Spatio-Spectral Radar Beampattern Design for Co-existence with Wireless Communication Systems

TL;DR

This paper presents a novel method for designing MIMO radar beampatterns that co-exist with wireless communication systems by jointly managing spatial and spectral energy, ensuring spectral constraints and constant modulus conditions.

Contribution

A new approach using constrained quadratic programs with closed-form solutions for joint spectral and spatial beampattern design in MIMO radar.

Findings

BIC algorithm closely matches ideal beampatterns.

Effective spectral shaping with interference control.

Outperforms existing MIMO beampattern techniques.

Abstract

We address the problem of designing a transmit beampattern for multiple-input multiple-output (MIMO) radar considering co-existence with wireless communication systems. The designed beampattern is able to manage the transmit energy in spatial directions as well as in spectral frequency bands of interest by minimizing the deviation of the designed beampattern versus a desired one under a spectral constraint as well as the constant modulus constraint. While unconstrained beampattern design is straightforward, a key open challenge is jointly enforcing the spectral constraint in addition to the constant modulus constraint on the radar waveform. A new approach is proposed in our work, which involves solving a sequence of constrained quadratic programs such that constant modulus is achieved at convergence. Further, we show that each problem in the sequence has a closed form solution leading to analytical tractability. We evaluate the proposed beampattern with interference control (BIC) algorithm against the state-of-the-art MIMO beampattern design techniques and show that BIC achieves closeness to an idealized beampattern along with desired spectral shaping.