A network of linear systems whose inputs are nearfield pressures measured on the surface of a sphere and whose summed output is the desired farfield pressure has been simulated on the digital computer. The transfer functions for these linear systems were calculated from the normal derivative of the Green's function of the scalar wave equation as suggested by Ferris [J. Acoust. Soc. Am. 38, 933(A) (1965)]. These “Green's transfer” functions have a particularly satisfying physical realization. They consist of time delays plus amplitude shading. They have a linear frequency dependence and no theoretical bandwidth limitation. Patterns of an infinitesimal dipole source have been calculated, using the Green's transfer functions to determine the accuracy of their farfield predictions. Errors in this pattern were determined as functions of frequency, probe spacing, and the angle between radius vectors to the nearfield and farfield points. The reciprocal nature of the measuring system was investigated by using it as a source and calculating its ability to produce a plane wave inside the measuring surface. [Work supported by U. S. Navy Bureau of Ships.]