Statistical aspects concerning signal coherence applied to randomly modulated periodic signals

Author

Felix, Leonardo B. ; De Sá, Antonio Mauricio F L Miranda ; Mendes, Eduardo M A M ; Moraes, Márcio F D

Author_Institution

Dept. de Engenharia Eletronica, Univ. Fed. de Minas Gerais, Belo Horizonte, Brazil

Volume

13

Issue

2

fYear

2006

Firstpage

104

Lastpage

107

Abstract

The signal coherence (SC) function was developed for detecting signals that exhibit an inherent nondeterminism in their genesis. To allow the use of this technique as an objective response detector, the necessary statistical apparatus is developed in this letter. It is shown that SC is, in fact, a deterministic transformation of the magnitude-squared coherence (MSC) function, whose sampling distribution has been recently derived, between a random signal and a deterministic signal. As a result, it is demonstrated that both SC and MSC exhibit virtually identical performances in the detection of randomly modulated signals.

Keywords

modulation; signal detection; signal sampling; statistical analysis; MSC function; SC function; deterministic signal; deterministic transformation; magnitude-squared coherence; objective response detector; random modulated periodic signal; sampling distribution; signal coherence; signal detection; statistical aspect; Amplitude estimation; Detectors; Frequency domain analysis; Information retrieval; Noise level; Sampling methods; Signal analysis; Signal detection; Signal processing; Statistical distributions; Magnitude-squared coherence (MSC); randomly modulated signals; signal coherence; signal detection;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2005.861596

Filename

1576791