A pair of co-prime receiving arrays with sparse inter-element spacing is capable of sampling a wide sense stationary signal at a set of points more densely relative to the element spacing. The properties of co-prime arrays make them attractive options for use in radar systems. In this paper, two-dimensional lattices are generated from a pair of co-prime matrices with array elements placed on these lattices. The transmission, reflection off of a target, and reception of signals by these arrays were simulated for both narrowband and wideband signals. Two waveform types were simulated. These include band-limited Gaussian noise, along with chirp waveforms so that the noise waveform performance could be assessed relative to a more traditional radar waveform. Several parameters were tested to measure the performance of the co-prime sensing arrays for the two signal types. First, the peak cross-correlation between the transmitted and received signals was studied over a range of signal bandwidths. Additionally, the quality of the arrays' estimation of the incidence direction of arrival (DOA) was determined. It was found that the band-limited noise waveforms demonstrated comparable performance to chirp signals with equivalent bandwidth. Additionally, it was found that multi-dimensional co-prime arrays were able to generate very accurate DOA estimations for both signal types.