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Related papers: Zak-Transform-Induced Optimal Sequences and Their …

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In orthogonal time frequency space (OTFS) modulation, information-carrying symbols reside in the delay-Doppler (DD) domain. By operating in the DD domain, an appealing property for communication arises: time-frequency (TF) dispersive…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Franz Lampel , Alex Alvarado , Frans M. J. Willems

Low ambiguity zone (LAZ) sequences play a crucial role in modern integrated sensing and communication (ISAC) systems. In this paper, we introduce a novel class of functions known as locally perfect nonlinear functions (LPNFs). By utilizing…

Information Theory · Computer Science 2025-01-22 Zheng Wang , Zhengchun Zhou , Avik Ranjan Adhikary , Yang Yang , Sihem Mesnager , Pingzhi Fan

Spectrally constrained sequences (SCSs) play an important role in modern communication and radar systems operating over non-contiguous spectrum. Despite numerous research attempts over the past years, very few works are known on the…

Information Theory · Computer Science 2022-09-27 Zhifan Ye , Zhengchun Zhou , Zilong Liu , Xiaohu Tang , Pingzhi Fan

Zak-Orthogonal Time Frequency Space (Zak-OTFS) modulation has been shown to achieve significantly better performance compared to the standardized Cyclic-Prefix Orthogonal Frequency Division Multiplexing (CP-OFDM), in high delay/Doppler…

This letter presents a direct construction of cross Z-complementary sequence sets (CZCSSs), whose aperiodic correlation sums exhibit zero correlation zones at both the front-end and tail-end shifts. CZCSS can be regarded as an extension of…

Information Theory · Computer Science 2022-07-07 Praveen Kumar , Sudhan Majhi , Subhabrata Paul

A pair of sequences is called a Z-complementary pair (ZCP) if it has zero aperiodic autocorrelation sums at each of the non-zero time-shifts within {a} certain region, called the zero correlation zone (ZCZ). ZCPs are categorised into two…

Information Theory · Computer Science 2020-04-14 Zhi Gu , Zhengchun Zhou , Qi Wang , Pingzhi Fan

Millimeter-wave (mmWave) communication offers vast bandwidth for next-generation wireless systems but faces severe path loss, Doppler effects, and hardware impairments. Orthogonal Time Frequency Space (OTFS) modulation has emerged as a…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Sabarinath Ramachandran , Venkatesh Khammammetti , Prasanthi Maddala , Narayan Mandayam , Ivan Seskar , Robert Calderbank

This paper proposes a grant-free coded random access (CRA) scheme for uplink massive machine-type communications (mMTC), based on Zak-orthogonal time frequency space (Zak-OTFS) modulation in the delay-Doppler domain. The scheme is tailored…

Signal Processing · Electrical Eng. & Systems 2025-07-30 Alessandro Mirri , Venkatesh Khammammetti , Beyza Dabak , Enrico Paolini , Krishna Narayanan , Robert Calderbank

4G/5G wireless standards use orthogonal frequency division multiplexing (OFDM) which is robust to frequency selectivity. Equalization is possible with a single tap filter, and low-complexity equalization makes OFDM an attractive physical…

Signal Processing · Electrical Eng. & Systems 2025-09-25 Sandesh Rao Mattu , Nishant Mehrotra , Saif Khan Mohammed , Venkatesh Khammammetti , Robert Calderbank

Zero-difference balanced (ZDB) functions can be employed in many applications, e.g., optimal constant composition codes, optimal and perfect difference systems of sets, optimal frequency hopping sequences, etc. In this paper, two results…

Information Theory · Computer Science 2013-10-29 Qi Wang , Yue Zhou

Sets of sequences with good correlation properties are desired in many active sensing and communication systems, e.g., multiple-input-multiple-output (MIMO) radar systems and code-division multiple-access (CDMA) cellular systems. In this…

Optimization and Control · Mathematics 2016-05-04 Junxiao Song , Prabhu Babu , Daniel P. Palomar

Zak-transform based orthogonal time frequency space (Zak-OTFS) is a delay-Doppler (DD) domain modulation scheme in which the signal processing is carried out in the DD domain. The channel when viewed in the DD domain is predictable.…

Signal Processing · Electrical Eng. & Systems 2025-07-21 Sandesh Rao Mattu , Nishant Mehrotra , Robert Calderbank

Wireless users with different characteristics will be expected to share spectrum in next generation communication networks. One of the great strengths of wireless networks based on Orthogonal Frequency Division Multiplexing (OFDM) is the…

Signal Processing · Electrical Eng. & Systems 2025-07-22 Imran Ali Khan , Saif Khan Mohammed , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

Zero correlation zone (ZCZ) sequences and Golay sequences are two kinds of sequences with different preferable correlation properties. It was shown by Gong \textit{et al.} and Chen \textit{et al.} that some Golay sequences also possess a…

Information Theory · Computer Science 2021-08-16 Zhi Gu , Zhengchun Zhou , Avik Ranjan Adhikary , Yanghe Feng , Pingzhi Fan

In this paper, we propose a direct construction of a novel type of code set, which has combined properties of complete complementary code (CCC) and zero-correlation zone (ZCZ) sequences and called it complete complementary-ZCZ (CC-ZCZ) code…

Information Theory · Computer Science 2022-07-28 Nishant Kumar , Sudhan Majhi , A. K. Upadhyay

Generalized spatial modulation (GSM) is a novel multiple-antenna technique offering flexibility among spectral efficiency, energy efficiency, and the cost of RF chains. In this paper, a novel class of sequence sets, called enhanced cross…

Information Theory · Computer Science 2023-12-04 Zhen-Ming Huang , Cheng-Yu Pai , Zilong Liu , Chao-Yu Chen

Across the world, there is growing interest in new waveforms, Zak-OTFS in particular, and over-the-air implementations are starting to appear. The choice between OFDM and Zak-OTFS is not so much a choice between waveforms as it is an…

The zero correlation zone (ZCZ) ratio, i.e., the ratio of the width of the ZCZ and the length of the sequence plays a major role in reducing interference in an asynchronous environment of communication systems. However, to the best of the…

Combinatorics · Mathematics 2019-08-01 Avik Ranjan Adhikary , Palash Sarkar , Sudhan Majhi

In our first paper [2] we explained why the Zak-OTFS input-output (I/O) relation is predictable and non-fading when the delay and Doppler periods are greater than the effective channel delay and Doppler spreads, a condition which we refer…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Saif Khan Mohammed , Ronny Hadani , Ananthanarayanan Chockalingam , Robert Calderbank

We introduce the sudden variant (SNZ) of the Net Zero scheme realizing controlled-$Z$ (CZ) gates by baseband flux control of transmon frequency. SNZ CZ gates operate at the speed limit of transverse coupling between computational and…