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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 investigates the radar Ambiguity Function (AF) properties of Constant Envelope Orthogonal Frequency Division Multiplexing (CE-OFDM) waveforms employing Phase-Shift Keying (PSK). The CE-OFDM is in fact a special case of the…

Signal Processing · Electrical Eng. & Systems 2023-03-20 David G. Felton , 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

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

This paper provides a fundamental characterization of the discrete ambiguity functions (AFs) of random communication waveforms under arbitrary orthonormal modulation with random constellation symbols, which serve as a key metric for…

Information Theory · Computer Science 2026-02-26 Ying Zhang , Fan Liu , Yifeng Xiong , Weijie Yuan , Shuangyang Li , Le Zheng , Tony Xiao Han , Christos Masouros , Shi Jin

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

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 a unified and system-agnostic analysis of the ambiguity function (AF) characteristics of four representative multicarrier waveforms, orthogonal frequency division multiplexing (OFDM), orthogonal time frequency space…

Signal Processing · Electrical Eng. & Systems 2025-10-14 Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu

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

This paper demonstrates a method that synthesizes narrowband Multiple-Input Multiple-Output (MIMO) beampatterns using the Multi-Tone Sinusoidal Frequency Modulated (MTSFM) waveform model. MIMO arrays transmit unique waveforms on each of…

Signal Processing · Electrical Eng. & Systems 2024-12-11 David A. Hague

In this paper, we derive an ambiguity function (AF) for the transmit beamspace (TB)-based multipleinput multiple-output (MIMO) radar for the case of far-field targets and narrow-band waveforms. The effects of transmit coherent processing…

Information Theory · Computer Science 2016-11-17 Yongzhe Li , Sergiy A. Vorobyov , Visa Koivunen

The frequency dependent beampatterns of an active sonar projector filters the acoustic signal that is transmitted into the medium, also known as the transmit waveform. This filtering encodes information about the target's bearing relative…

Signal Processing · Electrical Eng. & Systems 2021-07-28 David A. Hague , Matthew D. Tidwell

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

This paper investigates the ambiguity function (AF) of the emerging affine frequency division multiplexing (AFDM) waveform for Integrated Sensing and Communication (ISAC) signaling under a pulse shaping regime. Specifically, we first derive…

Signal Processing · Electrical Eng. & Systems 2025-11-07 Yuanhan Ni , Fan Liu , Haoran Yin , Yanqun Tang , Zulin Wang

Discrete affine Fourier transform spread affine frequency division multiplexing (DAFT-s-AFDM) is a promising waveform for integrated sensing and communication (ISAC) due to its low peak-to-average power ratio, robustness to Doppler shifts,…

Signal Processing · Electrical Eng. & Systems 2026-05-20 Shiqi Cui , Tianqi Mao , Fan Zhang , Zeping Sui , Christos Masouros , Zhaocheng Wang

This paper experimentally evaluates the Generalized Sinusoidal Frequency Modulated (GSFM) waveform, a generalization of the Sinusoidal Frequency Modulated (SFM) waveform. The Instantaneous Frequency (IF) of the GSFM resembles the…

Signal Processing · Electrical Eng. & Systems 2021-04-29 David A. Hague , John R. Buck

Integrated sensing and communication (ISAC) is a key enabling technique for future wireless networks owing to its efficient hardware and spectrum utilization. In this paper, we focus on dual-functional waveform design for a multi-input…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Peishi Li , Ming Li , Rang Liu , Qian Liu , A. Lee Swindlehurst

Frequency-modulated continuous wave (FMCW) radar with inter-chirp coding produces high side-lobes in the Doppler and range dimensions of the radar's ambiguity function. The high side-lobes may cause miss-detection due to masking between…

Signal Processing · Electrical Eng. & Systems 2024-02-27 Zahra Esmaeilbeig , Arindam Bose , Mojtaba Soltanalian

In active sensing systems, waveforms with ambiguity functions (AFs) of low peak sidelobe levels (PSLs) across a time delay and Doppler frequency shift plane (delay-Doppler plane) of interest are desirable for reducing false alarms.…

Signal Processing · Electrical Eng. & Systems 2025-04-09 Weiting Lin , Yuwei Chang , Borching Su

Affine frequency division multiplexing (AFDM) is a chirp-based multicarrier waveform that was recently proposed for communication over doubly dispersive channels. Given its chirp nature, AFDM is expected to have superior sensing…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Ebrahim Bedeer
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