Abstract—Discrete multitone (DMT) modulation is an attractive method for communication over a nonflat channel with possibly colored noise. The uniform discrete Fourier transforn (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 will be demonstrated with the help of numerical results for the case of the ADSL channel. Index Terms—Channel capacity, digital subscriber loops (DSL), discrete multitone (DMT) modulation, frequency division multiplexing (FDM), principal component filter banks (PCFB). I.
|
4833
|
Elements of Information Theory
– Cover, Thomas
- 1991
|
|
645
|
Digital Communications
– Proakis
- 1995
|
|
568
|
Multirate Systems and Filter Banks
– Vaidyanathan
- 1993
|
|
359
|
Wavelets and Subband Coding
– Vetterli, Kovacevic
- 1995
|
|
301
|
Multicarrier modulation for data transmission: an idea whose time has come
– Bingham
- 1990
|
|
252
|
Digital Coding of Waveforms
– Jayant, Noll
- 1984
|
|
90
|
Redundant filterbank precoders and equalizers part i: Unification and optimal designs
– Scaglione, Giannakis, et al.
- 1999
|
|
89
|
The multitone channel
– Kalet
- 1989
|
|
39
|
The HDSL Environment
– Werner
- 1991
|
|
35
|
Principal Component Filter Banks for Optimal Multiresolution Analysis
– Tsatsanis, Giannakis
- 1995
|
|
31
|
Giannakis, “Filterbank transceivers optimizing information rate in block transmissions over dispersive channels
– Scaglione, Barbarossa, et al.
- 1999
|
|
31
|
Understanding Digital Subscriber Line Technology
– Starr, Cioffi, et al.
- 1999
|
|
30
|
On the optimality of ideal filters for pyramid and wavelet signal approximation
– Unser
- 1993
|
|
26
|
Modern Digital and Analog Communication Systems
– Lathi
- 1998
|
|
25
|
Theory of Optimal Orthonormal Subband Coders
– Vaidyanathan
- 1998
|
|
23
|
Orthogonal transmultiplexers in communications: a review
– Akansu, Duhamel, et al.
- 1998
|
|
20
|
New precoding for intersymbol interference cancellation using nonmaximally decimated multirate filterbanks with ideal FIR equalizers
– Xia
- 1997
|
|
18
|
Near-end crosstalk is almost gaussian
– Kerpez
- 1993
|
|
17
|
Block transmission over dispersive channels: Transmit filter optimization and realization, and MMSE-DFE receiver performance
– Al-Dhahir, Cioffi
- 1996
|
|
17
|
A new look at signal-adapted QMF bank design
– Moulin
- 1995
|
|
16
|
Filterbanks for blind channel identification and equalization
– Giannakis
- 1997
|
|
15
|
An extension of the KLT for wavelets and perfect reconstruction filter banks
– Unser
- 1993
|
|
14
|
Filter bank modulation techniques for very high speed digital subscriber lines
– Cherubini, Eleftheriou, et al.
- 2000
|
|
13
|
FIR principal component filter banks
– Xuan, Bamberger
- 1998
|
|
12
|
Perfect discrete multitone modulation with optimal transceivers
– Lin, Phoong
- 2000
|
|
10
|
A New Method of Channel Shortening with Applications to Discrete Multi Tone (DMT) systems
– Pal, Iyengar, et al.
- 1998
|
|
8
|
On optimal analysis/synthesis filters for coding gain optimization
– Djokovic, Vaidyanathan
- 1996
|
|
8
|
A review of the theory and applications of optimal subband and transform coders
– Vaidyanathan, Akkarakaran
- 2001
|
|
7
|
A discrete multitone transreceiver system for HDSL applications
– Chow, Tu, et al.
- 1991
|
|
7
|
On the capacity of a twisted-wire pair: Gaussian model
– Kalet, Shamai
- 1990
|
|
7
|
Comparison of DFT and cosine modulated filter banks in multicarrier modulation
– Rizos, Proakis, et al.
- 1994
|
|
6
|
The role of principal component filter banks in noise reduction
– Akkarakaran, Vaidyanathan
- 1999
|
|
6
|
A distortion analysis and optimal design of orthonormal basis for DMT receivers
– Lin, Akansu
- 1996
|
|
6
|
Optimalilty of principal component filter banks for discrete multitone communication systems
– Vaidyanathan, Lin, et al.
- 2000
|
|
5
|
On optimization of filter banks with denoising applications
– Akkarakaran, Vaidyanathan
- 1999
|
|
5
|
Multitone modulation”, in Subband and wavelet transforms, edited by Akansu
– Kalet
- 1996
|
|
5
|
of optimal orthonormal subband coders
– “Theory
- 1998
|
|
4
|
bank optimization with convex objectives, and the optimality of principal component forms
– Akkarakaran, Vaidyanathan
- 2001
|
|
4
|
Theory of rate-distortion optimal, constrained filter banks — applications to IIR and FIR biorthogonal designs
– Moulin, Anitescu, et al.
- 2000
|
|
3
|
filter bank precoders and equalizers—Part II: Synchronization and direct equalization
– “Redundant
- 1999
|
|
3
|
de Wiel, “Fractionally spaced linear and decision-feedback detectors for transmultiplexers
– Vandendorpe, Cuvelier, et al.
- 1998
|
|
2
|
Results on principal component filter banks: Colored noise suppression and existence issues
– Akkarakaran, Vaidyanathan
- 2001
|
|
2
|
Discrete multitone communication with principal component filter banks
– Akkarakaran, Vaidyanathan
- 2001
|
|
2
|
Filterbank precoders for blind equalization: polynomial ambiguity resistant precoders (PARP
– Xia
- 2001
|
|
2
|
Orthogonal Transmultiplexers in Communication: A Review
– Courville
- 1998
|
|
2
|
bank optimization with convex objectives, and the optimality of principal component forms
– \Filter
- 2001
|
|
2
|
on principal component filter banks: Colored noise suppression and existence issues
– “Results
|
|
1
|
On the duality of optimal DMT systems and biorthogonal subband coders
– Lin, Vaidyanathan, et al.
- 2000
|
|
1
|
Optimizing the capacity of orthogonal and
– Vaidyanathan, Lin, et al.
- 2000
|
|
1
|
Fractionally spaced linear and decision feedback detectors for transmultiplexers
– Vandendorpe, Cuvelier, et al.
- 1998
|
