Let $ G $ be a finite abelian group, and let $ f: G\to\C $ be a complex function on $ G $. The
uncertainty principle asserts that the support $\supp (f):=\{x\in G: f (x)\neq 0\} $ is related to …

Classical and recent results on uncertainty principles for functions on finite Abelian groups
relate the cardinality of the support of a function to the cardinality of the support of its Fourier …

Given a narrow signal over the real line, there is a limit to the localisation of its Fourier
transform. In spaces of prime dimensions, Tao derived a sharp state-independent …

Systems of MDS codes from units and idempotents - ScienceDirect Skip to main contentSkip
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We study the problem of interpolating all values of a discrete signal f of length N when d<; N
values are known, especially in the case when the Fourier transform of the signal is zero …

Good cyclic codes and the uncertainty principle Page 1 L’Enseignement Mathématique (2) 63
(2017), 305–332 DOI . /LEM/ - / - Good cyclic codes and the uncertainty principle Shai E …

Sensor arrays with simple geometries play an important role in solving direction of arrival
estimation and source separation problems. To reduce the number of sensors used …

GROUP RINGS FOR COMMUNICATIONS Communicated by Victor Bovdi 1. Abstract algebra
Abstract algebraic structures are fundamental bu Page 1 www.theoryofgroups.ir International …

Algebraic methods for the design of series of maximum distance separable (MDS) linear
block and convolutional codes to required specifications and types are presented …

Let G be a finite abelian group. If f: G→ C is a nonzero function with Fourier transform f, the
Donoho-Stark uncertainty principle states that| supp (f)|| supp (f̂)|≥| G|. The purpose of this …