Title :
Disproof of the Shamai-Laroia conjecture
Author :
Carmon, Yair ; Shamai, Shlomo ; Weissman, Tsachy
Author_Institution :
Israel Inst. of Technol., Technion - Israel Inst. of Technol., Haifa, Israel
Abstract :
We prove that the conjectured Shamai-Laroia lower bound for the maximum achievable rate in the intersymbol interference channel does not hold. It is shown that in the low SNR regime, the opposite to the conjecture is true, for all ISI channels and essentially all input distributions. Using insights obtained from this proof, we construct a clear counterexample to the conjecture.
Keywords :
intersymbol interference; conjectured Shamai-Laroia lower bound; input distributions; intersymbol interference channel; low SNR regime; maximum achievable rate; Approximation methods; Decision feedback equalizers; Information rates; Intersymbol interference; Mutual information; Signal to noise ratio;
Conference_Titel :
Electrical & Electronics Engineers in Israel (IEEEI), 2012 IEEE 27th Convention of
Conference_Location :
Eilat
Print_ISBN :
978-1-4673-4682-5
DOI :
10.1109/EEEI.2012.6377098
