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Simple and efficient algorithm based on heuristic search by shotgun hill climbing to construct binary sequences with small peak sidelobe levels (PSL) is suggested. The algorithm is applied for generation of binary sequences of lengths…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Miroslav Dimitrov , Tsonka Baitcheva , Nikolay Nikolov

In this work, a classical problem of the digital sequence design, or more precisely, finding binary sequences with optimal peak sidelobe level (PSL), is revisited. By combining some of our previous works, together with some mathematical…

Signal Processing · Electrical Eng. & Systems 2021-04-22 Miroslav Dimitrov , Tsonka Baitcheva , Nikolay Nikolov

Results of an exhaustive search for minimum peak sidelobe level binary sequences are presented. Several techniques for efficiency implementation of search algorithm are described. A table of number of non-equivalent optimal binary sequences…

Other Computer Science · Computer Science 2013-01-15 Anatolii Leukhin , Egor Potehin

The search for binary sequences with low peak sidelobe level value represents a formidable computational problem. To locate better sequences for this problem, we designed a stochastic algorithm that uses two fitness functions. In these…

Artificial Intelligence · Computer Science 2024-06-12 Borko Bošković , Janez Brest

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

Binary machines are a generalization of Feedback Shift Registers (FSRs) in which both, feedback and feedforward, connections are allowed and no chain connection between the register stages is required. In this paper, we present an algorithm…

Cryptography and Security · Computer Science 2011-05-24 Elena Dubrova

Sequences with a low correlation have very important applications in communications, cryptography, and compressed sensing. In the literature, many efforts have been made to construct good sequences with various lengths where binary…

Information Theory · Computer Science 2022-10-25 Lingfei Jin , Liming Ma , Chaoping Xing

In this paper, the construction of finite-length binary sequences whose nonlinear complexity is not less than half of the length is investigated. By characterizing the structure of the sequences, an algorithm is proposed to generate all…

Information Theory · Computer Science 2023-12-27 Sicheng Liang , Xiangyong Zeng , Zibi Xiao , Zhimin Sun

The problem of finding aperiodic low auto-correlation binary sequences (LABS) presents a significant computational challenge, particularly as the sequence length increases. Such sequences have important applications in communication…

Data Structures and Algorithms · Computer Science 2025-05-27 Blaž Pšeničnik , Rene Mlinarič , Janez Brest , Borko Bošković

Registers with Non-Linear Update (RNLUs) are a generalization of Non-Linear Feedback Shift Registers (NLFSRs) in which both, feedback and feedforward, connections are allowed and no chain connection between the stages is required. In this…

Information Theory · Computer Science 2013-06-25 Nan Li , Elena Dubrova

Controlling peak side-lobe level (PSL) is of great importance in high-resolution applications of multiple-input multiple-output (MIMO) radars. In this paper, designing sequences with good autocorrelation properties are studied. The PSL of…

Signal Processing · Electrical Eng. & Systems 2020-10-09 Hamid Esmaeili Najafabadi , Mohammad Ataei , Mohamad F. Sabahi

The Longest Common Subsequence (LCS) is a fundamental string similarity measure, and computing the LCS of two strings is a classic algorithms question. A textbook dynamic programming algorithm gives an exact algorithm in quadratic time, and…

Data Structures and Algorithms · Computer Science 2023-02-13 Xiaoyu He , Ray Li

Low-discrepancy sequences have seen widespread adoption in computer graphics thanks to their superior convergence rates. Since rendering integrals often comprise products of lower-dimensional integrals, recent work has focused on developing…

Graphics · Computer Science 2025-05-28 Abdalla G. M. Ahmed , Matt Pharr , Victor Ostromoukhov , Hui Huang

Sequences with low aperiodic autocorrelation sidelobes are well known to have extensive applications in active sensing and communication systems. In this paper, we consider the problem of minimizing the weighted integrated sidelobe level…

Optimization and Control · Mathematics 2016-04-20 Junxiao Song , Prabhu Babu , Daniel P. Palomar

Sequences sets with low aperiodic auto- and cross-correlations play an important role in many applications like communications, radar and other active sensing applications. The use of antipodal sequences reduces hardware requirements while…

Information Theory · Computer Science 2011-02-15 Salvador Javier Haboba , Riccardo Rovatti , Gianluca Setti

We present a general algorithm for generating arbitrary standard complementary pairs of sequences (including binary, polyphase, M-PSK and QAM) of length 2^N using Boolean functions. The algorithm follows our earlier paraunitary algorithm,…

Information Theory · Computer Science 2013-11-20 Srdjan Budišin , Predrag Spasojević

Recently sequence-to-sequence models have started to achieve state-of-the-art performance on standard speech recognition tasks when processing audio data in batch mode, i.e., the complete audio data is available when starting processing.…

Audio and Speech Processing · Electrical Eng. & Systems 2020-07-28 Thai-Son Nguyen , Ngoc-Quan Pham , Sebastian Stueker , Alex Waibel

We present a new approach to constructing of pseudo-random binary sequences (PRS) generators for the purpose of cryptographic data protection, secured from the perpetrator's attacks, caused by generation of masses of hardware errors and…

Cryptography and Security · Computer Science 2018-09-10 Oleg Finko , Sergey Dichenko

Random residue sequences (RR) may be used in many random number applications including those related to multiple access in communications. This paper investigates variations on an algorithm to generate RR sequences that was proposed earlier…

Cryptography and Security · Computer Science 2014-06-13 Vamsi Sashank Kotagiri

Unimodular sequences with low autocorrelations are desired in many applications, especially in the area of radar and code-division multiple access (CDMA). In this paper, we propose a new algorithm to design unimodular sequences with low…

Optimization and Control · Mathematics 2023-07-19 Junxiao Song , Prabhu Babu , Daniel P. Palomar
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