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arXiv · 1910.03048

Waveform Design using Multi-Tone Feedback Frequency Modulation

David A. Hague·Parker S. Kuklinski
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Abstract

This paper introduces a waveform design method using Multi-Tone Feedback Frequency Modulation (MT-FFM), a generalization of the single oscillator feedback FM method developed by [Tomisawa, 1981]. The MT-FFM utilizes a collection of $K$ harmonically related oscillators each governed by a design parameter $z_k$ which are utilized as a discrete set of parameters that may be modified to generate a richer set of modulation functions than in the single oscillator case. The resulting modulation function is represented using a form of Kapteyn series composed of Generalized Bessel Functions. This paper describes the structure of the MT-FFM waveform, derives the Kapteyn series representation of the waveform's modulation function, and demonstrates the design method with a waveform design example.

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BibTeXRIS

David A. Hague, Parker S. Kuklinski. 2019-10-07. Waveform Design using Multi-Tone Feedback Frequency Modulation. https://arxiv.org/abs/1910.03048

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