A Cyclic Algorithm for Synthesizing Adaptive Frequency Modulated Waveforms

This paper introduces a modified version of the family of cyclic algorithms for the computationally efficient synthesis of Multi-Tone Sinusoidal Frequency Modulated (MTSFM) waveforms with desirable correlation properties. The Cyclic Algorithm New (CAN) is a structured phase retrieval algorithm that...

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Bibliographic Details
Main Author: Hague, David A.
Format: Conference Proceeding
Language:English
Subjects:
Computational modeling
Computers
Correlation
Frequency modulation
Frequency synthesizers
Multi-Tone Sinusoidal Frequency Modulation
Shape
Spectral shape
Structured Phase-Retrieval
Waveform Design
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Summary:This paper introduces a modified version of the family of cyclic algorithms for the computationally efficient synthesis of Multi-Tone Sinusoidal Frequency Modulated (MTSFM) waveforms with desirable correlation properties. The Cyclic Algorithm New (CAN) is a structured phase retrieval algorithm that synthesizes discrete-time sequences possessing desirably low auto-correlation sidelobes. These sequences are often utilized as the discrete set of phases in a Phase-Coded (PC) waveform. The MTSFM is a constant envelope parameterized FM waveform model whose design coefficients are adjusted to finely control the resulting waveform's correlation properties. Modifying several steps of the CAN algorithm facilitates computationally efficient synthesis of spectrally compact MTSFM waveforms with low auto-correlation sidelobes. The resulting MTSFM waveform correlation properties are competitive with their CAN -derived PC waveform counterparts while also possessing a substantially more compact spectral shape.
ISSN:2576-2303
DOI:10.1109/IEEECONF56349.2022.10052037