Constrained optimal design of automotive radar arrays using the Weiss-Weinstein Bound

Abstract

We propose a design strategy for optimizing antenna positions in linear arrays for far-field Direction of Arrival (DoA) estimation of narrow-band sources in collocated MIMO radar. Our methodology allows to consider any spatial constraints and number of antennas, using as optimization function the Weiss-Weinstein bound formulated for an observation model with random target phase and known SNR, over a pre-determined Field-of-View (FoV). Optimized arrays are calculated for the typical case of a 77GHz MIMO radar of 3Tx and 4Rx channels. Simulations demonstrate a performance improvement of the proposed arrays compared to the corresponding uniform and minimum redundancy arrays for a wide regime of SNR values.

Adaptive transmission for radar arrays using Weiss–Weinstein bounds

“…(The derivation follows along the same lines as the derivation of the expression for the complex Gaussian likelihood integral in (27).) We thus find the expression The optimization (15) is for h ∈ R q−1 × [0, 2π] since the symmetry ξ(v,ṽ) = ξ(−v, −ṽ) noticed in Remark 4 is evident from (33).…”

“…This metric can be used both for adaptation of transmission variables and for optimal design of constrained sparse arrays and sampling schemes (cf. [33]).…”

“…Here we give explicit formulas for the WWB in (12) for Gaussian and uniform priors providing expressions for (14). These priors can be applied to design problems, such as array design, where the parameter of interest is assumed in a given interval or Field-of-View [33]. In this work, we use them in our Bayesian adaptive algorithm to approximate the outcome of the particle filter and accelerate the computations of the controller.…”

SASA: Super-Resolution and Ambiguity-Free Sparse Array Geometry Optimization With Aperture Size Constraints for MIMO Radar

“…In [14] and [15], to achieve a better DoA accuracy without angular ambiguity, the SLL of AAF and the Cramér-Rao bound (CRB) are used as metrics to optimize the array geometry. Considering an observation model with a random target phase and known SNR, a constrained optimal design method using the Weiss-Weinstein bound is proposed in [19], while a genetic algorithm (GA) [16], [17] is used to search for the optimal antenna placement by maximizing the area of the ambiguity-free region defined by AAF. Furthermore, the latter method is extended to the 2-D MIMO array in [18].…”