Quantization noise: An additional constraint for the extended sampling theorem

Kelly, Damien P.; Pandey, Nitesh; Hennelly, Bryan M.; Naughton, Thomas J.

doi:10.1364/dh.2009.dwb12

Cited by 1 publication

(2 citation statements)

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“…The effect of the pixel extent, and the associated convolution operation, is to attenuate the spatial frequency content in the FT plane of our capture LCT domain. Indeed signal power located at k = n/(2γ) is entirely removed, where n is a positive integer [10,47]. If it were possible to design a camera by combining pixels of different widths, it may be possible to overcome this limitation [10], although other fundamental limits do exist [47].…”

Section: Active Pixel Areamentioning

confidence: 99%

“…Indeed signal power located at k = n/(2γ) is entirely removed, where n is a positive integer [10,47]. If it were possible to design a camera by combining pixels of different widths, it may be possible to overcome this limitation [10], although other fundamental limits do exist [47]. Assuming FF = 1, the first spatial frequency suppressed would be k = 1/(2γ) = 1/T = 2 f NQ .…”

Section: Active Pixel Areamentioning

confidence: 99%

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Quantifying the 2.5D imaging performance of digital holographic systems

Kelly¹,

Healy²,

Hennelly³

et al. 2011

J. Eur. Opt. Soc.-Rapid Publ.

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Digital holographic systems are a class of two step, opto-numerical, pseudo-three-dimensional imaging techniques. The role of the digital camera in limiting the resolution and field of view of the reconstructed image, and the interaction of these limits with a general optical system is poorly understood. The linear canonical transform describes any optical system consisting of lenses and/or free space in a unified manner. Expressions derived using this transform are parametrised in terms of the parameters of the optical system, as well as those of the digital camera: aperture size, pixel size and pixel pitch. We develop rules of thumb for selecting an optical system to minimise mean squared error for given input and digital camera parameters. In the limit, our results constitute a point spread function analysis. The results presented in this paper will allow digital holography practitioners to select an optical system to maximise the quality of their reconstructed image using a priori knowledge of the camera and object.

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