About Notations in Multiway Array Processing
Provides clearer notations for multiway array processing, benefiting researchers in signal processing and tensor analysis.
This paper redefines vectorization and matricization operators to align with Kronecker product properties, introduces distinct symbols for tensor and Kronecker products, and recalls properties of the array normal law with improved notations.
This paper gives an overview of notations used in multiway array processing. We redefine the vectorization and matricization operators to comply with some properties of the Kronecker product. The tensor product and Kronecker product are also represented with two different symbols, and it is shown how these notations lead to clearer expressions for multiway array operations. Finally, the paper recalls the useful yet widely unknown properties of the array normal law with suggested notations.