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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

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

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

This paper is focused on the design of phase sequences with good (aperiodic) autocorrelation properties in terms of Peak Sidelobe Level (PSL) and Integrated Sidelobe Level (ISL). The problem is formulated as a bi-objective Pareto…

Information Theory · Computer Science 2016-12-20 M. Alaee , A. Aubry , A. De Maio , M. M. Naghsh , M. Modarres-Hashemi

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

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

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

Binary sequences are widely used in various practical fields, such as telecommunications, radar technology, navigation, cryptography, measurement sciences, biology or industry. In this paper, a method to generate long binary sequences (LBS)…

Signal Processing · Electrical Eng. & Systems 2021-04-05 Miroslav Dimitrov , Tsonka Baitcheva , Nikolay Nikolov

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 search for binary sequences with a high figure of merit, known as the low autocorrelation binary sequence ($labs$}) problem, represents a formidable computational challenge. To mitigate the computational constraints of the problem, we…

Data Structures and Algorithms · Computer Science 2017-05-09 Borko Bošković , Franc Brglez , 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

Sequences having better autocorrelation properties play a crucial role in enhancing the performance of active sensing systems. Hence, sequences with good autocorrelation properties are very much in demand. In this paper, we addressed the…

Signal Processing · Electrical Eng. & Systems 2021-07-13 Surya Prakash Sankuru , Prabhu Babu , Mohammad Alaee-Kerahroodi

The high level of sidelobes in the autocorrelation function of the nonlinear frequency modulation signal is a challenge. One of the conventional methods to reduce the sidelobe levels is to use the principle of stationary phase. In this…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Roohollah Ghavamirad , Ramezan Ali Sadeghzadeh , Mohammad Ali Sebt

Finding sets of binary sequences with low auto- and cross-correlation properties is a hard combinatorial optimization problem with numerous applications, including multiple-input-multiple-output (MIMO) radar and global navigation satellite…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Alan Yang , Tara Mina , Grace Gao

Unimodular/Phase only sequence having impulse like aperiodic auto-correlation function plays a central role in the applications of RADAR, SONAR, Cryptography, and Wireless (CDMA) Communication Systems. In this paper, we propose a fast…

Signal Processing · Electrical Eng. & Systems 2020-07-16 Surya Prakash Sankuru , Prabhu Babu

In this paper, we present a computational search for best-known merit factors of longer binary sequences with an odd length. Finding low autocorrelation binary sequences with optimal or suboptimal merit factors is a very difficult…

Information Theory · Computer Science 2023-01-13 Janez Brest , Borko Bošković

Binary sequences with minimal autocorrelations have applications in communication engineering, mathematics and computer science. In statistical physics they appear as groundstates of the Bernasconi model. Finding these sequences is a…

Statistical Mechanics · Physics 2016-03-25 Tom Packebusch , Stephan Mertens

Constant modulus sequence having lower side-lobe levels in its auto-correlation function plays an important role in the applications like SONAR, RADAR and digital communication systems. In this paper, we consider the problem of minimizing…

Signal Processing · Electrical Eng. & Systems 2020-01-20 Surya Prakash Sankuru , Prabhu Babu

Multiple-input multiple-output (MIMO) radars transmit a set of sequences that exhibit small cross-correlation sidelobes, to enhance sensing performance by separating them at the matched filter outputs. The waveforms also require small…

Signal Processing · Electrical Eng. & Systems 2021-04-08 Ehsan Raei , Mohammad Alaee-Kerahroodi , Prabhu Babu , M. R. Bhavani Shankar

The merit factor problem is of practical importance to manifold domains, such as digital communications engineering, radars, system modulation, system testing, information theory, physics, chemistry. However, the merit factor problem is…

Information Theory · Computer Science 2021-06-08 Miroslav Dimitrov
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