We investigate the use of multiple transmitting and or receiving antennas for single user communications over the additive Gaussian channel with and without fading We derive formulas for the capacities and error exponents of such channels and describe computational procedures to evaluate such for mulas We show that the potential gains of such multi antenna systems over single antenna systems is...

We consider the nonparametric estimation of a periodic function that is observed in additive Gaussian white noise after convolution with a “boxcar,” the indicator function of an interval. This is an idealized model for the problem of recovery of noisy signals and images observed with “motion blur.” If the length of the boxcar is rational, then certain frequencies are irretreviably lost in the p...

The mismatch capacity of a channel is the highest rate at which reliable communication is possible over the channel with a given (possibly suboptimal) decoding rule. This quantity has been studied extensively for single-letter decoding rules over discrete memoryless channels (DMCs). Here we extend the study to memoryless channels with general alphabets and to channels with memory with possibly ...

We present a new and simple method which consists to apply constellation shaping to bit-interleaved turbo-coded modulation (BICTM) over additive white Gaussian noise channels. By assuming the example of a 3-bit/dim 16-PAM BITCM, it is shown that this technique can provide shaping gain of 0.79dB.

Although feedback does not increase capacity of an additive white noise Gaussian channel, it enables prediction of the noise for non-white additive Gaussian noise channels and results in an improvement of capacity, but at most by a factor of 2 (Pinsker, Ebert, Pombra, and Cover). Although the capacity of white noise channels cannot be increased by feedback, multiple access white noise channels ...

In this work, we take an information theoretic approach to analyze the watermark communication problem in the presence of perceptual coding. Our effective watermark channel is modeled as a set of parallel independent zero-mean uniformly distributed additive noise channels. Energy allocation principles are identified to maximize the capacity results. Our findings are compared to the traditional ...

We study the asymptotic behavior of solutions to the stochastic strongly damped wave equation with additive noise defined on unbounded domains. We first prove the uniform estimates of solutions, and then establish the existence of a random attractor.

s — A generalized process (XÁ; ¿ 2 E), where E is a nuclear space, is a random variable family such that the map ¿ 7! XÁ is linear and continuous. The Gaussian white noise process is a wellknown example. It is characterized by a Gaussian measure on the dual space E 0 ofE . Ordinary Gaussian processes can be constructed from the white noise process using the duality relation: (X Á = h_;¿ xi; x 2...

The feedback capacity of the stationary Gaussian additive noise channel has been open, except for the case where the noise is white. Here we obtain the closed-form feedback capacity of the first-order moving average additive Gaussian noise channel. Specifically, the channel is given by Yi = Xi +Zi, i = 1, 2, . . . , where the input {Xi} satisfies a power constraint and the noise {Zi} is a first...