### Abstract

The authors introduce a test for detecting the presence of a common signal on M noisy channels that generalizes a popular technique using the magnitude-squared coherence (MSC) estimate for detecting a common signal on two channels. The basis of this test is the generalized coherence estimate, a statistic involving the normalized M multiplied by M Gram matrix determinant, which reduces to the MSC estimate for M equals 2. The distribution of the generalized coherence estimate is derived under the assumptions of independent noise and no common signal on the M channels.

Original language | English (US) |
---|---|

Title of host publication | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |

Publisher | IEEE |

Pages | 2745-2748 |

Number of pages | 4 |

State | Published - 1988 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering
- Acoustics and Ultrasonics

### Cite this

*ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings*(pp. 2745-2748). IEEE.

**GENERALIZED COHERENCE.** / Gish, Herbert; Cochran, Douglas.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings.*IEEE, pp. 2745-2748.

}

TY - GEN

T1 - GENERALIZED COHERENCE.

AU - Gish, Herbert

AU - Cochran, Douglas

PY - 1988

Y1 - 1988

N2 - The authors introduce a test for detecting the presence of a common signal on M noisy channels that generalizes a popular technique using the magnitude-squared coherence (MSC) estimate for detecting a common signal on two channels. The basis of this test is the generalized coherence estimate, a statistic involving the normalized M multiplied by M Gram matrix determinant, which reduces to the MSC estimate for M equals 2. The distribution of the generalized coherence estimate is derived under the assumptions of independent noise and no common signal on the M channels.

AB - The authors introduce a test for detecting the presence of a common signal on M noisy channels that generalizes a popular technique using the magnitude-squared coherence (MSC) estimate for detecting a common signal on two channels. The basis of this test is the generalized coherence estimate, a statistic involving the normalized M multiplied by M Gram matrix determinant, which reduces to the MSC estimate for M equals 2. The distribution of the generalized coherence estimate is derived under the assumptions of independent noise and no common signal on the M channels.

UR - http://www.scopus.com/inward/record.url?scp=0023745572&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023745572&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0023745572

SP - 2745

EP - 2748

BT - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

PB - IEEE

ER -