Consider the Vandermonde-like matrix P := (Pk(cos jπ N ))N j,k=0, where the polynomials Pk satisfy a three-term recurrence relation. If Pk are the Chebyshev polynomials Tk, then P...
The spectral method with discrete spherical harmonics transform plays an important role in many applications. In spite of its advantages, the spherical harmonics transform has a dr...
In this paper, we explore fast algorithms for computing on encrypted polynomials. More specifically, we describe efficient algorithms for computing the Discrete Fourier Transform,...
Abstract—This paper presents a systematic methodology to derive and classify fast algorithms for linear transforms. The approach is based on the algebraic signal processing theor...
: In this letter, an efficient algorithm for three-dimensional (3-D) vector radix decimation in frequency is derived for computing the type-III 3-D discrete W transform (DWT). Comp...