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Discrete multitone modulation with principal component filter banks

Vaidyanathan, P. P. and Lin, Yuan-Pei and Akkarakaran, Sony and Phoong, See-May (2001) Discrete multitone modulation with principal component filter banks. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49 (10). pp. 1397-1412. ISSN 1057-7122. https://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcsI02

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Abstract

Discrete multitone (DMT) modulation is an attractive method for communication over a nonflat channel with possibly colored noise. The uniform discrete Fourier transform (DFT) filter bank and cosine modulated filter bank have in the past been used in this system because of low complexity. We show in this paper that principal component filter banks (PCFB) which are known to be optimal for data compression and denoising applications, are also optimal for a number of criteria in DMT modulation communication. For example, the PCFB of the effective channel noise power spectrum (noise psd weighted by the inverse of the channel gain) is optimal for DMT modulation in the sense of maximizing bit rate for fixed power and error probabilities. We also establish an optimality property of the PCFB when scalar prefilters and postfilters are used around the channel. The difference between the PCFB and a traditional filter bank such as the brickwall filter bank or DFT filter bank is significant for effective power spectra which depart considerably from monotonicity. The twisted pair channel with its bridged taps, next and fext noises, and AM interference, therefore appears to be a good candidate for the application of a PCFB. This is demonstrated with the help of numerical results for the case of the ADSL channel.


Item Type:Article
Additional Information:© Copyright 2002 IEEE. Reprinted with permission. Manuscript received December 11, 2001; revised April 3, 2002. [Posted online: 2002-12-10] This work was supported in part by the National Science Foundation under Grant MIP-0703755, in part by the Office of Naval Research under Grant N00014-99-1-1002, in part by Microsoft Research, Redmond,WA, and in part by the National Science Council (NSC), Taiwan, R.O.C., under Grant 89-2213-E-009-118 and Grant 89-2213-E-002-122. This paper was recommended by Associate Editor W.-S. Lu.
Subject Keywords:Channel capacity, digital subscriber loops (DSL), discrete multitone (DMT) modulation , frequency division multiplexing (FDM), principal component filter banks (PCFB)
Issue or Number:10
Record Number:CaltechAUTHORS:VAIieeetcsI02
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcsI02
Alternative URL:http://dx.doi.org/10.1109/TCSI.2002.803249
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8711
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:10 Sep 2007
Last Modified:02 Oct 2019 23:53

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