Spectral Estimation from Irregularly Spaced Data
- 1 April 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Geoscience Electronics
- Vol. 9 (2) , 107-110
- https://doi.org/10.1109/tge.1971.271476
Abstract
Observational data often is irregularly taken or has large gaps due to instrument failure or other real world effects. Yet no spectral estimation theory in use allows one, without dubious interpolation, to estimate spectra from an irregularly sampled signal, nor to combine pieces of record to estimate power at periods longer than the longest piece. A natural extension of conventional complex demodulation is proposed and illustrated for estimating auto- and cross-spectra. The sampling times can be randomly spaced and need not even be in order. The method reduces to the usual method when the data are equally spaced.Keywords
This publication has 4 references indexed in Scilit:
- Approximate spectral analysis by least-squares fitAstrophysics and Space Science, 1969
- Modern techniques of power spectrum estimationIEEE Transactions on Audio and Electroacoustics, 1967
- Harmonic analysis of tides from data randomly spaced in timeJournal of Geophysical Research, 1965
- Alias-Free Sampling of Random NoiseJournal of the Society for Industrial and Applied Mathematics, 1960