Sum-MSE Gain of DFT-Based Channel Estimator Over Frequency-Domain LS One in Full-Duplex OFDM Systems

Abstract

In this paper, we make an investigation on the sum-mean-square-error (Sum-MSE) performance gain in full-duplex orthogonal frequency-division multiplexing (OFDM) systems in the presence of colored interference-plus-noise (IPN). This gain is defined as the ratio of Sum-MSE of frequency-domain least-square (LS) channel estimator to that of DFT-based LS one. The closed-form formula of the gain is derived. And, its simple upper and lower bounds are given using inequalities of matrix eigenvalues. The exact value of Sum-MSE gain depends heavily on the correlation factor of the IPN covariance matrix. More importantly, we also find that the Sum-MSE performance gain grows from 1 to <formula><tex>$N/L$</tex></formula> as the correlation factor gradually decreases from 1 to 0, where <formula><tex>$N$</tex></formula> and <formula><tex>$L$</tex></formula> denote the number of total subcarrier and the length of cyclic prefix, respectively. Also, via theoretical analysis, the exact Sum-MSE gain degenerates into 1 and <formula><tex>$N/L$</tex></formula> in two extreme scenarios: fully-correlated and white, respectively. The former 1 means there is no performance gain, while the latter <formula><tex>$N/L$</tex></formula> corresponds to the maximum Sum-MSE performance gain achievable. Numerical simulation further validates the above results. Additionally, the derived lower bound is shown to be closer to the exact value of Sum-MSE gain compared to the upper bound.

Original language	English
Journal	IEEE Systems Journal
DOIs	https://doi.org/10.1109/JSYST.2018.2850934
Publication status	Accepted/In press - 12 Jul 2018

Keywords

Channel estimation
Covariance matrices
Frequency division multiplexing
Frequency-domain analysis
full duplex (FD)
least squares (LSs)
Linear matrix inequalities
OFDM
orthogonal frequency-division multiplexing (OFDM)
Performance gain
sum-MSE performance gain
upper/lower bound

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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@article{8a8b19e0140d4b7ead3c0527c234fb22,

title = "Sum-MSE Gain of DFT-Based Channel Estimator Over Frequency-Domain LS One in Full-Duplex OFDM Systems",

abstract = "In this paper, we make an investigation on the sum-mean-square-error (Sum-MSE) performance gain in full-duplex orthogonal frequency-division multiplexing (OFDM) systems in the presence of colored interference-plus-noise (IPN). This gain is defined as the ratio of Sum-MSE of frequency-domain least-square (LS) channel estimator to that of DFT-based LS one. The closed-form formula of the gain is derived. And, its simple upper and lower bounds are given using inequalities of matrix eigenvalues. The exact value of Sum-MSE gain depends heavily on the correlation factor of the IPN covariance matrix. More importantly, we also find that the Sum-MSE performance gain grows from 1 to $N/L$ as the correlation factor gradually decreases from 1 to 0, where $N$ and $L$ denote the number of total subcarrier and the length of cyclic prefix, respectively. Also, via theoretical analysis, the exact Sum-MSE gain degenerates into 1 and $N/L$ in two extreme scenarios: fully-correlated and white, respectively. The former 1 means there is no performance gain, while the latter $N/L$ corresponds to the maximum Sum-MSE performance gain achievable. Numerical simulation further validates the above results. Additionally, the derived lower bound is shown to be closer to the exact value of Sum-MSE gain compared to the upper bound.",

keywords = "Channel estimation, Covariance matrices, Frequency division multiplexing, Frequency-domain analysis, full duplex (FD), least squares (LSs), Linear matrix inequalities, OFDM, orthogonal frequency-division multiplexing (OFDM), Performance gain, sum-MSE performance gain, upper/lower bound",

author = "Jin Wang and Hai Yu and Feng Shu and Jinhui Lu and Riqing Chen and Jun Li and Jayakody, {Dushantha Nalin K.}",

year = "2018",

month = jul,

day = "12",

doi = "10.1109/JSYST.2018.2850934",

language = "English",

journal = "IEEE Systems Journal",

issn = "1932-8184",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Sum-MSE Gain of DFT-Based Channel Estimator Over Frequency-Domain LS One in Full-Duplex OFDM Systems

AU - Wang, Jin

AU - Yu, Hai

AU - Shu, Feng

AU - Lu, Jinhui

AU - Chen, Riqing

AU - Li, Jun

AU - Jayakody, Dushantha Nalin K.

PY - 2018/7/12

Y1 - 2018/7/12

N2 - In this paper, we make an investigation on the sum-mean-square-error (Sum-MSE) performance gain in full-duplex orthogonal frequency-division multiplexing (OFDM) systems in the presence of colored interference-plus-noise (IPN). This gain is defined as the ratio of Sum-MSE of frequency-domain least-square (LS) channel estimator to that of DFT-based LS one. The closed-form formula of the gain is derived. And, its simple upper and lower bounds are given using inequalities of matrix eigenvalues. The exact value of Sum-MSE gain depends heavily on the correlation factor of the IPN covariance matrix. More importantly, we also find that the Sum-MSE performance gain grows from 1 to $N/L$ as the correlation factor gradually decreases from 1 to 0, where $N$ and $L$ denote the number of total subcarrier and the length of cyclic prefix, respectively. Also, via theoretical analysis, the exact Sum-MSE gain degenerates into 1 and $N/L$ in two extreme scenarios: fully-correlated and white, respectively. The former 1 means there is no performance gain, while the latter $N/L$ corresponds to the maximum Sum-MSE performance gain achievable. Numerical simulation further validates the above results. Additionally, the derived lower bound is shown to be closer to the exact value of Sum-MSE gain compared to the upper bound.

AB - In this paper, we make an investigation on the sum-mean-square-error (Sum-MSE) performance gain in full-duplex orthogonal frequency-division multiplexing (OFDM) systems in the presence of colored interference-plus-noise (IPN). This gain is defined as the ratio of Sum-MSE of frequency-domain least-square (LS) channel estimator to that of DFT-based LS one. The closed-form formula of the gain is derived. And, its simple upper and lower bounds are given using inequalities of matrix eigenvalues. The exact value of Sum-MSE gain depends heavily on the correlation factor of the IPN covariance matrix. More importantly, we also find that the Sum-MSE performance gain grows from 1 to $N/L$ as the correlation factor gradually decreases from 1 to 0, where $N$ and $L$ denote the number of total subcarrier and the length of cyclic prefix, respectively. Also, via theoretical analysis, the exact Sum-MSE gain degenerates into 1 and $N/L$ in two extreme scenarios: fully-correlated and white, respectively. The former 1 means there is no performance gain, while the latter $N/L$ corresponds to the maximum Sum-MSE performance gain achievable. Numerical simulation further validates the above results. Additionally, the derived lower bound is shown to be closer to the exact value of Sum-MSE gain compared to the upper bound.

KW - Channel estimation

KW - Covariance matrices

KW - Frequency division multiplexing

KW - Frequency-domain analysis

KW - full duplex (FD)

KW - least squares (LSs)

KW - Linear matrix inequalities

KW - OFDM

KW - orthogonal frequency-division multiplexing (OFDM)

KW - Performance gain

KW - sum-MSE performance gain

KW - upper/lower bound

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DO - 10.1109/JSYST.2018.2850934

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JO - IEEE Systems Journal

JF - IEEE Systems Journal

SN - 1932-8184