Jong-Jy Shyu

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—This paper is concerned with the definitions of the discrete fractional Hartley transform (DFRHT) and the discrete fractional Fourier transform (DFRFT). First, the eigenvalues and eigenvectors of the discrete Fourier and Hartley transform matrices are investigated. Then, the results of the eigendecompositions of the transform matrices are used to define(More)
There exists a close relationship among digital one/half band filters, low/high order different iators and di screte/different i at ing Hilbert transformers. The purpose of this paper is to present a complete picture of their interrelationships and conversions between each other. A useful table and some block diagrams have been developed for their impulse(More)
—In this letter, an iterative weighted least-squares (LS) approach is proposed for the design of variable fractional-delay (VFD) finite impulse response (FIR) digital filters in minimax sense. For deriving the elements of relevant matrices, there is no need for numerical integration or closed-form formulation and they obey given specifications. Comparing(More)
Keywords: Variable fractional-order differintegrator FIR digital filter Digital differentiator Digital integrator Weighted-least-squares approach a b s t r a c t In the paper, a new method is proposed for the design of variable fractional-order (VFO) FIR differintegrators. Comparing with the existing methods, the elements of relevant matrices can be(More)