Optimal Transport between Gaussian Stationary Processes

نویسندگان

چکیده

We consider the optimal transport problem between multivariate Gaussian stationary stochastic processes. The transportation effort is variance of filtered discrepancy process. main contribution this article to show that corresponding solution leads a weighted Hellinger distance power spectral densities. Then, we propose estimation approach in case indirect measurements, which based on distance.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On optimal stationary couplings between stationary processes

By a classical result of Gray et al. (1975) the %̄ distance between stationary processes is identified with an optimal stationary coupling problem of the corresponding stationary measures on the infinite product spaces. This is a modification of the optimal coupling problem from Monge–Kantorovich theory. In this paper we derive some general classes of examples of optimal stationary couplings whi...

متن کامل

Asymptotically Optimal Distribution Preserving Quantization for Stationary Gaussian Processes

Distribution preserving quantization (DPQ) has been proposed as a lossy coding tool that yields superior quality over conventional quantization, when applied to perceptually relevant signals. DPQ aims at the optimal rate-distortion trade-off, subject to preserving the source probability distribution. In this article we investigate the optimal DPQ for stationary Gaussian processes and the mean s...

متن کامل

Stationary Systems of Gaussian Processes

We describe all countable particle systems on R which have the following three properties: independence, Gaussianity, and stationarity. More precisely, we consider particles on the real line starting at the points of a Poisson point process with intensity measure m and moving independently of each other according to the law of some Gaussian process ξ. We describe all pairs (m, ξ) generating a s...

متن کامل

Small Deviations of Smooth Stationary Gaussian Processes

We investigate the small deviation probabilities of a class of very smooth stationary Gaussian processes playing an important role in Bayesian statistical inference. Our calculations are based on the appropriate modification of the entropy method due to Kuelbs, Li, and Linde as well as on classical results about the entropy of classes of analytic functions. They also involve Tsirelson’s upper b...

متن کامل

Realization Theory for Multivariate Stationary Gaussian Processes

This paper collects in one place a comprehensive theory of stochastic realization for continuous time stationary Gaussian vector processes which in various pieces has appeared in a number of our earlier papers. It begins with an abstract state space theory, based on the concept of splitting subspace. These results are then carried over to the spectral domain and described in terms of Hardy func...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: IEEE Transactions on Automatic Control

سال: 2021

ISSN: ['0018-9286', '1558-2523', '2334-3303']

DOI: https://doi.org/10.1109/tac.2020.3046567