### Abstract

Summary form only given. The superresolution estimation of bearings of wideband sources using fewer sensors than sources has been addressed. The fundamental limits on the maximum number, D_{max}, of wideband sources uniquely resolvable by a passive sensor array, called the resolution capacity of the array, has been studied. The source signals are assumed to be uncorrelated zero-mean, second-order stationary, and ergodic wideband random processes occupying a common bandwidth. The array is assumed to be uniform and linear, and L >> 1 Nyquist-rate samples of its output are assumed to be collected into a snapshot supervector. N >> 1 such snapshots are assumed to be available. It has been shown that if each of the source power spectral densities is specified by M unknown parameters, then a (not necessarily sharp) bound is given by D_{max} ≤ L(2K - 1)/(M + 1), where K is the number of sensors. Furthermore, if each of the source power spectral densities can be represented by a weighted sum of M linearly independent basis functions, a sharp upper bound on D can be obtained in terms of the rank of a certain matrix that depends on the specific basis functions chosen. For the specific case of M basis functions derived from linear combinations of polynomials or order less than M + 1, the bound D_{max} = KL/(2M), which is tight, has been obtained. These results suggest that in the case of uncorrelated wideband signals, the resolution capacity of a given array is essentially limited only by the observation interval, rather than by the number of sensors.

Original language | English (US) |
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Title of host publication | Sixth Multidimens Signal Process Workshop |

Editors | Anon |

Publisher | Publ by IEEE |

Pages | 128-129 |

Number of pages | 2 |

State | Published - 1989 |

Event | Sixth Multidimensional Signal Processing Workshop - Pacific Grove, CA, USA Duration: Sep 6 1989 → Sep 8 1989 |

### Other

Other | Sixth Multidimensional Signal Processing Workshop |
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City | Pacific Grove, CA, USA |

Period | 9/6/89 → 9/8/89 |

### ASJC Scopus subject areas

- Engineering(all)

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## Cite this

*Sixth Multidimens Signal Process Workshop*(pp. 128-129). Publ by IEEE.