Accession Number:

AD0880702

Title:

A Comparison of Linear Bases for Pulsed Signals.

Descriptive Note:

Technical rept.,

Corporate Author:

JOHNS HOPKINS UNIV BALTIMORE MD CARLYLE BARTON LAB

Personal Author(s):

• Bennett, R. S.

Report Date:

1971-01-01

Pagination or Media Count:

81.0

Abstract:

Representation of a signal as a vector projected onto a finite linear orthogonal basis is a familiar geometrical technique for the analysis of pulsed signals. This study makes a comparison of a number of bases which have found use in the description of radar pulses. These bases may be separated into four classes exponential functions, orthogonal polynomials, orthogonalized rectangular functions, and principal components. The exponential bases include the Fourier series, functions, based on Laguerre and Legendre polynomials, and Kautz functions with both real and complex exponents. Pronys method and the fast Fourier transform are used in selecting the Kautz exponents. The polynomial expansions include Chebyshev, Laguerre and Legendre polynomials. Bases formed from the Walsh and Haar orthogonal square waves have been included because of their relative simplicity of implementation. The method of principal components is used as a means for artificially generating a set of signals which collectively are uncorrelated with any given set. In making the comparison, both simulated and actual radar pulses are used. Plots of a number of signals reconstructed from these various expansions are illustrated in order to provide some insight into the suitability of these bases for pattern sorting purposes. Author

Descriptors:

• (*RADAR SIGNALS
• PATTERN RECOGNITION)
• INFORMATION THEORY
• SPECTRUM SIGNATURES
• TARGET DISCRIMINATION
• VECTOR SPACES
• EXPONENTIAL FUNCTIONS
• FOURIER ANALYSIS
• INTEGRAL TRANSFORMS
• POLYNOMIALS
• SERIES(MATHEMATICS)
• SIMULATION
• RADAR PULSES

Subject Categories:

• Cybernetics
• Active and Passive Radar Detection and Equipment

Distribution Statement:

APPROVED FOR PUBLIC RELEASE