Abstract

Abstract : In this dissertation, the design of transmit and processing waveforms is used to maximize the signal-to-interference ratio (SIR) to improve the detectability of a doubly spread target return in the presence of volume and/or surface reverberation plus white Gaussian noise. The SIR is dependent upon target and reverberation scattering functions and the cross-ambiguity function of the transmit and processing waveforms. Volume reverberation, target, and surface reverberation scattering functions are derived. Volume reverberation is modelled as the spatially uncorrelated scattered field from randomly distributed point scatterers in deterministic plus random translational motion. A single scattering approximation is used and general, frequency dependent transmit and receive arrays are included in all derivations. The doubly spread target is modelled as a linear array of discrete highlights in deterministic translational motion. A target scattering function is obtained from the general bistatic volume reverberation scattering function by appropriately specifying the volume density function of the discrete point scatterers for a monostatic geometry.

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