012, he is the director of the Bangkok University Center of Research in Optoelectronics, Communications and Computational Systems (BU-CROCCS). His research efforts concentrate on broadband indoor Optical Wireless Communication and Software Defined Communication Systems.


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