On the capacity of the discrete-time Gaussian channel with delayed feedback
نویسنده
چکیده
We give an upper bound to the finite block length capacity of discrete time nonstationary Gaussian channel with delayed feedback. With the aid of minimization of a quadratic form, it is proved that the L time delayed feedback capacity C n,FB(P ) and the nonfeedback capacity Cn(P ) satisfy Cn(P ) ≤ C n,FB(P ) ≤ Cn(P∗), where P∗ is concretely given. And we give a sufficient condition for C n,FB(P ) to be increased by L time delayed feedback. Finally we also give a necessary and sufficient condition for C n,FB(P ) of a class of Gaussian channel to be increased by 2 time delayed feedback.
منابع مشابه
Gaussian Z Channel with Intersymbol Interference
In this paper, we derive a capacity inner bound for a synchronous Gaussian Z channel with intersymbol interference (ISI) under input power constraints. This is done by converting the original channel model into an n-block memoryless circular Gaussian Z channel (n-CGZC) and successively decomposing the n-block memoryless channel into a series of independent parallel channels in the frequency dom...
متن کاملBounds for Multiple-Access Relay Channels with Feedback via Two-way Relay Channel
In this study, we introduce a new two-way relay channel and obtain an inner bound and an outer bound for the discrete and memoryless multiple access relay channels with receiver-source feedback via two-way relay channel in which end nodes exchange signals by a relay node. And we extend these results to the Gaussian case. By numerical computing, we show that our inner bound is the same with o...
متن کاملUpper bounds on the capacity of discrete-time blockwise white Gaussian channels with feedback
Although it is well known that feedback does not increase capacity of an additive white Gaussian channel, Yanagi gave the necessary and sufficient condition under which the capacity Cn,FB(P ) of discrete time non-white Gaussian channel is increased by feedback. In this paper we show that the capacity Cn,FB(P ) of the Gaussian channel with feedback is a concave function of P , and give two type ...
متن کاملEigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays
Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...
متن کاملAn Upper Bound to the Capacity of Discrete Time Gaussian Channel with Feedback, II
We give an upper bound to the finite block length capacity of discrete time nonstationary Gaussian channel with feedback. With the aid of minimization of a quadratic form, it is proved that the feedback capacity Cn,FB(P ) and the nonfeedback capacity Cn(P ) satisfies Cn(P ) ≤ Cn,FB(P ) ≤ Cn(P∗), where P∗ is concretely given.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IEEE Trans. Information Theory
دوره 41 شماره
صفحات -
تاریخ انتشار 1995