We present the role that spectral methods play in the development of the most impressive quantum algorithms, such as the polynomial time number factoring algorithm by Shor. While ...
The Fast Fourier Transform (FFT) allows the Discrete Time Fourier Transform (DTFT) to be efficiently sampled on a uniform grid in frequency. In many applications, including Magnet...
For the non-local denoising approach presented by Buades et al., remarkable denoising results are obtained at high expense of computational cost. In this paper, a new algorithm th...
Jin Wang, Yanwen Guo, Yiting Ying, Yanli Liu, Quns...
Let Sn denote the symmetric group on {1, . . . , n} and Sn-1 the stabilizer subgroup of n. We derive algorithms for computing Fourier transforms of left and right Sn-1-invariant s...
Fast Fourier Transform (FFT) is one of the most widely used algorithms in digital signal processing. It is used in many signal processing and communication applications. many of t...