English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study polarization for nonbinary channels with input alphabet of size q=2r, r=2,3,.... Using Ar&#x0131;kan's polarizing kernel H2, we prove that the virtual channels that arise in the process of channel evolution converge to q-ary channels with capacity 0,1,2,..., r bits. As a result of this analysis, we show that polar codes support reliable transmission over discrete memoryless channels with q-ary input for all rates below the symmetric capacity of the channel. This leads to an explicit transmission scheme for q-ary channels. The block error probability of decoding using successive cancellation behaves as exp(-N&#x03B1;), where N is the code length and &#x03B1; is any constant less than 0.5.

Polar Codes for Q-Ary Channels, $q=2^{r}$