| Presentation | 2003/11/13 ULA Factorization Theorem Hiroaki MIYASHITA, Shigeru MAKINO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this paper, an algebraic theorem called ULA Factorization Theorem has been proved for Uniform Linear Array (ULA) with co-phase excitations. It ultimately governs the arrays of arrays principle of equi-spaced ULA in that all possible topologies of feeding networks with equal amplitude and co-phase dividers are determined by multiplication order of geometric series in the factorization formula in accordance with prime factorization of the number of array elements. Further physical insight yields corollary of the theorem called Feed Network Factorization Theorem, where an isomorphism is found between the factorization formulas and certain analogue of trees in the discrete mathematics. Applications to simple ULA geometries and related miscellaneous mathematical considerations are described. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Uniform Linear Array Antennas / Co-Phase Excitation / Array Factors / Factorization Theorems / Feed Network / Discrete Mathematics / Trees |
| Paper # | A・P2003-168,RCS2003-174 |
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| Conference Information | |
| Committee | RCS |
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| Conference Date | 2003/11/13(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Radio Communication Systems (RCS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | ULA Factorization Theorem |
| Sub Title (in English) | |
| Keyword(1) | Uniform Linear Array Antennas |
| Keyword(2) | Co-Phase Excitation |
| Keyword(3) | Array Factors |
| Keyword(4) | Factorization Theorems |
| Keyword(5) | Feed Network |
| Keyword(6) | Discrete Mathematics |
| Keyword(7) | Trees |
| 1st Author's Name | Hiroaki MIYASHITA |
| 1st Author's Affiliation | Antennas Technology Department, Mitsubishi Electric Corporation() |
| 2nd Author's Name | Shigeru MAKINO |
| 2nd Author's Affiliation | Antennas Technology Department, Mitsubishi Electric Corporation |
| Date | 2003/11/13 |
| Paper # | A・P2003-168,RCS2003-174 |
| Volume (vol) | vol.103 |
| Number (no) | 459 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |