A Note on the Rate of Decay of Mean-Squared Error With SNR for the AWGN Channel

abstract

• The problem of transmitting a Gaussian source over an additive white Gaussian noise (AWGN) channel when the channel signal-to-noise ratio (SNR) is unknown at the transmitter and is known at the receiver is considered. The performance metric used is distortion SNR exponent which is defined as the rate of decay of mean-squared error (MSE) distortion with SNR. The optimal exponent is shown to be equal to the ratio of the number of channel uses to number of source samples. A superposition-based scheme is proposed that can achieve an exponent arbitrarily close to the optimal value. 2009 IEEE.

authors

• Narayanan, Krishna

published proceedings

• IEEE TRANSACTIONS ON INFORMATION THEORY

author list (cited authors)

• Bhattad, K., & Narayanan, K. R.

citation count

• 4

complete list of authors

• Bhattad, Kapil||Narayanan, Krishna R

publication date

• January 2010

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE TRANSACTIONS ON INFORMATION THEORY  Journal

keywords

• Additive White Gaussian Noise (awgn) Channel
• Mean-squared Error (mse)
• Rate Of Decay

Digital Object Identifier (DOI)

• 10.1109/TIT.2009.2034778

start page

• 332

end page

• 335

volume

• 56

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Ftit.2009.2034778