Optimal Detection and Signalling in Fast Fading Channels
Abstract
We characterize optimal detection and signaling in terms of signal-to-noise for a fast or frequency-selective channel when the autocorrelation function of the channel is known. Our result characterizes the optimization problem as an eigenvalue/eigenfunction problem with integral operators. For detection, the well-known matched filter and RAKE receivers are limiting cases of our results. In addition, we provide a closed-form expression for the probability density and the cumulative probability function of a quadratic form for zero mean complex gaussian vectors, which is used to evaluate the probability of error of quadratic receivers. Additionally, we provide a procedure that finds pairs of signals or filters for digital communication over a fading channel. With the land-mobile fading channel, the signal/filter pairs obtained with our procedure have a performance significantly better than that of the traditional flat-top pulse and a raised cosine pulse in a PPM pair in terms of the probability of error rate.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1998
- Accession Number
- ADA400851
Entities
People
- Chit Lo
- Todd K Moon
Organizations
- Utah State University