Title :
Refinements of the half-bit and factor-of-two bounds for capacity in Gaussian channel with feedback
Author :
Chen, Han Wu ; Yanagi, Kenjiro
Author_Institution :
Graduate Sch. of Sci. & Eng., Yamaguchi Univ., Ube, Japan
fDate :
1/1/1999 12:00:00 AM
Abstract :
We consider the upper bounds of the finite blocklength capacity C n,FB(P) of the discrete time Gaussian channel with feedback. We also let Cn(p) be the nonfeedback capacity. We prove the relations Cn(P)⩽Cn,FB(P)⩽Cn (αP)+½ln(1+1/α) and Cn(P)⩽Cn,FB(P)⩽(1+1/α)Cn (αP) for any P>0 and any α>0, which induce the half-bit and factor-of-two bounds given by Cover and Pombra (1989) in the special case of α=1
Keywords :
Gaussian channels; channel capacity; feedback; discrete time Gaussian channel; factor-of-two bound; feedback; finite blocklength capacity; half-bit bound; nonfeedback capacity; upper bounds; Capacity planning; Channel capacity; Decoding; Gaussian channels; Gaussian noise; Gaussian processes; Output feedback; Signal processing; Stochastic processes; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
