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arXiv 1910.03048eess.SP
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多音反馈调频波形设计

Waveform Design using Multi-Tone Feedback Frequency Modulation

David A. Hague, Parker S. Kuklinski

摘要:

本文介绍了一种使用多音频反馈频率调制(MT-FFM)的波形设计方法,MT-FFM是由[Tomisawa,1981]开发的单振荡器反馈FM方法的推广。MT-FFM利用$K$谐波相关振荡器的集合,每个振荡器由设计参数$z_k$控制,设计参数用作离散参数集,可以修改这些参数集以生成比单个振荡器情况更丰富的调制函数集。由此产生的调制函数表示使用由广义贝塞尔函数组成的Kapteyn级数的形式。介绍了MT-FFM波形的结构,推导了波形调制函数的Kapteyn级数表示,并通过波形设计实例说明了设计方法。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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