K. Cheung and R. Marks, "Image sampling below the Nyquist density without aliasing," J. Opt. Soc. Am. A, vol. 7, no. 1, pp. 92--105, January 1990.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....and uniformly sampled versions of a single input signal. In other words, this is precisely Papoulis generalized sampling [13] Additionally, if the channel filters are chosen to be pure delays, one obtains multicoset or periodic nonuniform sampling of the input which has been widely studied [14 25], as it allows us to approach the Landau minimum sampling for multiband signals [26] Seidner and Feder [27] provide a natural generalization of Papoulis sampling expansions for a vector inputs whose components are bandlimited to . Their sampling scheme is clearly a special case of ....

K. Cheung and R. Marks, "Image sampling below the Nyquist density without aliasing," J. Opt. Soc. Am. A, vol. 7, no. 1, pp. 92--105, January 1990.

....to the form of , where . Given the obvious advantages of such reduced sampling rates (by, e.g. a factor of 10 in one of the examples in this paper) one would expect extensive use and applications of these methods. However, a very high sensitivity to errors has been observed in some cases [9], 12] In fact, it turns out that unless the sampling and reconstruction system is very carefully designed and optimized, the sensitivity to small errors can be so great that although perfect reconstruction is possible with perfect data, the signal is corrupted beyond recognition in most ....

K. Cheung and R. Marks, "Image sampling below the Nyquist density without aliasing," J. Opt. Soc. Amer. A, Jan. 1990.

....scheme, which is essentially a filter bank, is more general than nonuniform sampling since their analysis filters are not required to be simple delays. They express the reconstruction as the solution to a matrix equation, but do not provide an explicit interpolation formula. Cheung and Marks [9], 10] showed that multicoset sampling allows sampling of two dimensional (2 D) signals below their Nyquist density. A similar treatment for one dimensional (1 D) and 2 D signals was done by Feng and Bresler [11] and Bresler and Feng [12] respectively, in the broader context of spectrum blind ....

K. Cheung and R. Marks, "Image sampling below the Nyquist density without aliasing," J. Opt. Soc. Amer. A, 1990.

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K. Cheung and R. Marks, "Image sampling below the Nyquist density without aliasing," J. Opt. Soc. Am. A, vol. 7, no. 1, pp. 92--105, January 1990.

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