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 Johansson | 1 | 0 | 0.34 |
Marie Strom | 2 | 5 | 2.84 |
Mats Viberg | 3 | 1043 | 126.67 |
Lennart Svensson | 4 | 385 | 43.46 |