Physical waveform optimization for multiple-beam multifunction digital arrays

A non-transitory computer-readable medium storing instructions that, when executed by one or more processors, cause the one or more processors to perform operations comprising:

• determining a set of signals for transmission and a transmission direction for each signal of the set of signals, wherein the set of signals comprise at least a first signal and a second signal, the first signal associated with a first transmission direction and the second signal associated with a second transmission direction that is different from the first transmission direction;
• configuring an optimization problem based on first characteristics of an antenna array and second characteristics of the set of signals, wherein the optimization problem is associated with a far-field radiated emission design and corresponds to minimization of an objective function over a phase vector associated with the set of signals;
• solving the optimization problem to identify a set of waveforms, wherein the set of waveforms comprises at least two waveforms, each of the at least two waveforms corresponding to a different antenna element of the antenna array;
• and
• transmitting the set of waveforms from the antenna elements of the antenna array corresponding to the at least two waveforms, wherein:
• at least a first waveform of the two waveforms comprises a radar waveform,
• at least a second waveform of the two waveforms comprises a communication waveform, and
• the first waveform and the second waveform are transmitted simultaneously.

A system comprising:

• an antenna array comprising a plurality of antenna elements;
• one or more processors configured to:
• determine a set of signals for transmission by the plurality of antenna elements and a transmission direction for each signal of the set of signals, wherein the set of signals comprise at least a first signal and a second signal, the first signal associated with a first transmission direction and the second signal associated with a second transmission direction that is different from the first transmission direction;
• configure an optimization problem based on first characteristics of the antenna array and second characteristics of the set of signals, wherein the optimization problem is associated with a far-field radiated emission design and corresponds to minimization of an objective function over a phase vector associated with the set of signals;
• solve the optimization problem to identify a set of waveforms, wherein the set of waveforms comprises at least two waveforms, each of the at least two waveforms corresponding to a different antenna element of the plurality of antenna elements;
• and
• initiate transmission of the set of waveforms from the antenna elements of the antenna array corresponding to the at least two waveforms, wherein:
• at least a first waveform of the two waveforms comprises a radar waveform,
• at least a second waveform of the two waveforms comprises a communication waveform, and
• the first waveform and the second waveform are transmitted simultaneously.