Digital Signal Processing for Wireless Communication using Matlab by E. S. Gopi

Author:E. S. Gopi
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(2.56)

Similarly is computed as follows:

(2.57)

Bayes Rule In this case, the sample space of the random variable Y is the set of all real values ranging from to . Bayes rule identifies regions R 1 and R 0 such that the total average Bayes cost is minimized (refer Sect. 2.1.1). From (2.1)–(2.2), the conditional Bayes costs are computed as follows:

(2.58)

(2.59)

The total average Bayes cost is computed as

(2.60)

Note that p is the prior probability of the transmitted signal 0, i.e. X = level 0. In (2.60 ), is positive and independent of the partition regions R 0 and R 1. Hence we would like to minimize the following function to obtain region R 1:

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.