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This paper investigates the ambiguity function (AF) of communication signals carrying random data payloads, which is a fundamental metric characterizing sensing capability in ISAC systems. We first develop a unified analytical framework to…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Ying Zhang , Fan Liu , Yifeng Xiong , Tao Liu , Shi Jin

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

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 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

Integrated Sensing and Communications (ISAC) has garnered significant attention as a promising technology for next-generation wireless and vehicular communications. Among candidate waveforms, Orthogonal Frequency Division Multiplexing…

Signal Processing · Electrical Eng. & Systems 2025-12-11 Eya Gourar , Yahia Medjahdi , Laurent Clavier , Abdul Karim Gizzini , Patrick Sondi

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 aims to answer a fundamental question in the area of Integrated Sensing and Communications (ISAC): What is the optimal communication-centric ISAC waveform for ranging? Towards that end, we first established a generic framework to…

Information Theory · Computer Science 2025-07-22 Fan Liu , Ying Zhang , Yifeng Xiong , Shuangyang Li , Weijie Yuan , Feifei Gao , Shi Jin , Giuseppe Caire

Waveforms with ideal ambiguity functions are fundamental to integrated sensing and communication, to active sensing (radar), and to uplink multiple access. We describe a general method of constructing waveforms using the discrete Zak…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Nishant Mehrotra , Sandesh Rao Mattu , Robert Calderbank

Integrated sensing and communication (ISAC) techniques can leverage existing, wide-coverage communication networks to perform sensing tasks, enabling large-scale and low-cost target sensing. However, the inherent randomness of communication…

Signal Processing · Electrical Eng. & Systems 2026-05-25 Kaitao Meng , Kawon Han , Christos Masouros , Fan Liu

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

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

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

This paper investigates the performance of joint time delay and Doppler-stretch estimation with the random stepp ed-frequency (RSF) signal. Applying the ambiguity function (AF) to implement the estimation, we derive the compact expressions…

Information Theory · Computer Science 2016-05-20 Tong Zhao , Zheng Nan , Tianyao Huang

Affine frequency division multiplexing (AFDM) has emerged as a promising integrated sensing and communication (ISAC) waveform due to its intrinsic chirp signalling nature. Nevertheless, practical AFDM-based ISAC still faces two key…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Lingsheng Meng , Yong Liang Guan , Zilong Liu , Yirui Luo , Pingzhi Fan

Affine frequency division multiplexing (AFDM) is a promising chirp-based waveform with high flexibility and resilience, making it well-suited for next-generation wireless networks, particularly in high-mobility scenarios. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2025-07-14 Haoran Yin , Yanqun Tang , Yuanhan Ni , Zulin Wang , Gaojie Chen , Jun Xiong , Kai Yang , Marios Kountouris , Yong Liang Guan , Yong Zeng

Zak-OTFS is modulation scheme where signals are formed in the delay-Doppler (DD) domain, converted to the time domain (DD) for transmission and reception, then returned to the DD domain for processing. We describe how to use the same…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Nishant Mehrotra , Sandesh Rao Mattu , Saif Khan Mohammed , Ronny Hadani , Robert Calderbank

Next-generation wireless systems will offer integrated sensing and communications (ISAC) functionalities not only in order to enable new applications, but also as a means to mitigate challenges such as doubly-dispersive channels, which…

Affine Frequency Division Multiplexing (AFDM) has been proposed as an effective waveform for achieving the full diversity of doubly-dispersive (delay-Doppler) channels. While this property is closely related to range and velocity estimation…

Information Theory · Computer Science 2025-11-07 Ali Bemani , Nassar Ksairi , Marios Kountouris

Orthogonal frequency division multiplexing (OFDM) is one of the most widely adopted waveforms for integrated sensing and communication (ISAC) systems, owing to its high spectral efficiency and compatibility with modern communication…

Signal Processing · Electrical Eng. & Systems 2025-10-16 Kawon Han , Kaitao Meng , Alexandra Chatzicharistou , Christos Masouros
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