Abstract

This paper treats the digital design of a probabilistic energy equalizer for impulse radio (IR) UWB receiver in high data rate (100Mbps). The aim of this study is to bypass certain complex mathematical function as a chi-squared distribution and reduce the computational complexity of the equalizer for a low cost hardware implementation. As in Sub-MAP algorithm, the max* operation is investigated for complexity reduction and tested by computer simulation with fixed point data types under 802.15.3a channel models. The obtained re-sults prove that the complexity reduction involves a very slight algorithm deterioration and still meet the low-cost constraint of the implementation.

Highlights

  • Ultra-wideband impulse radio is considered as a promising candidate for indoor communications and wireless sensor networks, as described in [1]

  • The energy detection is simple to implement, transmitting impulses at high data rate leads to inter-symbol interference (ISI) which decreases the performance of the receiver [4,5,6]

  • We a have shown how a complex and costly probabilistic equalizer is simplified for digital design by using the logarithmic domain

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Summary

Introduction

Ultra-wideband impulse radio is considered as a promising candidate for indoor communications and wireless sensor networks, as described in [1]. The energy detection is simple to implement, transmitting impulses at high data rate leads to inter-symbol interference (ISI) which decreases the performance of the receiver [4,5,6]. Where h(t) is the impulse channel response, denotes the convolution product, p(t) is the pulse shape, Tslot is the time slot duration for an M-PPM modulation,i.e. Ts = MTslot , and An,k takes value in {0,1, , M 1} according to transmitted symbol. If the noncentrality parameter is equal to zero; i.e. Bn,m = 0 ; the received energy follows a central chi-squared distribution defined as n,m p( n , m. The energy distribution is studied in sections and simplified for hardware implementation

Energy Equalization Principle
Chi-Squared Distribution Approximation for Hardware Implementation
Performance of the Approximated Linear Equalizer
Chi-Squared Versus Gaussian Approximation Simulations in Double Precision
Fixed Point Precision Simulations
Complexity of the Linear Equalizer
Complexity Reduction of the Probabilistic Energy Equalizer
Fixed Point DataTypes Simulation in Logarithm Domain
Complexity of the Logarithmic Equalizer
Complexity Summary
Conclusion
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