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We analyze the signal to noise ratio (SNR) in a lensless compressive imaging(LCI) architecture. The architecture consists of a sensor of a single detectingelement and an aperture assembly of an array of programmable elements. LCI canbe used in conjunction with compressive sensing to capture images in acompressed form of compressive measurements. In this paper, we perform SNRanalysis of the LCI and compare it with imaging with a pinhole or a lens. Wewill show that the SNR in the LCI is independent of the image resolution, whilethe SNR in either pinhole aperture imaging or lens aperture imaging decreasesas the image resolution increases. Consequently, the SNR in the LCI is muchhigher if the image resolution is large enough.

Signal to Noise Ratio in Lensless Compressive Imaging