Paper Info
Title
Time-domain oversampled lapped transforms: theory, structure, and application in image coding
Abstract
This paper generalizes time-domain lapped transforms (TDLTs) proposed by Tran et al. to oversampled systems, thus leading to time-domain oversampled lapped transforms (TDOLTs). These new transforms correspond to a subclass of oversampled linear-phase perfect reconstruction filterbanks (OLPPRFBs), which can be implemented by adding a prefilter before the discrete cosine transform (DCT) and a post-filter after the inverse discrete cosine transform (IDCT). Structures of the pre- and post-filters are developed, and the frame-theoretic properties of TDOLTs are analyzed. A new parameterization of lattice matrices through the Givens-QR factorization is proposed for unconstrained optimization. Comparisons with other parameterization methods are also included. Several design examples, along with some image coding results, are presented to demonstrate the validity of the theory and the potential of TDOLTs in image coding, especially in error-resilient coding.
Year
DOI
Venue
2004
10.1109/TSP.2004.834214
IEEE Transactions on Signal Processing
Keywords
Field
DocType
oversampled system,givens-qr factorization,inverse discrete cosine,error-resilient coding,image coding,design example,discrete cosine,oversampled linear-phase perfect reconstruction,new parameterization,time-domain oversampled lapped,parameterization method,lapped transform,discrete cosine transform,linear phase,time domain,qr factorization,generation time,matrix decomposition
Time domain,Linear phase,Mathematical optimization,Lapped transform,Matrix (mathematics),Filter bank,Discrete cosine transform,Matrix decomposition,Image processing,Mathematics
Journal
Volume
Issue
ISSN
52
10
1053-587X
Citations 
PageRank 
References 
16
0.90
23
Authors
2
Name
Order
Citations
PageRank
Lu Gan132425.46
Kai-Kuang Ma22309180.29