A Vector Space Approach to Time-Variant Energy Spectral Analysis,
Abstract
When analyzing signals, it is natural and useful to think of them in terms of an energy distribution, which is a functio of frequency, evolving with time. Although traditionally used for spectral analysis, the Fourier Transform is inadequate for describing a time evolving spectrum. There are approaches, with appropriate theoretical justification, that attempt to describe the time-variant spectrum. An investigation of these approaches indicates serious difficulties of interpretation and implementation. A more practical and successful approach is a piecewise Fourier Transform. This in-house report provides the theoretical justification, lacking in the open literatures, for the piecewise approach. Also included is a useful framework for applying weighting windows to time-frequency energy spectral analysis. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1983
- Accession Number
- ADA140196
Entities
People
- J. E. Roach
Organizations
- Rome Laboratory