Abstract

We consider differential-pulse position modulation (DPPM) in an ultra wideband (UWB) communication system. A typical format for a DPPM signal in a UWB system is derived from that of a pulse position modulation (PPM) signal. The error probabilities of a UWB DPPM system with receive diversity over additive white Gaussian noise (AWGN) and Nakagami fading channels are derived. Both single-user and multiuser environments are considered. Performance results are presented which show that the frame error rate (FER) with DPPM is better than that with PPM, and the FER performance can be improved significantly by receive diversity.

Highlights

  • pulse position modulation (PPM) has been used extensively in optical communication systems and is the modulation employed in the IEEE 802.11 infrared physical layer standard [1]

  • It was shown that the packet error rate (PER) of differential-pulse position modulation (DPPM) for a given average received irradiance was superior to that with on-off keying (OOK), but PPM was better than DPPM

  • This paper examines DPPM for use in ultra wideband (UWB) systems

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Summary

Introduction

PPM has been used extensively in optical communication systems and is the modulation employed in the IEEE 802.11 infrared physical layer standard [1]. DPPM provides a higher transmission capacity by deleting redundant slots in a symbol It does not require symbol synchronization since each symbol ends with a “1” pulse. DPPM was shown in [7] to require significantly less average power than PPM. This paper examines DPPM for use in UWB systems. The typical format of a DPPM signal in a UWB system is derived, and the error probabilities over AWGN and Nakagami fading channels are derived. Both single-user and multiuser environments are considered.

Signal Construction and System Model over Nakagami Fading Channels
Error Probability Analysis of a Single-User DPPM System
Error Probability of M-ary DPPM over Nakagami Fading Channels
Error Probability Analysis of a Multiuser DPPM System
Multiple Access Error Probability over AWGN Channels
Numerical Results
Conclusions
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