John J. Benedetto

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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)
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)
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)
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)
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)