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Optimal Transmit Filters for ISI Channels under Channel Shortening Detection

Modenini, Andrea ; Rusek, Fredrik LU and Colavolpe, Giulio (2013) In IEEE Transactions on Communications 61(12). p.4997-5005
Abstract
We consider channels affected by intersymbol interference with reduced-complexity, mutual information optimized, channel-shortening detection. For such settings, we optimize the transmit filter, taking into consideration the reduced receiver complexity constraint. As figure of merit, we consider the achievable information rate of the entire system and with functional analysis, we establish a general form of the optimal transmit filter, which can then be optimized by standard numerical methods. As a corollary to our main result, we obtain some insight of the behavior of the standard waterfilling algorithm for intersymbol interference channels. With only some minor changes, the general form we derive can be applied to multiple-input... (More)
We consider channels affected by intersymbol interference with reduced-complexity, mutual information optimized, channel-shortening detection. For such settings, we optimize the transmit filter, taking into consideration the reduced receiver complexity constraint. As figure of merit, we consider the achievable information rate of the entire system and with functional analysis, we establish a general form of the optimal transmit filter, which can then be optimized by standard numerical methods. As a corollary to our main result, we obtain some insight of the behavior of the standard waterfilling algorithm for intersymbol interference channels. With only some minor changes, the general form we derive can be applied to multiple-input multiple-output channels with intersymbol interference. To illuminate the practical use of our results, we provide applications of our theoretical results by deriving the optimal shaping pulse of a linear modulation transmitted over a bandlimited additive white Gaussian noise channel which has possible applications in the faster-than-Nyquist/time packing technique. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
ISI channels, channel shortening, waterfilling algorithms, reduced, complexity detection, mismatched receivers, MIMO-ISI, faster-than-Nyquist, time packing
in
IEEE Transactions on Communications
volume
61
issue
12
pages
4997 - 5005
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • wos:000330225000018
  • scopus:84891606809
ISSN
0090-6778
DOI
10.1109/TCOMM.2013.110813.130385
language
English
LU publication?
yes
id
a9f50518-4738-48bc-b828-d41f9e4bae3b (old id 4318720)
date added to LUP
2016-04-01 14:24:05
date last changed
2022-02-04 20:42:11
@article{a9f50518-4738-48bc-b828-d41f9e4bae3b,
  abstract     = {{We consider channels affected by intersymbol interference with reduced-complexity, mutual information optimized, channel-shortening detection. For such settings, we optimize the transmit filter, taking into consideration the reduced receiver complexity constraint. As figure of merit, we consider the achievable information rate of the entire system and with functional analysis, we establish a general form of the optimal transmit filter, which can then be optimized by standard numerical methods. As a corollary to our main result, we obtain some insight of the behavior of the standard waterfilling algorithm for intersymbol interference channels. With only some minor changes, the general form we derive can be applied to multiple-input multiple-output channels with intersymbol interference. To illuminate the practical use of our results, we provide applications of our theoretical results by deriving the optimal shaping pulse of a linear modulation transmitted over a bandlimited additive white Gaussian noise channel which has possible applications in the faster-than-Nyquist/time packing technique.}},
  author       = {{Modenini, Andrea and Rusek, Fredrik and Colavolpe, Giulio}},
  issn         = {{0090-6778}},
  keywords     = {{ISI channels; channel shortening; waterfilling algorithms; reduced; complexity detection; mismatched receivers; MIMO-ISI; faster-than-Nyquist; time packing}},
  language     = {{eng}},
  number       = {{12}},
  pages        = {{4997--5005}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Communications}},
  title        = {{Optimal Transmit Filters for ISI Channels under Channel Shortening Detection}},
  url          = {{http://dx.doi.org/10.1109/TCOMM.2013.110813.130385}},
  doi          = {{10.1109/TCOMM.2013.110813.130385}},
  volume       = {{61}},
  year         = {{2013}},
}