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Doppler-resilient complementary sequence sets (DRCSs) are crucial in modern communication and sensing systems in mobile environments. In this paper, we propose a new lower bound for the aperiodic ambiguity function (AF) of unimodular DRCSs…

Information Theory · Computer Science 2025-05-19 Zheng Wang , Yang Yang , Zhengchun Zhou , Avik Ranjan Adhikary , Pingzhi Fan

Quasi-complementary sequence sets (QCSSs) can be seen as a generalized version of complete complementary codes (CCCs), which enables multicarrier communication systems to support more users. The contribution of this work is two-fold. First,…

Information Theory · Computer Science 2020-10-22 Avik Ranjan Adhikary , Yanghe Feng , Zhengchun Zhou , Pingzhi Fan

Sequences with excellent ambiguity functions are very useful in radar detection and modern mobile communications. Doppler resilient complementary sequence (DRCS) is a new type of sequence proposed recently, which can achieve lower ambiguity…

Information Theory · Computer Science 2025-08-22 Bingsheng Shen , Zhengchun Zhou , Yang Yang , Pingzhi Fan

Sequences exhibiting favorable ambiguity function characteristics play a critical role in radar detection systems and modern mobile communication applications. As a newly developed sequence family, Doppler resilient complementary sequence…

Information Theory · Computer Science 2026-04-20 Xuanyu Liu , Pinhui Ke , Zuling Chang

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

Quasi-complementary sequence sets (QCSSs) play an important role in multi-carrier code division multiple access (MC-CDMA) systems as they can support more users than perfect complementary sequence sets (PCSSs). The objective of this paper…

Information Theory · Computer Science 2025-03-19 Peng Wang , Ziling Heng , Chengju Li

Compared with the perfect complementary sequence sets, quasi-complementary sequence sets (QCSSs) can support more users to work in multicarrier CDMA communications. A near-optimal periodic QCSS is constructed in this paper by using an…

Information Theory · Computer Science 2017-07-18 Yu Li , Tongjiang Yan , Chuan Lv

The correlation properties of sequences form a focal point in the design of multiple access systems of communications. Such a system must be able to serve a number of simultaneous users while keeping interference low. A popular choice for…

Information Theory · Computer Science 2021-09-29 Gaojun Luo , Martianus Frederic Ezerman , San Ling

We present a method for generating hexagonal aperiodic tilings that are topologically equivalent to the triangular and dice lattices. This approach incorporates aperiodic sequences into the spacing between three sets of grids for the…

Materials Science · Physics 2025-03-12 Toranosuke Matsubara , Akihisa Koga , Tomonari Dotera

In recent years, complementary sequence sets have found many important applications in multi-carrier code-division multiple-access (MC-CDMA) systems for their good correlation properties. In this paper, we propose a construction, which can…

Information Theory · Computer Science 2021-05-24 Zhengchun Zhou , Fangrui Liu , Avik Ranjan Adhikary , Pingzhi Fan

While Doppler resilient complementary waveforms have previously been considered to suppress range sidelobes within a Doppler interval of interest in radar systems, their capability of Doppler resilience has not been fully utilized. In this…

Information Theory · Computer Science 2021-01-26 Jiahuan Wang , Pingzhi Fan , Des McLernon , Zhiguo Ding

Perfect complementary sequence sets (PCSSs) are widely used in multi-carrier code-division multiple-access (MC-CDMA) communication systems. However, the set size of a PCSS is upper bounded by the number of row sequences of each…

Information Theory · Computer Science 2024-12-03 Ziling Heng , Peng Wang , Chunlei Xie , Haiyan Zhou

Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all…

Soft Condensed Matter · Physics 2022-10-17 Andrew J. Archer , Tomonari Dotera , Alastair M. Rucklidge

Periodic approximations of quasicrystals are a powerful tool in analyzing spectra of Schr\"odinger operators arising from quasicrystals, given the known theory for periodic crystals. Namely, we seek periodic operators whose spectra…

Dynamical Systems · Mathematics 2024-08-20 Lior Tenenbaum

A continuous-time dynamical system with parameter $\varepsilon$ is nearly-periodic if all its trajectories are periodic with nowhere-vanishing angular frequency as $\varepsilon$ approaches 0. Nearly-periodic maps are discrete-time analogues…

Machine Learning · Computer Science 2023-05-11 Valentin Duruisseaux , Joshua W. Burby , Qi Tang

Quasi-complementary sequence sets (QCSSs) have attracted sustained research interests for simultaneously supporting more active users in multi-carrier code-division multiple-access (MC-CDMA) systems compared to complete complementary codes…

Information Theory · Computer Science 2024-01-12 Palash Sarkar , Chunlei Li , Sudhan Majhi , Zilong Liu

We introduce universally robust sequences for dynamical decoupling, which simultaneously compensate pulse imperfections and the detrimental effect of a dephasing environment to an arbitrary order, work with any pulse shape, and improve…

Quantum Physics · Physics 2017-03-30 Genko T. Genov , Daniel Schraft , Nikolay V. Vitanov , Thomas Halfmann

We describe a method of constructing a sequence of phase coded waveforms with perfect autocorrelation in the presence of Doppler shift. The constituent waveforms are Golay complementary pairs which have perfect autocorrelation at zero…

Information Theory · Computer Science 2007-07-13 Ali Pezeshki , A. Robert Calderbank , William Moran , Stephen D. Howard

This paper is devoted to studying the asymptotic behaviour of solutions to generalized non-commensurate fractional systems. To this end, we first consider fractional systems with rational orders and introduce a criterion that is necessary…

Numerical Analysis · Mathematics 2024-07-15 Kai Diethelm , Safoura Hashemishahraki , Ha Duc Thai , Hoang The Tuan

In quasicrystals, the phason degree of freedom and the inherent anharmonic potentials lead to complex dynamics which cannot be described by the usual phonon modes of motion. We have constructed simple one-dimensional model systems, the…

Materials Science · Physics 2010-10-11 Hansjörg Lipp , Michael Engel , Steffen Sonntag , Hans-Rainer Trebin
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