Bit error rate performance of linear companding transforms for PAPR reduction in OFDM systems

Yasir Rahmatallah, Nidhal Bouaynaya, Seshadri Mohan

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    12 Scopus citations

    Abstract

    This paper provides an analytical framework to study the performance of linear companding techniques proposed in the OFDM literature, thus settling the numerous controversial claims that are based solely on simulation results. Linear companding transforms are widely employed to reduce the peak-to- average-power ratio (PAPR) in orthogonal frequency division multiplexing (OFDM) systems. Two main linear companding classes have been considered in the literature: linear symmetrical transform (LST) and linear asymmetrical transform (LAST). In the literature, the bit error rate (BER) performance superiority of the basic LAST (with one discontinuity point) over the LST is claimed based on computer simulations. Also, it has been claimed that a LAST with two discontinuity points outperforms the basic LAST with one discontinuity point. These claims are however not substantiated with analytical results. Our analysis shows that these claims are, in general, not always true. We derive a sufficient condition, in terms of the companding parameters, under which the BER performance of a general LAST with M-1 discontinuity points is superior to that of LST. The derived condition explains the contradictions between different reported results in the literature and validates some other reported simulation results. It also serves as a guideline in the process of choosing proper values for companding parameters to obtain a specific trade-off between PAPR reduction capability and BER performance. In particular, the derived sufficient condition shows that the BER performance for LAST depends on the slopes of the LAST rather than on the number of discontinuity points as has been indicated so far. Moreover, we derive conditions for the companding parameters in order to keep the average transmitted power unchanged after companding. Our theoretical derivations are supported by simulation results.

    Original languageEnglish (US)
    Title of host publication2011 IEEE Global Telecommunications Conference, GLOBECOM 2011
    DOIs
    StatePublished - Dec 1 2011
    Event54th Annual IEEE Global Telecommunications Conference: "Energizing Global Communications", GLOBECOM 2011 - Houston, TX, United States
    Duration: Dec 5 2011Dec 9 2011

    Publication series

    NameGLOBECOM - IEEE Global Telecommunications Conference

    Other

    Other54th Annual IEEE Global Telecommunications Conference: "Energizing Global Communications", GLOBECOM 2011
    CountryUnited States
    CityHouston, TX
    Period12/5/1112/9/11

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

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