AN OPTIMIZATION PROCEDURE FOR A SINGLE-LINK UNI-DIRECTIONAL DIGITAL COMMUNICATION SYSTEM IN THE PRESENCE OF ADDITIVE GAUSSIAN NOISE AND FOR DETECTION INDEPENDENT OF FADING
Abstract
THE BASIC PROBLEM OF TRANSMITTING DIGITAL INFORMATION THROUGH A NOISY CHANNEL WITH MINIMUM PROBABILITY OF ERROR IN FINITE TIME IS CONSIDERED. THE TRANSMITTED SIGNALS ARE AVERAGE-POWER LIMITED, AND THE NOISE IS ASSUMED TO BE ADDITIVE GAUSSIAN WITH A POWER SPECTRUM WHICH MAY BE NONWHITE. DETECTION INDEPENDENT OF FADING IS ASSUMED. A THEORY OFSO-CALLED EFFICIENT CODES (MINIMAX, EQUAL SEPARATION, AND NEARLY EQUALSEPARATION) IS DEVELOPED. THE THEORY OF EQUIDISTANT AND NEARLY EQUIDISTANT CODES IS EXTENDED TO THE CASE OF NONWHITE GAUSSIAN NOISE. EFFICIENT CODES PERFORM BETTER THAN EQUIDISTANT CODES IF THE NOISE IS NON-WHITE. PERFORMANCE RESULTS ARE GIVEN FOR DIFFERENT CODES FOR WHITE GAUSSIAN NOISE AND GAUSSIAN NOISE WITH POWER SPECTRUM CURVES THAT INCREASE SLOWLY AND RAPIDLY WITH FREQUENCY
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 15, 1960
- Accession Number
- AD0250210
Entities
People
- Ludwik Kurz
Organizations
- New York University