2024/02/16 by Shukla, Alok, Vedula, Prakash · 2 citations
#05B20 #15B34 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2402.11003
The concept of sequency holds a fundamental significance in signal analysis using Walsh basis functions. In this study, we closely examine the concept of sequency and explore the properties of sequency-complete and sequency-ordered matrices. We obtain results on cardinalities of sets containing sequency-complete and sequency-ordered matrices of arbitrary sizes. We present methods for obtaining interesting classes of sequency-complete and sequency-ordered matrices of arbitrary sizes. We also provide results on the sequencies of columns in tensor products involving two or more matrices.