This paper investigates the asymptotic expansion for the size of block codes defined for the additive white Gaussian noise (AWGN) channel with feedback under the following setting: A peak power constraint is imposed on every transmitted codeword, and the average error probability of decoding the transmitted message is non-vanishing as the blocklength increases. It is well-known that the presenc...

Zusammenfassung: Am Beispiel der Kapazitätsformel für den Additive White Gaussian Noise (AWGN–) Kanal wird gezeigt, welche grundsätzliche Bedeutung der Informationstheorie nach C.E. Shannon beim Übergang vom Industrie– zum Informationszeitalter in der zweiten Hälfte des 20. Jahrhunderts zukommt. Hierzu werden exemplarisch zwei mathematische Konzepte zur Ableitung informationstheoretischer Theor...

In this paper, we consider the noncoherent code acquisition problem using sequential schemes. To alleviate the computational complexity of the maximum likelihood method, simplified schemes are proposed and analyzed for the truncated sequential probability ratio test. The performance of the simplified and original schemes are compared in additive white Gaussian noise and slowly varying fading ch...

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...

This paper studies the stability properties of stochastic differential equations subject to persistent noise (including the case of additive noise), which is noise that is present even at the equilibria of the underlying differential equation and does not decay with time. The class of systems we consider exhibit disturbance attenuation outside a closed, not necessarily bounded, set. We identify...

Detector + n k a k y k â k-+ – n k M-i0 p i y k BLOCKINi 2 M-i0 q i y k BLOCKINi 2 y k y k y k y k a k f 0 a k BLOCKIN1 f 1 à a k BLOCKIN-f-y k BLOCKIN1 y k BLOCKIN1 ˆ a k BLOCKIN-BLOCKIN1 f-a k BLOCKIN1 f 0 à a k BLOCKIN-f-BLOCKIN1 y k BLOCKIN-y k BLOCKIN-M-j1 ˆ a k BLOCKIN-BLOCKINj f j a k BLOCKIN-f 0 M-i0 w i y k BLOCKINi Fig. 1. A linear AWGN channel with a decision feedback detector. Abstr...

• Some bounding techniques are investigated in this section in order to serve as a tool for the analysis that follows. We first state the union upper bound that is widely used in the literature. • Then, some better bounds which are applicable to AWGN channels are also discussed here; they are Gallager bound and sphere upper bound.

We propose a method for inferring the existence of a latent common cause (“confounder”) of two observed random variables. The method assumes that the two effects of the confounder are (possibly nonlinear) functions of the confounder plus independent, additive noise. We discuss under which conditions the model is identifiable (up to an arbitrary reparameterization of the confounder) from the joi...

In this paper synchronous DS-CDMA with binary block coding is investigated for AWGN. First the asymptotic behaviour for coded transmission is derived for the optimal decoder. This order is called the asymptotic distance. Upper and lower bounds for the asymptotic distance are given for a K user system. For K = 2 the asymptotic distance is calculated exactly.Then it is shown how the asymptotic be...

Gaussian processes are usually parameterised in terms of their covariance functions. However, this makes it difficult to deal with multiple outputs, because ensuring that the covariance matrix is positive definite is problematic. An alternative formulation is to treat Gaussian processes as white noise sources convolved with smoothing kernels, and to parameterise the kernel instead. Using this, ...