MIMO Radar Waveform Design for Quasi-Equiripple Transmit Beampattern Synthesis via Weighted $l_p$-Minimization

Joint Design of Colocated MIMO Radar Constant Envelope Waveform and Receive Filter to Reduce SINR Loss

“…In terms of analyzing the constraints of the waveform design, if the designed waveform only considers the application of energy constraints [ 14 , 19 , 20 , 23 , 24 ], the generated non-constant envelope waveform will cause the nonlinear distortion of the transmitter [ 23 ], and it is not ideal in some waveform characteristics. Therefore, this article requires that the modulus value of each element of the waveform must be a constant (i.e., constant envelope constraint), , where represents the modulus of each transmit waveform normalized by the total emission energy.…”

“…The transmit covariance matrix has interference suppression, reduces SINR loss, and the waveform has a constant envelope characteristic. In [ 8 , 9 , 10 , 19 , 20 ], the waveform design of the transmit beampattern is studied. It should be noted that in a complex and multi-interference environment, this type of waveform design method that only optimizes the transmitter does not make full use of the degrees of freedom of the receiver [ 21 , 22 ].…”

“…However, in [ 14 , 19 , 20 , 23 , 24 , 29 ], the waveform optimization problem established adopts energy constraint, which cannot give full play to the amplifier’s maximum performance and reduce the output SINR. In [ 1 , 14 , 15 , 17 , 20 , 21 , 23 , 25 , 27 , 33 , 34 , 36 ], etc., pulse compression and ambiguity characteristics of the waveform are not taken into account, and the solution of [ 14 , 19 , 23 ] cannot guarantee global optimization. Therefore, the performance of the system can be improved through the design of the joint transmit waveform and receive filter based on semidefinite programming.…”

“…Moreover, the designed waveform usually imposes some constraints on the waveform in actual engineering applications, for example, constant envelope constraint [ 3 , 8 , 9 , 10 , 11 , 12 , 16 , 18 , 21 , 27 , 30 , 32 , 34 , 35 , 36 , 38 , 50 ], PAR constraint [ 8 , 9 , 19 , 35 , 47 ], similarity constraint [ 11 , 16 , 29 , 43 , 50 , 51 ] or sidelobe constraint [ 15 , 21 , 22 , 30 , 32 , 33 , 38 , 47 , 50 ]. The constant envelope constraint is more stringent than the PAR constraint because most radar transmitters use nonlinear power amplifiers, which usually work in a saturated state, and the amplitude of the waveform is required to be constant.…”

Fast Transmit Beamforming for Large Planar MIMO Radar

“…where ψ ψ ψ denotes the direction vector, and a a a(ψ ψ ψ) is the steering vector. The power of the transmitted signal focused at a generic focal point with coordinates ψ ψ ψ is modeled [6,7] by…”