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)
Extracellular electron transfer can play an important role in microbial respiration on insoluble minerals. The humic acid analog anthraquinone-2,6-disulfonate (AQDS) is commonly used as an electron shuttle during studies of extracellular electron transfer. Here we provide genetic evidence that AQDS enters Shewanella oneidensis strain MR-1 and causes cell(More)
An effective approach is proposed for designing higherorder differentiators by the eigenfilter method. By minimizing a quadratic measure of the error in the frequency band, an eigenvector of an appropriate matrix is computed to get the filter coefficients. This method is not only simple and fast, but also optimal in the least squares sense. Comparison to(More)
A powerful eigenfilter approach is proposed to determine the optimal coefficients of McClellan transformation. It can design arbitrary shape transformation contours to map from 1-D prototypes to 2-D FIR filters very effectively. This paper presents the design methods for 2-D fan filters with general slope and inclination angle, elliptically symmetric(More)
Since the real coefficients of a FIR filter with arbitrary complex-valued desired frequency responses are neither symmetric nor antisymmetric, the Remez exchange algorithm cannot be applied directly. The problem can be solved by dividing the original complex approximation into two real ones such that the Remez exchange algorithm can be applied by slightly(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)