Optimization of Orthogonal MSK Waveforms for Active Sonar Using Genetic Algorithm
Dali Liu*1,*2, Lei Li*3, and Xinhong Chen*4
*1School of Electrical Engineering and Automation, Tianjin Polytechnic University
No.399, BinShui West Road, XiQing District, Tianjin 300387, China
*2State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences
No. 21, North 4th Ring Road, Haidian District, Beijing 100190, China
*3Physical Engineering School, Zhengzhou University
No.100 Science Avenue, Zhengzhou City, Henan 450001, China
*4Tianjin Railway Technical and Vocational College
No.21 Jianchang Road, Hebei District, Tianjin 300240, China
In order to solve the high peak to average power ratio (PAPR) problem of pseudo random code phase modulation (PRCPM) signals, minimum shift keying (MSK) modulation waveforms with constant envelope were introduced into underwater detection. Genetic algorithm (GA) was proposed to optimize pseudo random binary codes used for MSK waveforms, in order to design sonar waveforms with various performances. After MSK complex envelope signal was obtained by theoretical analysis, the optimizing objective functions for a single waveform and a group of waveforms were presented. The optimized single waveform with low autocorrelation sidelobe values can reduce false alarm number and the difficulty of target decision. When multiple sonar systems work as a team, the optimized group of orthogonal waveforms with low autocorrelation sidelobe values and cross-correlation values can alleviate interferences between each other. In the simulation, the correlation performances of a single waveform and a group of orthogonal waveforms were presented, and ambiguity function showed that the designed waveforms had good velocity and distance resolution, which means that the optimized MSK waveforms are suitable for underwater detection.
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