Constructing Binary Sequences With Good Correlation Properties: An Efficient Analytical-Computational Interplay

Bose, Arindam; Soltanalian, Mojtaba

doi:10.1109/tsp.2018.2814990

Cited by 25 publications

(10 citation statements)

References 55 publications

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“…where z = [z 1 z 2 ....z P ] T 1×P . Apart from the unimodular constraint, there are interests in imposing constraints like binary constraint [28], [26], [40], spectral constraint [41], [42], [43], similarity constraint [44], [45], Peak to Average Power Ratio (PAPR) constraint [46] to name a few.…”

Section: A Signal Model and Problem Formulationmentioning

confidence: 99%

“…Hence, algebraic approaches are not viable to generate sequences of large lengths. To overcome this issue, recently, computational approaches [7], [26], [27], [28], came into existence and enabled a way to design sequences of arbitrary lengths at a slighter computational cost. Some of the developed computational approaches are the stochastic search methods [29], exhaustive search methods [30],…”

Section: Iintroductionmentioning

confidence: 99%

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A Fast Iterative Algorithm to design phase only sequences by minimizing the ISL metric

Sankuru¹,

Babu²

2020

Preprint

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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 iterative algorithm to design phase only sequences of arbitrary lengths by minimizing the Integrated Side-lobe Level (ISL) metric, which is very closely related to the auto-correlation property of a sequence. The ISL

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Section: A Signal Model and Problem Formulationmentioning

confidence: 99%

Section: Iintroductionmentioning

confidence: 99%

A Fast Iterative Algorithm to design phase only sequences by minimizing the ISL metric

Sankuru¹,

Babu²

2020

Preprint

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“…As a special case of that, the study of discrete sequence also attracts many researchers. The authors in [36] bridged the gap between the exhaustive search method and the analytical constructions method, and proposed a construction method which can be accomplished in polynomial time. The authors in [37] formulated the sequence sets design as a quadratically constrained quadratic program problem and proposed an algorithm based on semidefinite program (SDP) relaxation and randomized projection technique to tackle it.…”

Section: Introductionmentioning

confidence: 99%

Designing Binary Sequence Set with Optimized Correlation Properties via ADMM Approach

Wang¹,

Wang²

2021

Preprint

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In this paper, we design low correlation binary sequences favorable in wireless communication and radar applications. First, we formulate the designing problem as a nonconvex combination optimization problem with flexible correlation interval; second, by relaxing constraints and introducing auxiliary variables, the original minimization problem is equivalent to a consensus continuous optimization problem; third, to achieve its good approximate solution efficiently, we propose the distributed executable algorithms based on alternating direction method of multipliers (ADMM); fourth, we prove that the proposed ADMM algorithms can converge to some stationary point of the approximate problem. Moreover, the computational complexity analysis is considered. Simulation results demonstrate that the proposed ADMM approaches outperform state-of-the-art ones in either computational cost or selection of correlation interval of the designed binary sequences.

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“…There continues to be extensive research on designing optimal PC waveforms for MIMO applications [6], [17], [18] and cognitive radar applications [19]- [21]. Additionally, the general study of developing algorithms to design PC waveforms with specific AF/ACF shape is still a problem of interest to the radar and sonar communities [22]- [26].…”

Section: Introductionmentioning

confidence: 99%

Transmit waveform design using Multi-Tone Sinusoidal Frequency Modulation

Hague

2017

2017 IEEE Radar Conference (RadarConf)

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This paper presents a method for generating a family of waveforms with low in-band Auto/Cross-Correlation Function (ACF/CCF) properties using the Multi-Tone Sinusoidal Frequency Modulated (MTSFM) waveform model. The MTSFM waveform's modulation function is represented using a Fourier series expansion. The Fourier coefficients are utilized as a set of discrete parameters that can be modified to optimize the waveform family's properties. The waveforms' ACF/CCF properties are optimized utilizing a multi-objective optimization problem. Each objective function is weighted to place emphasis on either low ACF or CCF sidelobes. The resulting optimized MTSFM waveforms each possess a thumbtack-like Ambiguity Function in addition to the specifically designed ACF/CCF properties. Most importantly, the resulting MTSFM waveform families possess both ideally low Peak-to-Average Power Ratios (PAPR) and high Spectral Efficiency (SE) making them well suited for transmission on practical radar transmitters.

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Constructing Binary Sequences With Good Correlation Properties: An Efficient Analytical-Computational Interplay

Cited by 25 publications

References 55 publications

A Fast Iterative Algorithm to design phase only sequences by minimizing the ISL metric

A Fast Iterative Algorithm to design phase only sequences by minimizing the ISL metric

Designing Binary Sequence Set with Optimized Correlation Properties via ADMM Approach

Transmit waveform design using Multi-Tone Sinusoidal Frequency Modulation

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