Abstract
Simultaneous polarimetric radar transmits a pair of orthogonal waveforms both of which must have good auto- and cross-correlation properties. Besides, high Doppler tolerance is also required in measuring the highly maneuvering targets. A new method for the design of sequences with good correlation and Doppler properties is proposed. We formulate a fourth-order polynomial, but unconstrained, minimization problem. An iterative algorithm based on the gradient method on the phases is applied to solve it. Numerical results demonstrate the superiority of the proposed algorithm compared to the previous state-of-the-art method.
Highlights
In recent years, the simultaneous polarimetric scheme has been widely used to obtain accurate polarization features, which can be described by a second-order polarization scattering matrix (PSM), of targets [1,2,3,4]
In this article, based on the gradient method shown in [18,27], we propose a new cyclic algorithm that can design sequences with good correlation properties and with high Doppler tolerance
A pair of constant modulus sequences used for simultaneous polarimetric radar can be written as sH ( t ) = √
Summary
The simultaneous polarimetric scheme has been widely used to obtain accurate polarization features, which can be described by a second-order polarization scattering matrix (PSM), of targets [1,2,3,4]. Following a similar line of derivation, Stoica et al proposed a series of four algorithms containing CAP, CAN, WeCAN and CAD [17], which are based on the minimization of ISL with high computational efficiency These procedures can optimize the specified part of the correlation function. Even if the target velocity is low, the PSL and Isolation of the waveforms will seriously deteriorate compared with the same metrics of the static target’s echoes Focusing on this problem, Pezeshki et al investigated the Doppler tolerant waveforms designing problem for the polarimetric radar [20,21,22]. In this article, based on the gradient method shown in [18,27], we propose a new cyclic algorithm that can design sequences with good correlation properties and with high Doppler tolerance. Re ( a) represents the real part of the scalar a and Tr (A) denotes the trace of the matrix A
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