Convex optimisation based transmit beampattern synthesis for MIMO radar

What is it about?

A multiple input multiple output (MIMO) radar allows its antenna elements to transmit multiple signal waveforms. This waveform diver- sity offers enhanced flexibility in transmit beampattern synthesis and signal design. Two algorithms where the transmit is synthesised beam- pattern by optimising transmitted signal covariance matrix is proposed. In the first algorithm, a method to achieve a desired beampattern by reformulating the design problem as an unconstrained semi-definite programming problem is proposed. Second, a method for beampattern synthesis such that the cross correlation beampattern, which is the cor- relation between the signals at different target locations, is minimised and at the same time the sidelobe levels are constrained to be lower than a threshold value proposed. These design problems are modelled as convex optimisation problem and are solved using Matlab based toolbox CVX.

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