4. Multiple Alternative Detection

  1. David Middleton

Published Online: 7 MAY 2012

DOI: 10.1002/9781118161968.ch4

Non-Gaussian Statistical Communication Theory

Non-Gaussian Statistical Communication Theory

How to Cite

Middleton, D. (2012) Multiple Alternative Detection, in Non-Gaussian Statistical Communication Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118161968.ch4

Publication History

  1. Published Online: 7 MAY 2012
  2. Published Print: 18 MAY 2012

ISBN Information

Print ISBN: 9780470948477

Online ISBN: 9781118161968



  • binary detection;
  • error probabilities;
  • system evaluation


This chapter analyses multiple-alternative situations consisting of an arbitrary number of disjoint hypothesis states, including the case of decision rejection. It then focuses on overlapping signal classes based on decision rejection of signals that are equivocal as to their presence. In order to evaluate the performance of the optimum decision systems, it is necessary to determine their Bayes risks, and for this in turn we need the error probabilities associated with the various possible decisions.

Controlled Vocabulary Terms

Bayes methods; error statistics; signal detection