Non-Systematic Complex Number RS Coded OFDM by Unique Word Prefix
Mario Huemer, Christian Hofbauer, Johannes B. Huber

TL;DR
This paper introduces a non-systematic coding scheme for UW-OFDM that distributes redundancy across all subcarriers, improving spectral efficiency and BER performance over systematic UW-OFDM and traditional CP-OFDM.
Contribution
It proposes a non-systematic complex number RS coded UW-OFDM with optimized code matrices, enhancing spectral properties and error performance.
Findings
Non-systematic UW-OFDM outperforms systematic UW-OFDM in BER.
The non-systematic approach reduces mean symbol energy contribution from redundant subcarriers.
Simulations show superior spectral efficiency and robustness in AWGN and frequency selective channels.
Abstract
In this paper we expand our recently introduced concept of UW-OFDM (unique word orthogonal frequency division multiplexing). In UW-OFDM the cyclic prefixes (CPs) are replaced by deterministic sequences, the so-called unique words (UWs). The UWs are generated by appropriately loading a set of redundant subcarriers. By that a systematic complex number Reed Solomon (RS) code construction is introduced in a quite natural way, because an RS code may be defined as the set of vectors, for which a block of successive zeros occurs in the other domain w.r.t. a discrete Fourier transform. (For a fixed block different to zero, i.e., a UW, a coset code of an RS code is generated.) A remaining problem in the original systematic coded UW-OFDM concept is the fact that the redundant subcarrier symbols disproportionately contribute to the mean OFDM symbol energy. In this paper we introduce the concept of…
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