EURASIP Journal on Applied Signal Processing 
Volume 2006 (2006), Article ID 47245, 15 pages
doi:10.1155/ASP/2006/47245

Optimal Training for Time-Selective Wireless Fading Channels Using Cutoff Rate

Saswat Misra,1,2 Ananthram Swami,1 and Lang Tong2

 1The Army Research Laboratory, Adelphi 20783, MD, USA
2Department of Electrical and Computer Engineering, Cornell University, Ithaca 14850, NY, USA
Received 1 June 2005; Revised 11 December 2005; Accepted 13 January 2006

Abstract

We consider the optimal allocation of resources—power and bandwidth—between training and data transmissions for single-user time-selective Rayleigh flat-fading channels under the cutoff rate criterion. The transmitter exploits statistical channel state information (CSI) in the form of the channel Doppler spectrum to embed pilot symbols into the transmission stream. At the receiver, instantaneous, though imperfect, CSI is acquired through minimum mean-square estimation of the channel based on some set of pilot observations. We compute the ergodic cutoff rate for this scenario. Assuming estimator-based interleaving and M-PSK inputs, we study two special cases in-depth. First, we derive the optimal resource allocation for the Gauss-Markov correlation model. Next, we validate and refine these insights by studying resource allocation for the Jakes model.