SAMPLING RATE AND ACCURACY TRADE-OFFS IN SIGNAL RECOVERY

In contrast to common practice which often treats sampling and quantization separately, we explicitly focus on the interplay between limited spatial resolution and limited amplitude accuracy. We show that in certain cases, sampling at rates different than the Nyquist rate is more efficient when limited accuracy of the samples are also taken into account. We find the optimal sampling rates, and the resulting trade-off curves between the error and the accuracy of the measurements.

Publications:

A. Özçelikkale and H. M. Ozaktas, “Beyond Nyquist Sampling: A Cost-Based Approach,” J. Opt. Soc. Am. A, vol.30, no.4, pp.645-655, Apr. 2013.

A. Özçelikkale and H. M. Ozaktas, “Optimal representation of non-stationary random fields with finite numbers of samples: A linear MMSE framework,” Digital Signal Process., vol.23, no.5, pp.1602-1609, Sep. 2013.

A. Özçelikkale and H. M. Ozaktas, “Representation of optical fields using finite numbers of bits,” Opt. Lett., vol. 37, pp. 2193–2195, June 2012.

A. Özçelikkale, H. M. Ozaktas, and E. Arıkan, “Signal recovery with cost constrained measurements,” IEEE Trans. Signal Process., vol. 58, no. 7, pp. 3607–3617, Jul. 2010.