TY - GEN
T1 - Lower bounds on parameter modulation-estimation under bandwidth constraints
AU - Weinberger, Nir
AU - Merhav, Neri
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/8/9
Y1 - 2017/8/9
N2 - The problem of modulating the value of a parameter onto a band-limited signal to be transmitted over a continuous-time, additive white Gaussian noise (AWGN) channel, and estimating this parameter at the receiver, is considered. The performance is measured by the mean power-α error (MPαE), which is defined as the worst-case αth order moment of the absolute estimation error. The optimal exponential decay rate of the MPαE as a function of the transmission time, is investigated. Two upper (converse) bounds on the MPαE exponent are derived, on the basis of known bounds for the AWGN channel of inputs with unlimited bandwidth. The bounds are computed for typical values of the error moment and the signal-to-noise ratio (SNR), and the SNR asymptotics of the different bounds are analyzed. The new bounds are compared to known converse and achievability bounds, which were derived from channel coding considerations.
AB - The problem of modulating the value of a parameter onto a band-limited signal to be transmitted over a continuous-time, additive white Gaussian noise (AWGN) channel, and estimating this parameter at the receiver, is considered. The performance is measured by the mean power-α error (MPαE), which is defined as the worst-case αth order moment of the absolute estimation error. The optimal exponential decay rate of the MPαE as a function of the transmission time, is investigated. Two upper (converse) bounds on the MPαE exponent are derived, on the basis of known bounds for the AWGN channel of inputs with unlimited bandwidth. The bounds are computed for typical values of the error moment and the signal-to-noise ratio (SNR), and the SNR asymptotics of the different bounds are analyzed. The new bounds are compared to known converse and achievability bounds, which were derived from channel coding considerations.
KW - Additive white Gaussian noise
KW - Bandwidth constraints
KW - Modulation
KW - Parameter estimation
UR - http://www.scopus.com/inward/record.url?scp=85034114068&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2017.8006898
DO - 10.1109/ISIT.2017.8006898
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AN - SCOPUS:85034114068
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2093
EP - 2097
BT - 2017 IEEE International Symposium on Information Theory, ISIT 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 IEEE International Symposium on Information Theory, ISIT 2017
Y2 - 25 June 2017 through 30 June 2017
ER -