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 | |
| Publication status | Accepted/In press - 12 Jul 2018 |
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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
Cite this
Sum-MSE Gain of DFT-Based Channel Estimator Over Frequency-Domain LS One in Full-Duplex OFDM Systems. / Wang, Jin; Yu, Hai; Shu, Feng; Lu, Jinhui; Chen, Riqing; Li, Jun; Jayakody, Dushantha Nalin K.
In: IEEE Systems Journal, 12.07.2018.Research output: Contribution to journal › Article
}
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
UR - http://www.scopus.com/inward/record.url?scp=85050004668&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85050004668&partnerID=8YFLogxK
U2 - 10.1109/JSYST.2018.2850934
DO - 10.1109/JSYST.2018.2850934
M3 - Article
JO - IEEE Systems Journal
JF - IEEE Systems Journal
SN - 1932-8184
ER -