Publications in Scientific Journals:

B. Tahir, S. Schwarz, M. Rupp:
"Constructing Grassmannian Frames by an Iterative Collision-Based Packing";
IEEE Signal Processing Letters, 26 (2019), 7; 1056 - 1060.

English abstract:
Grassmannian frames consist of unit-norm vectors with a maximum cross-correlation between each other that is minimal. A property like that is desired in many applications, such as in wireless communications, sparse recovery, quantum information theory, and more. In this work, we present an iterative algorithm targeting the construction of Grassmannian frames, based on a collision-based packing of equal-radius hyperspheres on the surface of a unit-norm hypersphere. Our results show that the algorithm is capable of producing frames with very low coherence, and at a fast convergence rate compared to other methods.

Grassmannian frames, iterative , cross-correlation , vectors packing, Coherence, Signal processing algorithms, Euclidean distance, Wireless communication, Quantum mechanics, Information theory

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Created from the Publication Database of the Vienna University of Technology.