Shannon's Theorem,

reportActive / Technical Report | Accession Number: ADA033131 | Open PDF

Abstract:

This report is concerned with some of the practical aspects of Shannons Theorem, i.e., that a band-limited time series is completely determined by its value at equally spaced time intervals, delta t, if 12 delta t is greater than the bandwidth. Thus, ft sum over n of fn delta t ht - n delta t, where 12 delta t is greater than the bandwidth of f. In practice, f is only approximately band limited and the series contains only a finite number of terms. In this report, the effects of bandwidth and truncation of the series are studied. Author

Author(s):
Innis, G. S.
Author Organization(s):
TEXAS UNIV AT AUSTIN DEFENSE RESEARCH LAB
Supplementary Note:
Includes envelope with graphs.
Pagination:
0087

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
DRL-A-284
Contract/Grant Number(s):
NOBsr-95181
 Subject Terms
Joint Capability Areas:
JCA_6.1_Information Transport; JCA_6_Net Centric
Communities of Interest:
Ground and Sea Platforms
Descriptor(s):
*SIGNAL PROCESSING, *BANDPASS FILTERS, COMPUTER PROGRAMS, GRAPHS, FORTRAN, ERROR ANALYSIS, TABLES(DATA), NOISE, NUMERICAL METHODS AND PROCEDURES, BANDWIDTH, BIAS, DIRECT CURRENT, ANALOG SYSTEMS, DIGITAL FILTERS, TRUNCATION, THEOREMS
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
Most project 3, Shannon s theorem
Report Date:
1967 May 24