Deterministic estimation of two-dimensional signals

A technique for spectral estimation given a finite number of measurements of a two-dimensional band-limited signal of time t and space x is used on signals which are transient propagating waves, The theory of optimal estimation for deterministic signals is presented in two-dimensions for signals which are assumed to be contained in a wedge-shaped region of the two-dimensional frequency plane. We also consider samples which contain errors. An example with exact signal samples shows a spectral estimate with all the basic features of our test signal. After adding noise to this signal, we encounter more difficulties in recovering the original spectrum.