Accession Number:

AD0488877

Title:

REPRESENTATION AND ANALYSIS OF SIGNALS. PART XXII. TECHNIQUES FOR THE RESOLUTION OF OVERLAPPING WAVEFORMS.

Descriptive Note:

Technical rept.,

Corporate Author:

JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF ELECTRICAL ENGINEERING AND COMPUTER S CIENCE

Personal Author(s):

• Reeder, James R.

Report Date:

1966-05-01

Pagination or Media Count:

187.0

Abstract:

Many signals arising from physical processes are composed of overlapping waveforms. This dissertation provides a unified approach to the problem of resolving the individual waveforms comprising such signals. The techniques presented are classified as 1 statistical parameter estimation techniques, 2 Fourier techniques, 3 techniques for resolving truncated waveforms of generalized exponential type. Practical computational algorithms are presented for implementing the parameter estimation techniques using the method of nonlinear least-squares estimation. An analogy is shown to exist between the resolution problem and the singular detection problem of statistical communication theory. A filter is derived from the Fourier techniques which permits perfect resolution of the waveforms in the singular case and significant resolution enhancement in the nonsingular case. A test statistic is derived from the principle of analytic continuation and the method of maximum likelihood testing. An approximate resolution technique is developed for a special class of ESR signals which possesses significant computational advantages over some standard methods of analysis.

Descriptors:

• *SIGNALS
• SEISMOLOGY
• NUCLEAR MAGNETIC RESONANCE
• ELECTRONS
• PARAMAGNETIC RESONANCE
• INFRARED SPECTROSCOPY
• MICROWAVE SPECTROSCOPY
• ELECTROPHORESIS
• MULTIPATH TRANSMISSION
• RESOLUTION
• OPTIMIZATION
• MATHEMATICAL MODELS
• INTEGRAL TRANSFORMS
• ALGORITHMS
• LEAST SQUARES METHOD
• NOISE
• DETECTION
• SEPARATION
• FOURIER ANALYSIS

Subject Categories:

• Acoustic Detection and Detectors

Distribution Statement:

APPROVED FOR PUBLIC RELEASE