Ultra-low sidelobe constant modulus waveform design method

Abstract

Provided is an ultra-low sidelobe constant modulus waveform design method. The ultra-low sidelobe constant waveform design method includes the following steps of 1. generating a uniformly distributedsequence satisfying the constant modulus requirements and calculating the autocorrelation function of each item in the sequence to achieve the pulse auto-correlation of the sequence; 2. introducing anauxiliary variable to establish a non-convex optimization model for the pulse auto-correlation sequence obtained in step 1; and 3. solving the non-convex optimization model by means of the alternative direction multiplier method to obtain the target constant modulus waveform sequence. The established non-convex model is solved by the alternative direction multiplier method, the desired waveform sequence is generated by continuous iteration, the sequence x is subjected to rapid Fourier transform in the algorithm iteration, the iteration speed of the algorithm is accelerated, and a radar waveform with low sidelobe and good convergence can be rapidly designed.

Description

technical field [0001] The invention belongs to the technical field of radar waveform design, and relates to an ultra-low sidelobe constant modulus waveform design method. Background technique [0002] Radar waveform design is the primary problem to be solved in wideband MIMO radar systems. For MIMO radar wideband signals, it is generally required that the autocorrelation function of each radar transmit signal has narrow main lobe and low side lobe characteristics. For the problem of waveform design, many scholars have proposed different design methods from different aspects. A large number of literatures have systematically studied the problem of waveform design, focusing on random phase constant modulus waveforms with lower autocorrelation function sidelobe levels. There is the PeCAN method , MISL method, LPNN method, etc. Utilize PeCAN method, MISL method and LPNN method to design radar waveforms, the lowest sidelobe that can be achieved is around -280dB, around -220dB, a...

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Problems solved by technology

For the problem of waveform design, many scholars have proposed different design methods from different aspects. A large number of literatures have systematically studied the problem of waveform design, focusing on random phase constant modulus waveforms with lower autocorrelation function sidelobe levels. There is the PeCAN method , MISL method, LPNN method, etc. Utilize PeCAN method, MISL method and LPNN method to design radar waveforms, the lowest sidelobe that can be achieved is around -280dB, around -220dB, around -150dB, and adopts the radar waveform obtained by the present invention Sequence, the lowest side lobe is around -330dB, which obviously has lower side lobes, and now radar waveforms have higher and higher requirements for low side lobes, and the waveforms obtained by these algorithms are difficult to meet the requirements

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