Abstract
For the orthogonal frequency-division multiplexing (OFDM) system, one can estimate the channel responses (CRs) based on frequency-domain (FD) pilot symbols. On the other hand, one can also estimate the time-domain (TD) channel impulse response by inserting a unit pulse ahead of each OFDM block. However, there is no analytical comparison between the CR estimation based on FD pilot symbols and TD unit pulses. In this paper, we give the analytical comparison of the mean-squares errors (MSEs) for the CR estimation based on TD and FD pilot signals. For the CR estimation based on FD pilot symbols, the linear minimum mean-squares error (LMMSE) algorithm is optimal. We derive an MSE lower bound for the LMMSE algorithm among all possible distribution of pilot symbols. This MSE lower bound coincides with the MSE attained by the optimal CR estimation based on TD unit pulses. We also show that with the uniform distribution of pilot symbols, the resulted MSE is very close to the MSE lower bound for the LMMSE algorithm. Our results conclude that the optimal CR estimation based on TD and FD pilot signals attain almost the same MSEs.
| Original language | English |
|---|---|
| Title of host publication | 2012 International Symposium on Wireless Communication Systems, ISWCS 2012 - Proceedings |
| Pages | 959-963 |
| Number of pages | 5 |
| DOIs | |
| Publication status | Published - 2012 |
| Event | 2012 9th International Symposium on Wireless Communication Systems, ISWCS 2012 - Paris, France Duration: 2012 Aug 28 → 2012 Aug 31 |
Other
| Other | 2012 9th International Symposium on Wireless Communication Systems, ISWCS 2012 |
|---|---|
| Country | France |
| City | Paris |
| Period | 12-08-28 → 12-08-31 |
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All Science Journal Classification (ASJC) codes
- Computer Networks and Communications
- Electrical and Electronic Engineering
- Communication
Cite this
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Analytical comparison of mean-squares errors for channel response estimation based on frequency- and time-domain pilot signals. / Chang, Ming-Xian; Li, Chi Shuo; Wei, Chiung Wen; Lee, Chih Kuan.
2012 International Symposium on Wireless Communication Systems, ISWCS 2012 - Proceedings. 2012. p. 959-963 6328510.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Analytical comparison of mean-squares errors for channel response estimation based on frequency- and time-domain pilot signals
AU - Chang, Ming-Xian
AU - Li, Chi Shuo
AU - Wei, Chiung Wen
AU - Lee, Chih Kuan
PY - 2012
Y1 - 2012
N2 - For the orthogonal frequency-division multiplexing (OFDM) system, one can estimate the channel responses (CRs) based on frequency-domain (FD) pilot symbols. On the other hand, one can also estimate the time-domain (TD) channel impulse response by inserting a unit pulse ahead of each OFDM block. However, there is no analytical comparison between the CR estimation based on FD pilot symbols and TD unit pulses. In this paper, we give the analytical comparison of the mean-squares errors (MSEs) for the CR estimation based on TD and FD pilot signals. For the CR estimation based on FD pilot symbols, the linear minimum mean-squares error (LMMSE) algorithm is optimal. We derive an MSE lower bound for the LMMSE algorithm among all possible distribution of pilot symbols. This MSE lower bound coincides with the MSE attained by the optimal CR estimation based on TD unit pulses. We also show that with the uniform distribution of pilot symbols, the resulted MSE is very close to the MSE lower bound for the LMMSE algorithm. Our results conclude that the optimal CR estimation based on TD and FD pilot signals attain almost the same MSEs.
AB - For the orthogonal frequency-division multiplexing (OFDM) system, one can estimate the channel responses (CRs) based on frequency-domain (FD) pilot symbols. On the other hand, one can also estimate the time-domain (TD) channel impulse response by inserting a unit pulse ahead of each OFDM block. However, there is no analytical comparison between the CR estimation based on FD pilot symbols and TD unit pulses. In this paper, we give the analytical comparison of the mean-squares errors (MSEs) for the CR estimation based on TD and FD pilot signals. For the CR estimation based on FD pilot symbols, the linear minimum mean-squares error (LMMSE) algorithm is optimal. We derive an MSE lower bound for the LMMSE algorithm among all possible distribution of pilot symbols. This MSE lower bound coincides with the MSE attained by the optimal CR estimation based on TD unit pulses. We also show that with the uniform distribution of pilot symbols, the resulted MSE is very close to the MSE lower bound for the LMMSE algorithm. Our results conclude that the optimal CR estimation based on TD and FD pilot signals attain almost the same MSEs.
UR - http://www.scopus.com/inward/record.url?scp=84871344104&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84871344104&partnerID=8YFLogxK
U2 - 10.1109/ISWCS.2012.6328510
DO - 10.1109/ISWCS.2012.6328510
M3 - Conference contribution
AN - SCOPUS:84871344104
SN - 9781467307604
SP - 959
EP - 963
BT - 2012 International Symposium on Wireless Communication Systems, ISWCS 2012 - Proceedings
ER -