Convolution Idempotents with a given Zero-set

Siripuram, Aditya and Osgood, Brad (2020) Convolution Idempotents with a given Zero-set. arXiv.org.

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Abstract

We investigate the structure of N-length discrete signals h satisfying h ∗ h = h that vanish on a given set of indices. We motivate this problem from examples in sampling, Fuglede’s conjecture, and orthogonal interpolation of bandlimited signals. When N = p M is a prime power, we characterize all such h with a prescribed zero set in terms of basep expansions of nonzero indices in F − 1 h

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IITH Creators:
IITH CreatorsORCiD
Siripuram, AdityaUNSPECIFIED
Item Type: Article
Subjects: Electrical Engineering
Divisions: Department of Electrical Engineering
Depositing User: Team Library
Date Deposited: 13 Jan 2020 11:50
Last Modified: 13 Jan 2020 11:50
URI: http://raiith.iith.ac.in/id/eprint/7317
Publisher URL: https://arxiv.org/abs/2001.00739v1
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