Multi-input Multi-output Waveform Optimization for Synthetic Aperture Sonar

摘要

The important part to any multi-input and multi-output (MIMO) system is the set of signals. These signals must be designed so that they can be simultaneously transmitted and received with minimal signal-to-signal interference and low spatial ambiguity. In addition, the signals must adhere to strict time and bandwidth constraints. To achieve this, we use the prolate spheroidal wave functions (PSWFs) as the basis functions for the approximate signals. Then, we define a cost function on the oblique manifold and use known Riemannian steepest descent to find the coefficients of the signals so that the output signals satisfy the MIMO design criteria.