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

The classical problem of reliable point-to-point digital communication is toachieve a low probability of error while keeping the rate high and the totalpower consumption small. Traditional information-theoretic analysis uses`waterfall' curves to convey the revolutionary idea that unboundedly lowprobabilities of bit-error are attainable using only finite transmit power.However, practitioners have long observed that the decoder complexity, andhence the total power consumption, goes up when attempting to use sophisticatedcodes that operate close to the waterfall curve.  This paper gives an explicit model for power consumption at an idealizeddecoder that allows for extreme parallelism in implementation. The decoderarchitecture is in the spirit of message passing and iterative decoding forsparse-graph codes. Generalized sphere-packing arguments are used to derivelower bounds on the decoding power needed for any possible code given only thegap from the Shannon limit and the desired probability of error. As the gapgoes to zero, the energy per bit spent in decoding is shown to go to infinity.This suggests that to optimize total power, the transmitter should operate at apower that is strictly above the minimum demanded by the Shannon capacity.  The lower bound is plotted to show an unavoidable tradeoff between theaverage bit-error probability and the total power used in transmission anddecoding. In the spirit of conventional waterfall curves, we call these`waterslide' curves.

The price of certainty: "waterslide curves" and the gap to capacity