Multidimensional matched filters

This paper is concerned with the design of m-D (multidimensional) matched filters. First, the basic stochastic signal concepts are extended to the m-D case. Among these concepts are the correlation matrix, the Fourier transform, the power spectral density and the transmission of an m-D signal through an m-D linear system. Then, the m-D matched filter design is considered and solved. As in the 1-D case, the m-D matched filter impulse response is found to be identical with the reflected and delayed m-D input signal f(n).