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On the Eigenvalues of Matrices for the Reconstruction of Missing Uniform Samples

✍ Scribed by Karthik, M.; Prabhu, K.M.M.


Book ID
119823443
Publisher
IEEE
Year
2010
Tongue
English
Weight
357 KB
Volume
58
Category
Article
ISSN
1053-587X

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We consider matrices containing two diagonal bands of positive entries. We show that all eigenvalues of such matrices are of the form rΞΆ , where r is a nonnegative real number and ΞΆ is a pth root of unity, where p is the period of the matrix, which is computed from the distance between the bands. We