Abstract

Orthogonal frequency division multiplexing (OFDM) is a robust and reliable multicarrier modulation scheme that has proven to be adequate for broadband communications. It is widely used in broadcasting and broadband wireless and wireline systems. However, in scenarios where the communication devices are power-limited, such as mobile and satellite communications, OFDM has not been massively used or even not used at all. For instance, OFDM is used only in downlink of 4G networks, while the uplink uses single carrier frequency division multiplexing. One of the main culprits of this is the high peak to average power ratio (PAPR) of the OFDM signal. Reducing the PAPR of the OFDM signals is important for a large variety of application. Several PAPR reduction techniques for OFDM have been proposed recently.The aim of this paper is to present a tutorial about a set of algorithms based on Walsh-Hadamard transform (WHT) for reducing the PAPR of the OFDM symbols. We also propose a new technique, named selective mapping based on WHT without extended information (SLM-WHT-WEI), which does not convey the explicit information to the receiver. We will show that the approaches based on WHT can also improve the OFDM symbol error rate performance over frequency-selective channels. Different schemes based on the properties of the WHT are presented and compared, assuming linear and non-linear channels. The PAPR reduction performance analysis shows that the PAPR can be effectively reduced while good performance in terms of symbol error rate can be achieved even in severely constrained channel conditions.

Highlights

  • O RTHOGONAL Frequency Division Multiplexing (OFDM) [1] is used in many telecommunication standards

  • High values of U increases the probability of finding a Selective Mapping (SLM)-Walsh-Hadamard transform (WHT)-OFDM symbol with low peak to average power ratio (PAPR), but it increases the transmitter complexity and the amount of explicit information to be transmitted as overhead

  • SLM-WHT-Without Explicit Information (WEI) keeps the same performance in terms of Symbol Error Rate (SER) under non-linear channels as SLM-WHT-OFDM, but it eliminates the need for transmission of the side information, increasing the overall system spectrum efficiency

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Summary

INTRODUCTION

O RTHOGONAL Frequency Division Multiplexing (OFDM) [1] is used in many telecommunication standards. Besides reducing the PAPR, WHTOFDM can improve the SER performance of OFDM systems over linear frequency-selective channels [34]. The main objective of this paper is to exploit the principles and characteristics of these three above-mentioned WHT-based techniques and extend the scheme in [45] in order to remove the need to inform which WHT matrix has been used by the transmitter to the receiver. The SER performance of each presented technique is compared with conventional OFDM and WHT-OFDM systems, taking into account a non-linear frequency-selective channel.

SIGNAL MODEL
30 Ideal amplifier Non-linear amplifier
WHT-OFDM
PAPR of the WHT-OFDM signal
WHT-OFDM SER over linear channels
SER performance of WHT-OFDM over non-linear channels
PAPR of the SLM-WHT-OFDM signal
SER performance of the SLM-WHT-OFDM under nonlinear channels
SLM-WHT-OFDM SER performance under linear channels
SLM-WHT-OFDM without explicit information
DWHT-OFDM
The Double WHT-OFDM system
DWHT-OFDM SER performance under non-linear channels
SLM-DWHT-OFDM PAPR analysis
SLM-DWHT-OFDM
SLM-DWHT-OFDM principles
SLM-DWHT-OFDM SER performance under linear channels
FINAL COMPARISONS
Findings
VIII. CONCLUSIONS
Full Text
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