Two Dimensional Efficient Multiplier-Less Structures of Möbius Function for Ramanujan Filter Banks
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DOI: 10.1109/tsp.2020.3021245
Abstract: Ramanujan's sum has been recently applied to detect different periodic components in 2D image. By filtering in frequency domain and obtaining the least common multiplier (lcm) of periodicity matrices, the basic 2D periodic pattern can… read more here.
Keywords: multiplier less; dimensional efficient; bius function; ramanujan ... See more keywords
Integral and series representations of q-Polynomials and functions: Part III theta, Ramanujan and q-Bessel functions
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DOI: 10.1142/s0219530521500093
Abstract: In this paper, we use an identity connecting a modified q-Bessel function and a 1ϕ1 function to give m-versions of entries in the Lost Notebook of Ramanujan. We also establish an identity which giv... read more here.
Keywords: integral series; functions part; polynomials functions; representations polynomials ... See more keywords