Incoherence is sufficient for statistical rip of unit norm tight frames: constructions and properties

P Sasmal, CR Murthy - IEEE Transactions on Signal Processing, 2021 - ieeexplore.ieee.org
In this work, we show that the incoherence alone is sufficient to establish the statistical
restricted isometry property (StRIP) and statistical incoherence property (SInCoP) for unit …

Deterministic construction of unimodular tight frames consisting orthogonal blocks via block preserving operators

P Pradhan, SK Jain, P Sasmal, R Randhi - Signal Processing, 2025 - Elsevier
A highly redundant incoherent unimodular tight frame (UMTF) finds desirability across
various fields, including quantum communications and signal processing. Incorporating a …

Designing incoherent unit norm tight frames via block coordinate descent-based alternating projection

F Tong, D Zhao, X Li, L Li - Applied Mathematics and Computation, 2024 - Elsevier
In this paper, we introduce a novel methodology for constructing incoherent unit norm tight
frames, termed block coordinate descent-based alternating projection. In the proposed …

Designing Low Coherent Measurement Matrix With Controlled Spectral Norm Via an Efficient Approximation of -Norm

A Heshmati, S Amini… - IEEE Signal …, 2022 - ieeexplore.ieee.org
Compressed Sensing is targeted at reconstructing a signal from a small set of
measurements, if the signal is sparse in some domains. In this respect, a low coherent …

Sparsity-driven deterministic sampling strategy for coded aperture x-ray computed tomography

M Sonkar, P Sasmal, P Theeda… - … Science and Technology, 2021 - iopscience.iop.org
The sub-sampling strategies in x-ray computed tomography (CT) have gained importance
due to their practical relevance. In this direction of research, also known as coded aperture x …

[PDF][PDF] Compliant Ternary Matrices based on Restricted Isometry Property: Construction and Application to Image Retrieval

RR Naidu, M Srinivas, CS Sastry - Journal of Combinatorics …, 2019 - researchgate.net
The class of matrices possessing compliance with the Restricted Isometry Property (RIP)
provides data of certain types with sparse representation. The ternary matrices with 0,±1 as …

Nullspace Property for Optimality of Minimum Frame Angle Under Invertible Linear Operators

P Sasmal, P Theeda, P Jampana… - IEEE Signal Processing …, 2021 - ieeexplore.ieee.org
Frames with a large minimum angle between any two distinct frame vectors are desirable in
many present day applications. For a unit norm frame, the absolute value of the cosine of the …