Name
Title | ||
|---|---|---|
Principal Component Compression Method for Covariance Matrices Used for Uncertainty Propagation |
Abstract | ||
|---|---|---|
We investigate a principal component analysis approach for compressing the covariance matrices derived from real-time and sampling oscilloscope measurements. The objective of reducing the data storage requirements to scale proportional to the trace length n rather than n2 is achieved, making the approach practical for representing results and uncertainties in either the time or frequency domain. Simulation results indicate that the covariance matrices can be represented in a compact form with negligible error. Mathematical manipulation of the compressed matrix can be achieved without the need to reconstruct the full covariance matrix. We have demonstrated compression of data sets containing up to 10000 complex frequency components. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1109/TIM.2014.2340640 | IEEE T. Instrumentation and Measurement |
Keywords | Field | DocType |
uncertainty,frequency domain analysis,measurement uncertainty | Frequency domain,Covariance function,Estimation of covariance matrices,Propagation of uncertainty,Matrix (mathematics),Electronic engineering,Covariance matrix,Principal component analysis,Mathematics,Covariance | Journal |
Volume | Issue | ISSN |
64 | 2 | 0018-9456 |
Citations | PageRank | References |
3 | 0.54 | 7 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| David A. Humphreys | 1 | 3 | 0.54 |
| Peter M. Harris | 2 | 3 | 0.88 |
| Manuel Rodriguez-Higuero | 3 | 3 | 0.54 |
| Faisal Ali Mubarak | 4 | 3 | 0.54 |
| Dongsheng Zhao | 5 | 3 | 0.54 |
| Kari Ojasalo | 6 | 8 | 1.32 |