Study of techniques for all random process technology, including stationary, nonstationary, and Gaussian bivariate, aids digital data processing. It presents material on digital filtering, correlation function, optimal spectral smoothing, deterministic data processing, and nonstationary spectrum and correlation analyses

Bordner, G. W.

English

NASA Technical Reports Server

August 1967
	 Brief 67-10309 
•	
.	 NASA TECH BRIEF
 
NASA Tech  Briefs are issued to summarize specific innovations derived from the U.S. space program, 
to encourage their commercial application. Copies are available to the public at 15 cents each 
from the Clearinghouse for Federal Scientific and Technical Information, Springfield, Virginia 22151. 
Study of Random Process Theory Aids Digital Data Processing' 
The problem: 
To devise new and improved means of applying 
statistics and random process theory to the technol-
ogies of meteorology, vibration, acoustic measure-
ments, and other random processes. Methods are also 
desired for reducing data editing and computer usage 
time, increasing accuracy of statistical estimates of 
processed data, and determining possible future appli-
cations for existing data reduction equipment. 
The solution: 
A study in which techniques for estimating correla-
tion functions and power spectral densities for all 
classes of random processes, including nonstationary, 
stationary, gaussian bivariate, etc., in addition to 
deterministic processes, are described in a rigorous 
mathematical sense. In.this study, aids to implement-
ing the processing techniques are given, including a 
complete thesis on the synthesis of optimal digital 
filters. The technique of digital heterodyning, and 
methods of applying these techniques for use on a 
general purpose digital computer are also presented to 
further aid the processing engineer. 
Notes: 
1. The following material is presented in this set of 
studies: 
A. Digital Filtering 
(1) Time and frequency relationships 
(2) Synthesis of optimum digital filters 
(3) Optimum filters with the constraint of unity 
DC gain 
(4) Notch filters 
(5) Digital heterodyning
B. Correlation Function 
(I) Summary of available computational 
methods 
(2) "Half-polarity" correlator analysis 
(3) Comparison of "Half-polarity" and "Full-
precision" correlators 
(4) Correlation of signal plus noise 
(5) Computer techniques of calculating correla-
tion functions 
C. Optimal spectral smoothing 
D. Deterministic data processing 	 0 
E. Nonstationary spectrum analysis 
(1) Theory 
(2) Experimental results 
F; Nonstationary correlation analysis 
(1) Theory 
(2) Experimental results 
2. Inquiries concerning this innovation may be di-
rected to:
Technology Utilization Officer 
Marshall Space Flight Center 
Huntsville, Alabama 35812 
Reference: B67-10309 
Patent status: 
No patent action is contemplated by NASA. 
Source: G. W. Bordner, et al., 
of Cornell Aeronautical laboratory, Inc. 
under contract to 
Marshall Space Flight CenterS 
(MFS-1475) 
Category 06 
This document was prepared under the sponsorship of the National 	 Government assumes any liability resulting from the use of the 
Aeronautics and Space Administration. Neither the United States 	 information contained in this document, or warrants that such use 
Government nor any person acting on behalf of the United States
	 will be free from privately owned rights.
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Study of random process theory aids digital data processing

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