Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels

Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels

Given the mutual information of finite-alphabet inputs cannot be calculated concisely and accurately over fading channels, this paper proposes a new method to calculate the mutual information. First, the applicability of the saddle point method is studied, and then the mutual information is estimate...

Full description

Bibliographic Details
Main Authors: Yuyu Liu, Jinbao Zhang, Dan Zhang
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Applied Sciences
Subjects:
mutual information
finite-alphabet inputs
doubly correlated MIMO Rayleigh fading channels
saddle point approximation
Online Access:https://www.mdpi.com/2076-3417/11/10/4700
id doaj-ec567e0e3d1a4e7085346f1ab3cc1791
record_format Article
spelling doaj-ec567e0e3d1a4e7085346f1ab3cc17912021-06-01T00:36:19ZengMDPI AGApplied Sciences2076-34172021-05-01114700470010.3390/app11104700Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading ChannelsYuyu Liu0Jinbao Zhang1Dan Zhang2Institute of Electromagnetic Compatibility, Beijing Jiaotong University, Beijing 100044, ChinaInstitute of Electromagnetic Compatibility, Beijing Jiaotong University, Beijing 100044, ChinaInstitute of Electromagnetic Compatibility, Beijing Jiaotong University, Beijing 100044, ChinaGiven the mutual information of finite-alphabet inputs cannot be calculated concisely and accurately over fading channels, this paper proposes a new method to calculate the mutual information. First, the applicability of the saddle point method is studied, and then the mutual information is estimated by the saddle point approximation method with known channel state information. Furthermore, we induce the expectation of mutual information over doubly correlated multiple-input multiple-output (MIMO) Rayleigh fading channels. The validity of the saddle point approximation method is verified by comparing the numerical results of the Monte Carlo method and the saddle point approximation method under different doubly correlated MIMO fading channel scenarios.https://www.mdpi.com/2076-3417/11/10/4700mutual informationfinite-alphabet inputsdoubly correlated MIMO Rayleigh fading channelssaddle point approximation
collection DOAJ
language English
format Article
sources DOAJ
author Yuyu Liu
Jinbao Zhang
Dan Zhang
spellingShingle Yuyu Liu
Jinbao Zhang
Dan Zhang
Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels
Applied Sciences
mutual information
finite-alphabet inputs
doubly correlated MIMO Rayleigh fading channels
saddle point approximation
author_facet Yuyu Liu
Jinbao Zhang
Dan Zhang
author_sort Yuyu Liu
title Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels
title_short Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels
title_full Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels
title_fullStr Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels
title_full_unstemmed Saddle Point Approximation of Mutual Information for Finite-Alphabet Inputs over Doubly Correlated MIMO Rayleigh Fading Channels
title_sort saddle point approximation of mutual information for finite-alphabet inputs over doubly correlated mimo rayleigh fading channels
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2021-05-01
description Given the mutual information of finite-alphabet inputs cannot be calculated concisely and accurately over fading channels, this paper proposes a new method to calculate the mutual information. First, the applicability of the saddle point method is studied, and then the mutual information is estimated by the saddle point approximation method with known channel state information. Furthermore, we induce the expectation of mutual information over doubly correlated multiple-input multiple-output (MIMO) Rayleigh fading channels. The validity of the saddle point approximation method is verified by comparing the numerical results of the Monte Carlo method and the saddle point approximation method under different doubly correlated MIMO fading channel scenarios.
topic mutual information
finite-alphabet inputs
doubly correlated MIMO Rayleigh fading channels
saddle point approximation
url https://www.mdpi.com/2076-3417/11/10/4700
work_keys_str_mv AT yuyuliu saddlepointapproximationofmutualinformationforfinitealphabetinputsoverdoublycorrelatedmimorayleighfadingchannels
AT jinbaozhang saddlepointapproximationofmutualinformationforfinitealphabetinputsoverdoublycorrelatedmimorayleighfadingchannels
AT danzhang saddlepointapproximationofmutualinformationforfinitealphabetinputsoverdoublycorrelatedmimorayleighfadingchannels
_version_ 1721414437148033024

Similar Items