When Ramanujan sums meet affine Fourier transform

Author:

Miao HongxiaORCID,Zhang Feng,Tao Ran,Peng MugenORCID

Funder

National Natural Science Foundation of China

Beijing Municipal Science and Technology Commission

National Key Research and Development Program of China

Publisher

Elsevier BV

Subject

Electrical and Electronic Engineering,Computer Vision and Pattern Recognition,Signal Processing,Software,Control and Systems Engineering

Reference52 articles.

1. On certain trigonometric sums and their applications in the theory of numbers;Ramanujan;Transactions of the Cambridge Philosophical Society,1918

2. Ramanujan sums in the context of signal processing-Part i: fundamentals;Vaidyanathan;IEEE Trans. Signal Process.,2014

3. Ramanujan sums in the context of signal processing-part II: FIR representations and applications;Vaidyanathan;IEEE Trans. Signal Process.,2014

4. A.J. Hildebrand, Introduction to analytic number theory, http://www.math.uiuc.edu/~hildebr/ant 1–197(2013).

5. Multidimensional inverse lattice problem and a uniformly sampled arithmetic Fourier transform;Chen;Phys. Rev. E,1997

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