By Topic

Upper bounds to error probabilities of coded systems beyond the cutoff rate

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Divsalar, D. ; Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA ; Biglieri, Ezio

A family of upper bounds to error probabilities of coded systems was recently proposed by D. Divsalar (see IEEE Communication Theory Workshop, 1999; JPL TMO Prog. Rep. 42-139, 1999). These bounds are valid for transmission over the additive white Gaussian noise channel, and require only the knowledge of the weight spectrum of the code words. After illustrating these bounds, we extend them to fading channels. Contrary to the union bound, our bounds maintain their effectiveness below the signal-to-noise ratio (SNR) at which the cutoff rate of the channel equals the rate of the code. Some applications are shown. First, we derive upper bounds to the minimum SNR necessary to achieve zero error probability as the code block length increases to infinity. Next, we use our bounds to predict the performance of turbo codes and low-density parity-check codes.

Published in:

Communications, IEEE Transactions on  (Volume:51 ,  Issue: 12 )