Accession Number:

AD0743497

Title:

Spectral Analysis of Unequally Spaced Data Samples,

Descriptive Note:

Corporate Author:

STANFORD RESEARCH INST MENLO PARK CALIF

Personal Author(s):

• Singleton,R. C.
• Larson,A. G.

Report Date:

1972-04-01

Pagination or Media Count:

32.0

Abstract:

Most of the theory and practice of digital spectral analysis is based on use of the discrete Fourier transform, which by definition requires a set of data values measured at equally spaced times. In the paper the authors consider the analysis of data that are only approximately on an equally spaced grid and that in addition suffers from the problem of missing observations. In this case, the discrete Fourier transform is not directly applicable, and the authors consider several alternative approaches. The authors then consider in detail the measurement of the frequency of a single sinusiodal function in the presence of noise, using an approach based on minimizing the residual squared error after fitting. Author

Descriptors:

• (*INFORMATION THEORY
• SPECTRUM ANALYZERS)
• SAMPLING
• INTEGRAL TRANSFORMS
• FOURIER ANALYSIS
• LEAST SQUARES METHOD
• RANDOM VARIABLES
• REGRESSION ANALYSIS
• CURVE FITTING
• WHITE NOISE
• POWER SPECTRA

Subject Categories:

• Cybernetics
• Test Facilities, Equipment and Methods

Distribution Statement:

APPROVED FOR PUBLIC RELEASE