Title
Interpolation Based On Stationary And Adaptive Ar(1) Modeling
Abstract
In this paper, we describe a minimal mean square error (MMSE) optimal interpolation filter for discrete random signals. We explicitly derive the interpolation filter for a first-order autoregressive process (AR(1)), and show that the filter depends only on the two adjacent points. The result is extended by developing an algorithm called local AR approximation (LARA), where a random signal is locally estimated as an AR(1) process. Experimental evaluation illustrates that LARA interpolation yields a lower mean square error than other common interpolation techniques, including linear, spline and local polynomial approximation (LPA).
Year
DOI
Venue
2011
10.1109/ICASSP.2011.5947242
2011 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING
Keywords
Field
DocType
Interpolation, LMMSE estimation, autoregressive modeling, adaptive filtering
Nearest-neighbor interpolation,Mathematical optimization,Polynomial interpolation,Spline interpolation,Multivariate interpolation,Interpolation,Stairstep interpolation,Linear interpolation,Mathematics,Bilinear interpolation
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
4
4
Name
Order
Citations
PageRank
Eija Johansson100.34
Marie Strom252.84
Mats Viberg31043126.67
Lennart Svensson438543.46