PROBABILITY OF CYCLE JUMPS IN OMEGA RECEIVERS AND OTHER PHASE LOCKED LOOP APPLICATIONS; TECHNICAL REPT

A study of cycle jumps in phase locked loops with a particular emphasis on Omega receivers is presented. Theoretical predictions using numerical integration of the probability density functions of the phase estimates for both Gaussian and more accurate atmospheric noise models are presented. These theoretical results are validated through computer and hardware simulations using both Gaussian and atmospheric noise. Hard limited and linear receivers are considered along with various methods of phase estimate averaging. In addition, the combined effect of noise and errors in the velocity or phase estimate are presented. The results relating the probability of cycle jumps to signal to noise ratio (SNR) show very pronounced thresholding in Gaussian Noise, i.e. very small changes in SNR can mean the difference between acceptable and unacceptable probability of cycle jumps. This was found not to be true for atmospheric noise due to the significant number of outliers even for large SNR's. The data supports a conclusion that the lower limit on acceptable SNR for receiver operation is due to the probability of receiver cycle errors and not merely fix inaccuracy due to noise in lines of position.

• Supplemental Notes:
  • See also PB92-128909 and AD-A210 342.
• Corporate Authors:

  Coast Guard Academy Center for Advanced Studies.

  New London, CT  United States 
• Authors:
  • PETERSON, B B
  • Jones, W H
• Publication Date: 1991-11

Language

• English

Media Info

• Pagination: 15 p.

Subject/Index Terms

• TRT Terms: Omega navigation system; Probability density functions; Radio navigation; Radio receivers; Signal to noise ratio
• Old TRIS Terms: Phase locked systems; Random noise
• Subject Areas: Data and Information Technology; Marine Transportation;

Filing Info

• Accession Number: 00666704
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: USCGA-TR-6-91
• Files: TRIS
• Created Date: Oct 3 1994 12:00AM