Effects of additional independent noise in binary composite hypothesis-testing problems

Author

Bayram, Suat ; Gezici, Sinan

Author_Institution

Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey

fYear

2009

fDate

28-30 Sept. 2009

Firstpage

1

Lastpage

9

Abstract

Performance of some suboptimal detectors can be improved by adding independent noise to their observations. In this paper, the effects of adding independent noise to observations of a detector are investigated for binary composite hypothesis-testing problems in a generalized Neyman-Pearson framework. Sufficient conditions are derived to determine when performance of a detector can or cannot be improved via additional independent noise. Also, upper and lower limits are derived on the performance of a detector in the presence of additional noise, and statistical characterization of optimal additional noise is provided. In addition, two optimization techniques are proposed to calculate the optimal additional noise. Finally, simulation results are presented to investigate the theoretical results.

Keywords

noise; optimisation; signal detection; statistical analysis; binary composite hypothesis-testing problem; generalized Neyman-Pearson framework; independent noise effect; optimization techniques; statistical characterization; suboptimal detectors; Bayesian methods; Costs; Detectors; Digital communication; Image processing; Minimax techniques; Robots; Stochastic resonance; Sufficient conditions; Testing; Binary hypothesis-testing; Neyman-Pearson; composite hypothesis-testing; stochastic resonance;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and Communication Systems, 2009. ICSPCS 2009. 3rd International Conference on

Conference_Location

Omaha, NE

Print_ISBN

978-1-4244-4473-1

Electronic_ISBN

978-1-4244-4474-8

Type

conf

DOI

10.1109/ICSPCS.2009.5306435

Filename

5306435