In the present paper, we define generalized Kwang-Wu Chen matrix. Basic properties of this generalization, such as explicit formulas and generating functions are presented. Moreover, focus on a new class Fubini polynomials. Then discuss their relationship with other polynomials Fubini, Bell, Eulerian Frobenius-Euler We have also investigated some basic related to degenerate

This paper presents a fast algorithm along with its systolic array implementation for computing the 1-D Npoint discrete cosine transform (DCT), where N is a power of two. The architecture requires log,N multipliers and can evaluate one complete N-point DCT every N clock cycles. It possesses the features of regularity and modularity, and is thus well suited to VLSI implementation. As compared to...

This paper presents a novel VLSI architecture for computing the N-point discrete Fourier transform (DFT) based on a radix-2 fast algorithm, where N is a power of two. The architecture consists of one complex multiplier, two complex adders, and some special memory units. It can compute one transform sample every log2N+1 clock cycles in average. For the case of N=512, the chip area required is ab...

An analytic approach for the generation of non-periodic and periodic complementary sequences is advanced for lengths that are powers of two. The periodic complementary sequences can be obtained using symmetric or anti-symmetric extensions. The properties of their autocorrelation functions are studied. The non-periodic complementary sequences are the intersection between anti-symmetric and symme...

where f is an unknown function, and the ei's are noise. Our goal is to recover f using wavelet methods. We shall assume that n = 2 is an integer power of 2, and consider both the cases of independent and correlated noise. Let f = (f0; : : : ; fn 1) T , y = (y0; : : : ; yn 1) T and W be the discrete wavelet transform (DWT) matrix (e.g., see Donoho & Johnstone 1994). A wavelet{based estimate f̂ of...

AbstructWe consider a multidimensional parameter space formed by inner products of a parameterizable family of chirp functions with a signal under analysis. We propose the use of quadratic chirp functions (which we will call q-chirps for short), giving irise to a parameter space that includes both the time-frequency plane and the time-scale plane as 2-D subspaces. The parameter space contains a...