An apparatus for estimating a property of an earth formation having: a plurality of receiver antennas to receive nuclear magnetic resonance (NMR) signals from a plurality of angular segments in a region of investigation in response to an interaction between a static magnetic field and pulses of electromagnetic energy; and a processor configured to: receive the NMR signals from each receiver antenna, the NMR signals having first NMR signals received from each angular segment by only one receiver antenna and second NMR signals received from a same angular segment by at least two receiver antennas; associate the first NMR signals and the second NMR signals with the angular segment from which the first NMR signals and the second NMR signals were obtained; deconvolve the second NMR signals to produce deconvolved NMR signals; and estimate the property from the first NMR signals, the deconvolved NMR signals, and the associated angular segments.