Title :
Gaussian feedback capacity
Author :
Cover, Thomas M. ; Pombra, Sandeep
Author_Institution :
Dept. of Electr. Eng. & Stat., Stanford Univ., CA, USA
fDate :
1/1/1989 12:00:00 AM
Abstract :
The capacity of time-varying additive Gaussian noise channels with feedback is characterized. Toward this end, an asymptotic equipartition theorem for nonstationary Gaussian processes is proved. Then, with the aid of certain matrix inequalities, it is proved that the feedback capacity CFB in bits per transmission and the nonfeedback capacity C satisfy C⩽CFB ⩽2C and C⩽CFB⩽ C+1/2
Keywords :
channel capacity; feedback; information theory; asymptotic equipartition theorem; feedback; feedback capacity; information theory; nonfeedback capacity; nonstationary Gaussian processes; time-varying additive Gaussian noise channels; Additive noise; Channel capacity; Decoding; Entropy; Feedback; Gaussian distribution; Gaussian noise; Gaussian processes; Integrated circuit noise; Linear matrix inequalities;
Journal_Title :
Information Theory, IEEE Transactions on