2020•arXiv (Cornell University)Open access

Generating Waveform Families using Multi-Tone Sinusoidal Frequency\n Modulation

David A. Hague

Abstract

This paper presents a method for generating a family of waveforms with low\nin-band Auto/Cross-Correlation Function (ACF/CCF) properties using the\nMulti-Tone Sinusoidal Frequency Modulated (MTSFM) waveform model. The MTSFM\nwaveform's modulation function is represented using a Fourier series expansion.\nThe Fourier coefficients are utilized as a set of discrete parameters that can\nbe modified to optimize the waveform family's properties. The waveforms'\nACF/CCF properties are optimized utilizing a multi-objective optimization\nproblem. Each objective function is weighted to place emphasis on either low\nACF or CCF sidelobes. The resulting optimized MTSFM waveforms each possess a\nthumbtack-like Ambiguity Function in addition to the specifically designed\nACF/CCF properties. Most importantly, the resulting MTSFM waveform families\npossess both ideally low Peak-to-Average Power Ratios (PAPR) and high Spectral\nEfficiency (SE) making them well suited for transmission on practical radar\ntransmitters.\n

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Waveform, Ambiguity function, Frequency modulation, Modulation (music), Arbitrary waveform generator, Fourier series, Computer science, Tone (literature)