### Abstract

Exact finite sum expressions for the probability density function (PDF) and cumulative distribution function (CDF) for the magnitude response of the SCB MVDR beamformer are derived. Exact expressions for the mean and variance of this beam pattern are given which generalize and extend the classical results of Ruze (1952) as well as those of Gilbert and Morgan (1955) to this MVDR processor. These tools allow the exact prediction of the likelihood of interference in a given direction obtaining a specified level of sidelobe or mainlobe suppression by the adaptive beamformer. Sample support and degrees of freedom can be chosen to meet specifications with a certain level of probability. These useful calculations are facilitated by judicious exploitation of Sehlafli's contour integral representation for the modified Bessel function.

Original language | English (US) |
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Title of host publication | Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000 |

Publisher | IEEE Computer Society |

Pages | 73-76 |

Number of pages | 4 |

ISBN (Electronic) | 0780363396 |

DOIs | |

State | Published - Jan 1 2000 |

Externally published | Yes |

Event | IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000 - Cambridge, United States Duration: Mar 16 2000 → Mar 17 2000 |

### Publication series

Name | Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop |
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Volume | 2000-January |

ISSN (Electronic) | 2151-870X |

### Other

Other | IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000 |
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Country | United States |

City | Cambridge |

Period | 3/16/00 → 3/17/00 |

### Keywords

- Adaptive arrays
- Adaptive filters
- Apertures
- Distribution functions
- Interference suppression
- Laboratories
- Least squares approximation
- Probability density function
- Signal to noise ratio
- Stochastic processes

### ASJC Scopus subject areas

- Signal Processing
- Control and Systems Engineering
- Electrical and Electronic Engineering

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## Cite this

*Proceedings of the 2000 IEEE Sensor Array and Multichannel Signal Processing Workshop, SAME 2000*(pp. 73-76). [877971] (Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop; Vol. 2000-January). IEEE Computer Society. https://doi.org/10.1109/SAM.2000.877971