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Abstract
We present a bit rate maximising per-tone equalisation (BM-PTEQ) cost function that is based on an exact subchannel SNR as a function of per-tone equaliser in discrete multitone (DMT) systems. We then introduce the proposed BM-PTEQ criterion whose derivation for solution is shown to inherit from the methodology of the existing bit rate maximising time-domain equalisation (BM-TEQ). By solving a nonlinear BM-PTEQ cost function, an adaptive BM-PTEQ approach based on a recursive Levenberg-Marquardt (RLM) algorithm is presented with the adaptive inverse square-root (iQR) algorithm for DMT-based systems. Simulation results confirm that the performance of the proposed adaptive iQR RLM-based BM-PTEQ converges close to the performance of the proposed BM-PTEQ. Moreover, the performance of both these proposed BM-PTEQ algorithms is improved as compared with the BM-TEQ.
Highlights
Discrete multitone (DMT) is a digital implementation technique widely used for high speed wired multicarrier transmission such as asymmetric digital subscriber lines (ADSLs) [1]
We present the bit rate maximising per-tone equalisation (BM-pertone equalisers (PTEQs)) design with the nonlinear bit rate maximising cost function
The proposed BM-PTEQ cost function is derived from the exact subchannel signalto-noise ratio (SNR) model at the frequency-domain equaliser (FEQ) outputs
Summary
Discrete multitone (DMT) is a digital implementation technique widely used for high speed wired multicarrier transmission such as asymmetric digital subscriber lines (ADSLs) [1]. The cyclic prefix (CP) is inserted among DMT-symbols to arrange subchannels separately in order to eliminate intercarrier interference (ICI) and intersymbol interference (ISI). Conventional equalisation of DMTbased system consists of an adaptive (real) time-domain equaliser (TEQ) which shortens the convolutional result of TEQ and channel impulse response (CIR). That ISI can be effectively handled by CP, and ICI can be mitigated. A (complex) one-tap frequency-domain equaliser (FEQ) is applied subsequently to compensate for amplitude and phase of distortion [1, 2]. TEQs are not designed to achieve the maximum bit rate performance [3]. The so-called per-tone equalisation which is a frequency-domain equalisation scheme for each tone has been introduced in [4]. It is shown to give comparable bit rate maximising characteristics with existing equalisation schemes
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