Sampling-interpolation modulation transfer function as the envelope of the interpolated output

Abraham Friedenberg

doi:10.1117/1.602391

1 February 2000 Sampling-interpolation modulation transfer function as the envelope of the interpolated output

Abraham Friedenberg

Optical Engineering, Vol. 39, Issue 2, (February 2000). https://doi.org/10.1117/1.602391

The combined process of sampling and nonideal interpolation in imaging, which is not a shift-invariant process, is formulated in terms of a modulation transfer function (MTFs-i). This function is defined as the average envelope of the interpolated output at the sampling points, where the input is a sinusoid and the averaging is over the phase shift of the input relative to the sampler grid. This quantity can be useful in approximating spatial variant systems with the convenient notation of shift-invariant systems. The MTFs-i is derived as two cascaded MTFs: the first one, MTFs, accounts for the replicas of the sampled input that remains in the interpolated output, and the second, MTFi, corresponds to the attenuation of the original signal by the interpolation filter. Unlike the current assumption that MTFs is always a lowpass function, it is shown that at high frequency it has a distorted highpass characteristic. Following Michelson's definition for the visibility of fringes, an index of performance associated with the spatial variation of the process is suggested.

Citation Download Citation

Abraham Friedenberg "Sampling-interpolation modulation transfer function as the envelope of the interpolated output," Optical Engineering 39(2), (1 February 2000). https://doi.org/10.1117/1.602391

Published: 1 February 2000

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available