DOI: 10.5176/2251-1911_CMCGS14.36
Authors: R. Ramu Naidu, Phanindra Jampana, Sastry Challa
Abstract: In Compressed Sensing the matrices that satisfy
Restricted Isometry Property (RIP) play an important role. But to
date, very few results for designing such matrices are available. Of
interest in several applications is a matrix whose elements are 00s
and 10s (in short, 0, 1-matrix), excluding column normalization
factors. Recently, R. Devore [9] has constructed deterministic
0, 1-matrices that obey sparse recovery properties such as RIP.
The present work extends the ideas embedded in [9] and shows
that the 0, 1-matrices of different sizes can be constructed using
multivariable homogeneous polynomials.
Keywords: Compressed Sensing Restricted Isometry Property Deterministic construction Multivariable homogeneous polynomials.
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