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In this paper, the design of binary sequences exhibiting low values of aperiodic/periodic correlation functions, in terms of Integrated Sidelobe Level (ISL), is pursued via a learning-inspired method. Specifcally, the synthesis of either a…

Signal Processing · Electrical Eng. & Systems 2023-05-17 Omid Rezaei , Mahdi Ahmadi , Mohammad Mahdi Naghsh , Augusto Aubry , Mohammad Mahdi Nayebi , Antonio De Maio

The integer quantum anomalous Hall (QAH) effect is a lattice analog of the quantum Hall effect at zero magnetic field. This striking transport phenomenon occurs in electronic systems with topologically nontrivial bands and spontaneous…

The Pursley-Sarwate criterion of a pair of finite complex-valued sequences measures the collective smallness of the aperiodic autocorrelations and the aperiodic crosscorrelations of the two sequences. It is known that this quantity is…

Information Theory · Computer Science 2019-05-30 Christian Günther , Kai-Uwe Schmidt

A practical and scalable, optimal detection algorithm is introduced for hierarchical Gray-coded $2^n$ QAM for application in software defined communications. The introduced optimal detection algorithm is based on successive interference…

Signal Processing · Electrical Eng. & Systems 2019-10-29 Hadi Alasti

Consider a lossy communication channel for unicast with zero-delay feedback. For this communication scenario, a simple retransmission scheme is optimum with respect to delay. An alternative approach is to use random linear coding in…

Information Theory · Computer Science 2016-11-18 Mohammad Ravanbakhsh , Angela I. Barbero Diez , Oyvind Ytrehus

In recent years, traditional zero-correlation zone (ZCZ) sequences are being studied due to support interference-free quasi-synchronous code division multiple access (QS-CDMA) systems. However, in cognitive radio (CR) network, it is…

Information Theory · Computer Science 2023-09-06 Nishant Kumar , Palash Sarkar , Sudhan Majhi

This paper investigates the performance of relay networks in the presence of hybrid automatic repeat request (ARQ) feedback and adaptive power allocation. The throughput and the outage probability of different hybrid ARQ protocols are…

Information Theory · Computer Science 2016-11-17 Behrooz Makki , Thomas Eriksson , Tommy Svensson

The higher Leray-Serre spectral sequence associated with a tower of fibrations represents a generalization of the classical Leray-Serre spectral sequence of a fibration. In this work, we present algorithms to compute higher Leray-Serre…

Algebraic Topology · Mathematics 2021-07-23 Andrea Guidolin , Ana Romero

The momentum or velocity autocorrelation function C(t) for a tagged oscillator in a finite harmonic system decays like that of an infinite system for short times, but exhibits erratic behavior at longer time scales. We introduce the…

Statistical Mechanics · Physics 2015-12-22 Dan Plyukhin , Alex V. Plyukhin

We present the first results of a study aimed to detect large HI structures in radio galaxies. In two of the three cases presented (Coma A and B2 0648+27), the detection of a large amount of HI distributed over several tens of kpc suggests…

Astrophysics · Physics 2009-11-07 R. Morganti , T. Oosterloo , C. Tadhunter , B. Emonts

We generalize the array orthogonality property for perfect autocorrelation sequences to $n$-dimensional arrays. The generalized array orthogonality property is used to derive a number of $n$-dimensional perfect array constructions.

Information Theory · Computer Science 2014-12-11 Sam Blake , Andrew Tirkel

We propose an efficient method for designing broad beams with spatially flat array factor and efficient power utilization for cell-specific coverage in communication systems equipped with large antenna arrays. To ensure full power…

Signal Processing · Electrical Eng. & Systems 2021-10-12 Maksym A. Girnyk , Sven O. Petersson

The autocorrelation function of spectral determinants is proposed as a convenient tool for the characterization of spectral statistics in general, and for the study of the intimate link between quantum chaos and random matrix theory, in…

chao-dyn · Physics 2009-10-28 S. Kettemann , D. Klakow , U. Smilansky

We consider perfect 1-error correcting codes over a finite field with $q$ elements (briefly $q$-ary 1-perfect codes). In this paper, a generalized concatenation construction for $q$-ary 1-perfect codes is presented that allows us to…

Discrete Mathematics · Computer Science 2017-11-02 Alexander M. Romanov

We derive the statistical limit of the spectral autocorrelation function and of the survival probability for the indirect photodissociation of molecules in the regime of non-overlapping resonances. The results are derived in the framework…

chao-dyn · Physics 2016-09-28 Y. Alhassid , Yan V. Fyodorov

Constant amplitude zero auto-correlation (CAZAC) sequences are widely applied in waveforms for radar and communication systems. Motivated by a recent work [Berggren and Popovi\'c, IEEE Trans. Inf. Theory 70(8), 6068-6075 (2024)], this paper…

Information Theory · Computer Science 2026-01-21 Qin Yuan , Chunlei Li , Xiangyong Zeng

Variable-length feedback codes can provide advantages over fixed-length feedback or non-feedback codes. This letter focuses on uncoded variable-symbol-length feedback communication and analyzes the autocorrelation and spectrum of the…

Information Theory · Computer Science 2022-11-23 Chin-Wei Hsu , Hun-Seok Kim , Achilleas Anastasopoulos

Like other pseudorandom sequences, decimal sequences may be used in designing a Code Division Multiple Access (CDMA) system. They appear to be ideally suited for this since the cross-correlation of d-sequences taken over the LCM of their…

Information Theory · Computer Science 2008-04-22 Sandeep Chalasani

This paper considers three kinds of length sequences of the complete genome. Detrended fluctuation analysis, spectral analysis, and the mean distance spanned within time $L$ are used to discuss the correlation property of these sequences.…

Biological Physics · Physics 2009-11-06 Zu-Guo Yu , V. V. Anh , Bin Wang

A transformed auto-correlation method is presented here, where a received signal is transformed based on a priori reflecting model, and then the transformed signal is cross-correlated to its original one. If the model is correct, after…

Instrumentation and Methods for Astrophysics · Physics 2014-07-03 Jianfeng Zhou , Yang Gao
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