Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis

Abstract EN

Array synthesis with embedded element patterns is a problem of great practical importance.

In thispaper, an array pattern synthesis method using scalable alternating projection and proximal splitting isproposed which considers the scaling invariance property of design specifications and constraints forthe amplitudes of pattern and excitation.

Under the framework of alternating projection, the scalablepattern and excitation constraint sets are first defined.

Then the scalable pattern projection and iterativeprocedure for optimum pattern scaling factor are studied in detail.

For the scalable excitation projection,it is designed as the solution to a constrained weighted least mean squares optimization, which can besolved by an effective forward-backward splitting iterative process.

Finally, the selection of the weightedmatrix and computational complexity are discussed briefly.

Several typical linear and planar synthesisexamples with or without the embedded element patterns are provided to demonstrate the effectivenessand power of the proposed method.