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Pulse Compression (PC) active sonar waveforms provide a significant improvement in range resolution over single frequency sinusoidal waveforms also known as Continuous Wave (CW) waveforms. Since their inception in the 1940's, a wide variety…

Signal Processing · Electrical Eng. & Systems 2018-10-01 David A. Hague

This paper presents an adaptive waveform design method using Multi-Tone Sinusoidal Frequency Modulation (MTSFM). The MTSFM waveform's modulation function is represented as a finite Fourier series expansion. The Fourier coefficients are…

Signal Processing · Electrical Eng. & Systems 2021-05-04 David A. Hague

This paper explores the design of constant modulus Matched-Illumination (MI) waveforms using the Multi-Tone Sinusoidal Frequency Modulation (MTSFM) waveform model. MI waveforms are optimized for detecting targets in known noise and clutter…

Signal Processing · Electrical Eng. & Systems 2021-05-26 Kaushallya Adhikari , David A. Hague

Phase Coded (PC) waveforms possess desirable Auto-Correlation Function (ACF) properties for use in radar and sonar systems. However, their spectra possess high spectral leakage due to the abrupt phase transitions between the chips in the…

Signal Processing · Electrical Eng. & Systems 2022-01-21 David A. Hague

This paper characterizes the mainlobe and sidelobe structure of the Multi-Tone Sinusoidal Frequency Modulated (MTSFM) transmit waveform's narrowband Ambiguity Function (AF) for active sonar applications. The MTSFM waveform's modulation…

Signal Processing · Electrical Eng. & Systems 2023-12-11 David A. Hague

This paper presents a method for generating a family of waveforms with low in-band Auto/Cross-Correlation Function (ACF/CCF) properties using the Multi-Tone Sinusoidal Frequency Modulated (MTSFM) waveform model. The MTSFM waveform's…

Signal Processing · Electrical Eng. & Systems 2020-03-17 David A. Hague

Recent research efforts in the Anti-Submarine Warfare (ASW) community have focused on developing sonar systems that adapt to their acoustic environment, referred to as "cognitive" sonars. Cognitive active sonar systems utilize principles of…

Signal Processing · Electrical Eng. & Systems 2021-11-18 David A. Hague

The spectral form factor (SFF) plays a crucial role in revealing the statistical properties of energy level distributions in complex systems. It is one of the tools to diagnose quantum chaos and unravel the universal dynamics therein. The…

Statistical Mechanics · Physics 2024-01-17 Zhiyang Wei , Chengming Tan , Ren Zhang

In this paper, we examine the parameter estimation performance of three well-known sinusoidal models for speech and audio. The first one is the standard Sinusoidal Model (SM), which is based on the Fast Fourier Transform (FFT). The second…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-04 George P. Kafentzis

Seismic data often face challenges in their utilization due to noise contamination, incomplete acquisition, and limited low-frequency information, which hinder accurate subsurface imaging and interpretation. Traditional processing methods…

Geophysics · Physics 2025-02-04 Shijun Cheng , Randy Harsuko , Tariq Alkhalifah

Generalized prolate spheroidal functions (GPSFs) arise naturally in the study of bandlimited functions as the eigenfunctions of a certain truncated Fourier transform. In one dimension, the theory of GPSFs (typically referred to as prolate…

Numerical Analysis · Mathematics 2024-10-02 Philip Greengard

Accurately modeling the inspiral-merger-ringdown (IMR) signal of coalescing compact objects is essential for the test of general relativity. However, it is known that astrophysical environments can distort gravitational-wave (GW) signal…

High Energy Astrophysical Phenomena · Physics 2026-04-02 Xinmiao Zhao , Han Yan , Xian Chen

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 $K$…

Signal Processing · Electrical Eng. & Systems 2021-04-29 David A. Hague , Parker S. Kuklinski

This paper addresses the problem of expressing a signal as a sum of frequency components (sinusoids) wherein each sinusoid may exhibit abrupt changes in its amplitude and/or phase. The Fourier transform of a narrow-band signal, with a…

Machine Learning · Computer Science 2013-02-27 Yin Ding , Ivan W. Selesnick

Surface-acoustic-wave (SAW) resonators operating at gigahertz (GHz) frequencies are widely used in wireless telecommunication and quantum information processing. Successful implementation of such resonators calls for detailed microscopic…

Optics · Physics 2026-01-23 Shizai Chu , Suraj Thapa Magar , John Nichol , Keji Lai

General frequency division multiplexing (GFDM) is a flexible non-orthogonal waveform candidate for 5G which can offer some advantages such as low out-of-band (OOB) emission and high spectral efficiency. In this paper, the effects of…

Signal Processing · Electrical Eng. & Systems 2018-03-07 Amirhossein Mohammadian , Abbas Mohammadi , Abdolali Abdipour , Mina Baghani

Integrated Sensing and Communication (ISAC) systems face stringent hardware constraints, particularly regarding the high Peak-to-Average Power Ratio (PAPR) of standard OFDM, which necessitates power amplifier (PA) back-off and reduces…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Amir Bouziane , Huseyin Arslan

This paper describes a gradient-descent based optimization algorithm for synthesizing Multi-Tone Sinusoidal Frequency Modulated (MTSFM) waveforms with low Auto-Correlation Function (ACF) sidelobes in a specified region of time delays while…

Signal Processing · Electrical Eng. & Systems 2023-04-25 David G. Felton , David A. Hague

A rigorous and computationally efficient method is presented for evaluating the reflection coefficients of antennas operating above planar layered media. The approach reformulates the problem within the framework of the antenna's…

Computational Engineering, Finance, and Science · Computer Science 2026-01-06 Chenbo Shi , Shichen Liang , Xin Gu , Jin Pan

Smoothed phase-coded frequency modulated continuous waveform (SPC-FMCW), which is aimed to improve the coexistence of multiple radars operating within the same frequency bandwidth, is studied, and the receiving strategy with a low ADC…

Signal Processing · Electrical Eng. & Systems 2023-01-26 Utku Kumbul , Nikita Petrov , Cicero S. Vaucher , Alexander Yarovoy
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