Gaussian Z Channel with Intersymbol Interference

Authors

  • H. Fehri Electrical Engineering Dept., Ferdowsi University of Mashhad
  • H. Khoshbin Ghomash Electrical Engineering Dept., Ferdowsi University of Mashhad
Abstract:

In this paper, we derive a capacity inner bound for a synchronous Gaussian Z channel with intersymbol interference (ISI) under input power constraints. This is done by converting the original channel model into an n-block memoryless circular Gaussian Z channel (n-CGZC) and successively decomposing the n-block memoryless channel into a series of independent parallel channels in the frequency domain using the discrete Fourier transform (DFT). The capacity inner bounds for these parallel channels can be determined easily. Since we assume that our channel is a synchronous channel, the capacity inner bound of the Gaussian Z channel with ISI is the same as the capacity inner bound of the n-CGZC in the limit of infinite block length. Moreover, some numerical results showing the loss in rate caused by ISI are given.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Gaussian Intersymbol Interference Channels With Mismatch

This paper considers the problem of channel coding over Gaussian intersymbol interference (ISI) channels with a given metric decoding rule. Specifically, it is assumed that the mismatched decoder has an incorrect assumption on the impulse response function. The mismatch capacity is the highest achievable rate for a given decoding rule. Existing lower bounds to the mismatch capacity for channels...

full text

Optimum Sequence Estimation for Non-Gaussian Channels with Intersymbol Interference

In 1972, Forney proposed a maximum likelihood sequence estimator for digital PAM (pulse amplitude modulated) signals in the presence of nite intersymbol interference (ISI) and additive white Gaussian noise. This optimum scheme involves passing the received signal through a so-called whitened linear matched lter, sampling the lter output at the symbol rate, and processing the resulting sequence ...

full text

Information rates for a discrete-time Gaussian channel with intersymbol interference and stationary inputs

Bounds are presented on Zi,i,d,-the achievable information rate for a discrete Gaussian channel with intersymbol interference (IS11 present and i.i.d. channel input symbols governed by an arbitrary predetermined distribution p , (x ) . Upper bounds on I , the achievable information rate with the symbol independence demand relaxed, are given as well. The bounds are formulated in terms of the ave...

full text

The Capacity Region of Gaussian Broadcast Channels with Intersymbol Interference

We derive the two-user capacity region with and without common information for a Gaussian broadcast channel with intersymbol interference, assuming colored Gaussian noise and an input power constraint. The proof is achieved by rst deening a similar channel model, the circular broadcast channel, which can be decomposed into a set of parallel degraded broadcast channels. The capacity region for p...

full text

Equalization and Coding for the Two-dimensional Intersymbol Interference Channel

The members of the Committee appointed to examine the dissertation of TAIKUN CHENG find it satisfactory and recommend that it be accepted. Chair ii ACKNOWLEDGEMENTS I would like to express my sincere gratitude to my advisor, Dr. Benjamin Belzer for his invaluable guidance and consistent support through out the time it took me to complete this research and write the dissertation in Washington St...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 2  issue 2

pages  131- 142

publication date 2016-03-09

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023