Probability of error for differential continuous phase frequency
by
Robert Ware
PhD student, Department of Mathematics & Statistics, University of Canterbury

Differential Continuous Phase Frequency Shift Keying (DCPFSK) is used in the transmission of encoded digital information. A DCPFSK signal is transmitted. During transmission over the channel Gaussian noise isadded to the signal, so that the received signal is a combination of the DCPFSK signal and noise. The receiver uses a Viterbi decoder to minimisethe squared Euclidian distance between the transmitted signal and a hypothesised signal. We are interested in the probability that the error metric between the transmitted and hypothesised signals is less than zero.

To find the probability that the error metric is negative, a numericalintegration procedure is used. The numerically integrated results are compared to results obtained using a Monte Carlo method. The theory of convolutions is used to calculate the final probability.

Date received: August 23, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadt-35.