Feedback Capacity of Gaussian Channels Revisited

• In this paper, we revisit the problem of finding the average capacity of the Gaussian feedback channel. First, we consider the problem of finding the average capacity of the analog Gaussian noise channel where the noise has an arbitrary spectral density. We introduce a new approach to the problem where we solve the problem over a finite number of transmissions and then consider the limit of an infinite number of transmissions. Further, we consider the important special case of stationary Gaussian noise with finite memory. We show that the channel capacity at stationarity can be found by solving a semi-definite program, and hence computationally tractable. We also give new proofs and results of the non stationary solution which bridges the gap between results in the literature for the stationary and non stationary feedback channel capacities. It’s shown that a linear communication feedback strategy is optimal. Similar to the solution of the stationary problem, it’s shown that the optimal linear strategy is to transmit a linear combination of the information symbols to be communicated and the innovations for the estimation error of the state of the noise process.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)

Nyckelord

Channel capacity

Gaussian noise

Gaussian processes

Noise measurement

Optimization

Symmetric matrices

Zinc

Gaussian distribution

Problem solving

Spectral density

Feedback strategies

Gaussian noise channels

Linear combinations

Noise measurements

Semidefinite programs

Stationary problem

Gaussian noise (electronic)

Publikations- och innehållstyp

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