Scientific Research Publishing

Techniques of Discrete Function Transfers into Continuous Function in Practice ()

One confusing question over a long period of time is how transfer the discrete function transfers into continuous function. Recently the issue has been resolved but some details of the transformation ...
IEEE

Optimal Discrete Gaussian Function: The Closed-Form Functions Satisfying Tao’s and Donoho’s Uncertainty Principle With Nyquist Bandwidth

Abstract: In this paper, closed-form discrete Gaussian functions are proposed. The first property of these functions is that their discrete Fourier transforms are still discrete Gaussian functions ...
Scientific Research Publishing

Continuous-Time and Discrete-Time Singular Value Decomposition of an Impulse Response Function ()

This paper proposes the continuous-time singular value decomposition (SVD) for the impulse response function, a special kind of Green’s functions, in order to find a set of singular functions and ...
IEEE

Discrete-Time Control Barrier Function: High-Order Case and Adaptive Case

Abstract: This article proposes the novel concepts of the high-order discrete-time control barrier function (CBF) and adaptive discrete-time CBF. The high-order discrete-time CBF is used to guarantee ...