Jump to content

File:Acquisition of the bang bang 1 -1 loop, transition density 100%.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikibooks, open books for an open world

Original file (1,385 × 583 pixels, file size: 113 KB, MIME type: image/png)

Summary

Description
English: The simulation uses 3000 discrete time steps. Each time increment is 2,7 ps (that is the line pulse period of 100 ps divided by 37).

After 200 time steps (i.e. after .2,7 * 37 = 543 ps) the loop - that was until then open (because LOS was = 1) starts its acquisition phase ( LOS = 0). The input phase takes in that moment a positive step of 1.3 rad. The input transitions appear with an average density of 100 %, which is not realistic but useful to illustrate the condition normally specified for the "block preamble". The acquisition lasts for a little over 1.3 ns in this example. It ends when the phase error settles around its final value (settles around 0 rad in this example). The pattern of pulses in the signal that drives the VCO (black trace) is made only of positive pulses during the acquisition of lock. The VCO has a ffr lower than fp (in actuality lower by 5750 ppm), as the VCO phase lags behind the input phase (lower negative slope in the red trace) when the VCO drive signal it at its intermediate level before detection of the input signal (mid level of the VCO drive signal). The steeper slopes of the red trace, positive and negative, tell when the VCO is driven to its top and bottom frequencies (1,00575 1010 ±2,39 108 Hz ) by the positive and negative pulses of its drive signal. If the transition density was less than 100%, the acquisition time would vary every time with the randomness of the transitions at the signal appearance, and be significantly longer than in the example. With the transitions density equal to 100%, the acquisition is the fastest and its duration is constant every time. Acquisition with a preamble of 101010.. i.e a density of 100%, of adequate duration, are a standard in systems that frequently need to reacquire the signal lock

When DT = 100%, it is even more evident that the tracking of a fp higher than ffr is the cause of a ratio of positive pulses to negative pulses (evident in the VCO drive signal) that is higher than 1.
Date
Source Own work
Author BORGATO Pierandrea

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

14 November 2014

image/png

58a3c3efbeb31e05b5959d62be60eb7e81916b13

115,722 byte

583 pixel

1,385 pixel

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current08:33, 14 November 2014Thumbnail for version as of 08:33, 14 November 20141,385 × 583 (113 KB)BORGATO PierandreaUser created page with UploadWizard

Metadata