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Time-domain equalisation for discrete multi-tone transceivers: new results and performance analysis

Time-domain equalisation for discrete multi-tone transceivers: new results and performance analysis

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© The Institution of Engineering and Technology
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The time-domain equaliser (TEQ) is a commonly used device to shorten the channel impulse response in a discrete multitone (DMT) receiver. Many methods have been proposed to design the TEQ with a capacity maximisation criterion. An implicit assumption used by existing methods is that circular convolution can be conducted for the noise signal and the TEQ. This assumption is not valid because the noise vector, observed in a DMT symbol, does not have a cyclic prefix. A similar assumption is also made for the residual inter-symbol interference (ISI) signal. Because of these invalid assumptions, the TEQ-filtered noise and residual ISI powers in each subcarrier were not properly evaluated. As a result, optimum solutions derived are not actually optimal. This paper attempts to resolve this problem. We first analyse the statistical properties of the TEQ-filtered noise signal and the residual ISI signal in detail, and derive precise formulae for the calculation of the TEQ-filtered noise and residual ISI powers. Then, we re-formulate the capacity maximisation criterion to design the true optimum TEQ. Simulations show that the proposed method outperforms the existing ones, and its performance closely approaches the theoretical upper bound.

Inspec keywords: optimisation; equalisers; intersymbol interference; statistical analysis; transceivers

Other keywords: noise vector; capacity maximisation criterion; circular convolution; statistical properties; discrete multitone transceivers; channel impulse response; residual intersymbol interference signal; TEQ-filtered noise signal; discrete multitone receiver; time-domain equalisation

Subjects: Other topics in statistics; Electromagnetic compatibility and interference; Communication channel equalisation and identification; Radio links and equipment; Optimisation techniques

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