### Abstract

An isotropic random field is expanded into its circular harmonics. Computation of its Radon transform is equivalent to computation of the n^{th}-order Abel transform of the n^{th} order circular harmonic. A state-space model is fitted to the Abel transform of each order and augmented with a state-space model describing the random field circular harmonic. The latter is derived using backward Markovianization of a two-point boundary value model. The tomographic problem of computing the inverse Radon transform is then solved by using a bank of Kalman filters to estimate each random field harmonic separately. Combining these gives the linear least-squares estimate of the random field. The authors also consider a simpler Wiener-process model of the circular harmonics.

Original language | English (US) |
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Title of host publication | Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing |

Editors | Anon |

Publisher | Publ by IEEE |

Pages | 2589-2592 |

Number of pages | 4 |

ISBN (Print) | 078030033 |

State | Published - Dec 1 1991 |

Event | Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 - Toronto, Ont, Can Duration: May 14 1991 → May 17 1991 |

### Publication series

Name | Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing |
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Volume | 4 |

ISSN (Print) | 0736-7791 |

### Other

Other | Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 |
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City | Toronto, Ont, Can |

Period | 5/14/91 → 5/17/91 |

### ASJC Scopus subject areas

- Software
- Signal Processing
- Electrical and Electronic Engineering

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## Cite this

*Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing*(pp. 2589-2592). (Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing; Vol. 4). Publ by IEEE.