Aperture Synthesis due to the Motion of a Single Receiver During Direction Finding of the Narrowband Noise Sources

We consider the possibilities of the aperture synthesis using a single moving receiver during direction finding of the sources emitting a random stationary narrowband signal. It is shown that in this case the coordinates and projections of the source velocities can be determined from the current estimates of the Doppler frequency shift. Using the Cramér–Rao bound, we analyze accuracy of determining the parameters which characterize the rectilinear trajectory of the source during the circumferential receiver motion as functions of the synthetic-aperture size, emittedsignal bandwidth, signal-to-noise ratio, etc. Possible applications of the proposed version of the aperture synthesis in underwater acoustics and radio astronomy are considered.