from Part II - The lossy scenario
Published online by Cambridge University Press: 07 October 2011
In Chapter 5, we introduced a practical approach to the NASCC problem by optimal diversity routing of MDC code streams (the RNF problem) and optimal design of the MDC codes by PET technique. There, we briefly discussed the role of the common rate of the descriptions r and the total number of possible descriptions K. The developments so far assumed communication with bounded delays, in which case the values of r, K become particularly important.
When the delay constraint is relaxed, we find that the set of all achievable distortion tuples converges to a limit independent of the description rate r. This limiting region will turn out to have a simple representation by introduction of a new form of flow we call continuous Rainbow Network Flow, or co RNF, as opposed to the discrete version of the problem considered so far in the thesis. co RNF can be viewed as the generalization of the RNF to fractional flows and is the subject of Sections 7.1 and 7.2.
In di RNF, we assumed the existence of K descriptions of equal rate r. co RNF, in one view, relaxes the constraint on description rates and allows for an arbitrary number of descriptions. Therefore, co RNF contains RNF as a special case. On the converse side, we show that the performance achievable with arbitrary description rates can be achieved, arbitrarily closely, using any description rate, provided that the delay constraint is relaxed and the number of descriptions is left unbounded.
To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.