Title
Connection between DCT and discrete-time fractional Brownian motion
Abstract
A discrete-time fBm (dfBm) process BH(n) is a Gaussian, zero mean, non-stationary, statistically self similar random process with self-similarity index H (Hurst exponent). Signal modeling via these processes has been used in many engineering applications. In this paper, we have shown that the orthogonal matrix Q that diagonalizes the auto-covariance matrix of 1st order dfBm is close to the columns of DCT matrix.
Year
DOI
Venue
2016
10.1109/DCC.2016.84
2016 Data Compression Conference (DCC)
Keywords
Field
DocType
discrete-time fractional Brownian motion,discrete-time fBm process,dfBm process,Gaussian zero mean nonstationary statistically self similar random process,signal modeling,orthogonal matrix,auto-covariance matrix,DCT matrix
Mathematical analysis,Discrete cosine transform,Discrete time and continuous time,Brownian motion,Data compression,Discrete cosine transforms,Fractional Brownian motion,Compressed sensing,Mathematics
Conference
ISSN
ISBN
Citations 
1068-0314
978-1-5090-1854-3
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Anubha Gupta14419.52
Shiv Dutt Joshi29913.93