Inductive Generation of Algorithms for Estimating Unknown Frequencies of Multi-Tone Signals

Kazuyoshi Kubo

doi:10.11499/sicep.2004.0_38_2

SICE Annual Conference 2004

DOI https://doi.org/10.11499/sicep.2004.0_38_2

Conference information

Host: The Society of Instrument and Control Engineers

Co-host: The IEEE Industrial Electronics Society, The IEEE Robotics and Automation Society, The IEEE Control Systems Society, The IEEE Systems, Man and Cybernetics Society, The Instrumentation, Systems, and Automation Society

Inductive Generation of Algorithms for Estimating Unknown Frequencies of Multi-Tone Signals

*Kazuyoshi Kubo

Author information

Keywords: Prony's method, frequency estimation, multi-tone signal

CONFERENCE PROCEEDINGS FREE ACCESS

Pages 38

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Abstract

New method of generating algebraic algorithms for estimating unknown frequencies of multi-tone signals is derived by mathematical induction. By using the method, the triple-tone algorithm is generated. Next, a handy generation method is introduced to generate the quadruplet-tone, and the higher-tone algorithms. The generated algorithms are verified, and shown to be identical with the ordinary algorithms.

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