It is easy to argue that real signals must be bandlimited. It is also easy to argue that they
cannot be so. This paper presents one possible resolution of this seeming paradox. A …

This paper is concerned with the probability, P[T,r(τ)], that a stationary Gaussian process
with mean zero and covariance function r(τ) be nonnegative throughout a given interval of …

… Elias’ demonstration is an existence proof in that it does not show explicitly how to construct
a group alphabet signaling at a rate greater than C — s with a probability of error less than 6 …

A discrete time series has associated with it an amplitude spectrum which is a periodic
function of frequency. This paper investigates the extent to which a time series can be …

… to our Slepian based MVDR, [68] explicitly uses Slepian spaces to form … s Slepian space
and is mainly focused on robustness to DOA estimation errors. Though we constrain our Slepian …

A class of codes and decoders is described for transmitting digital information by means of
bandlimited signals in the presence of additive white Gaussiau noise. The system, called …

… We again use the novel algorithm of Slepian & Eisenstein (2015b,c, hereafter SE15b,c),
which computes the 3PCF's multipole moments in |$\mathcal {O}(NnV_{\rm max})$| time using …

In linear perturbation theory, all information about the growth of structure is contained in the
Green's function, or equivalently, transfer function. These functions are generally computed …

A class of codes for use on the Gaussian channel, called group codes, is defined and
investigated. Roughly speaking, all words in a group code are on an equal footing: each has the …

In the model studied here, the illuminance f of a distorted image is assumed to be the sum of
a spatially stationary noise process and the result of a convolution of the illuminance g of …