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Abstract: Computing the rate-distortion function for continuous sources is commonly regarded as a standard continuous optimization problem. When numerically addressing this problem, a typical approach ...

Abstract: The idea of generalized Fresnel functions, which traces back to expressing a discrete transform as a linear convolution, is developed in this paper. The generalized discrete Fresnel ...

This paper presents an approach for representing functions of discrete variables, and their products, using logarithmic numbers of binary variables. Given a univariate function whose domain consists ...

This paper is an expository survey of results on integral representations and discrete sum expansions of functions in L 2 (R) in terms of coherent states. Two types of coherent states are considered: ...

We can compare discrete and continuous data by looking at how water comes out of a tap. A dripping tap shows discrete data, because each individual drop can be counted. The data collected will simply ...

An extension to numpy using discrete fourier transforms to compute the curl of 2D and 3D functions. This produces results far more accurate than using 10th-order finite difference derivatives (which ...