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- John J. Benedetto, Matthew C. Fickus
- Adv. Comput. Math.
- 2003

- John J. Benedetto, Özgür Yilmaz, Alexander M. Powell
- 2004 IEEE International Conference on Acoustics…
- 2004

It is shown that sigma-delta (/spl Sigma//spl Delta/) algorithms can be used effectively to quantize finite frame expansions for R/sup d/. Error estimates for various quantized frame expansions are derived, and, in particular, it is shown that /spl Sigma//spl Delta/ quantizers outperform the standard PCM schemes.

Let G be a locally compact abelian group with compact open subgroup H . The best known example of such a group is G = Qp, the field of p-adic rational numbers (as a group under addition), which has compact open subgroup H = Zp, the ring of padic integers. Classical wavelet theories, which require a non-trivial discrete subgroup for translations, do not… (More)

This chapter is an introduction to an open conjecture in time-frequency analysis on the linear independence of a finite set of time-frequency shifts of a given L function. Background and motivation for the conjecture are provided in the form of a survey of related ideas, results, and open problems in frames, Gabor systems, and other aspects of… (More)

Discrete Gabor multipliers are composed of rank one operators. We shall prove, in the case of rank one projection operators, that the generating operators for such multipliers are either Riesz bases (exact frames) or not frames for their closed linear spans. The same dichotomy conclusion is valid for general rank one operators under mild and natural… (More)

\If it is true, it can be proved." | Enrico Fermi ABSTRACT. The Balian{Low theorem (BLT) is a key result in time-frequency analysis, originally stated by Balian and, independently, by Low, as: If a Gabor system fe 2imbt g(t ? na)g m;n2Z with ab = 1 forms an orthonormal basis for L 2 (R), then Z 1 ?1 jtg(t)j 2 dt Z 1 ?1 j ^ g()j 2 dd = +1: The BLT was later… (More)

The second order Sigma-Delta (Σ∆) scheme with linear quantization rule is analyzed for quantizing finite unit-norm tight frame expansions for Rd. Approximation error estimates are derived, and it is shown that for certain choices of frames the quantization error is of order 1/N2, where N is the frame size. However, in contrast to the setting of bandlimited… (More)

- John J. Benedetto, Joseph D. Kolesar
- EURASIP J. Adv. Sig. Proc.
- 2006

Grassmannian frames are frames satisfying a min-max correlation criterion. We translate a geometrically intuitive approach for twoand three-dimensional Euclidean space (R2 andR3) into a new analytic method which is used to classify many Grassmannian frames in this setting. The method and associated algorithm decrease the maximum frame correlation, and hence… (More)

- Stephen H Rosenoff, Nashat Y Gabrail, +8 authors Lowell B. Anthony
- The journal of supportive oncology
- 2006

Diarrhea is a well-recognized side effect of chemotherapy and can result in chemotherapy delay and/or dose reduction, potentially reducing the therapeutic benefit of treatment. Octreotide has been shown to be effective in controlling chemotherapy-induced diarrhea (CID). In this open-label, randomized, multicenter study, designed to asses the effects of two… (More)

- Andrew Kebo, Ioannis Konstantinidis, John J. Benedetto, Michael Dellomo, Jeffrey M. Sieracki
- 2007

CAZAC (Constant Amplitude Zero AutoCorrelation) sequences are important in waveform design because of their optimal transmission efficiency and tight time localization properties. Certain classes of CAZAC sequences have been used in Radar processing for many years while recently discovered sequences invite further study. This paper compares several classes… (More)