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In this paper we derive an expression for the minimum-mean-square error achievable in encodingtsamples of a stationary correlated Gaussian source. It is assumed that the source output is not known exactly but is corrupted by correlated Gaussian noise. The expression is obtained in terms of the covariance matrices of the source and noise sequences. It is shown that ast \rightarrow \infty, the result agrees with a known asymptotic result, which is expressed in terms of the power spectra of the source and noise. The rate of convergence to the asymptotic results as a function of coding delay is investigated for the case where the source is first-order Markov and the noise is uncorrelated. WithDthe asymptotic minimum-mean-square error andD_tthe minimum-mean-square error achievable in transmittingtsamples, we find\mid D_t - D \mid \leq O((t^{-1} \log t) ^ {1/2})when we transmit the noisy source vectors over a noiseless channel and\mid D_t - D \mid \leq O((t^{-1} \log t)^ {1/3})when the channel is noisy.

This paper is concerned with the transmission of information with a fidelity criterion where the source output may be distorted prior to encoding and, furthermore, where the output of the decoder may be distorted prior to its delivery to the final destination. The criterion for optimality is that the normalized average of the squared norm of the difference between theT- second undistorted source sample and the correspondingT-second sample delivered to the final destination be minimum. The optimal structure of the encoder and decoder is derived for anyT.

A model, which had a9 its aim tho simulation of one or two oporator man-machino Bystems, is presented and discussed. Tho purpose of the tochnique is to allow prediction of Bystom offoctivonoss during the early design stage and to enable the comparative evaluation of alternative system dosigna. The modol is based on the use of a digital computer which sequentially simulates operator performance of oach subtask in a total task. As a result of calculations, output records are obtained for such items aa task success or failure, operator stress conditions, idle time, team cohesivonoss, and, in the ovent of sueeossful task completion, time available but unspent.The model was applied to tho simulation of two tasks. Tho first is tho in-flight refuolling of an F8U receiver aircraft by an A4D tanker aircraft; the second is an attack manoouvre by an advanced supersonic aircraft.Tho rosults from the model as reflected through tho digital simulation were compared with empirical critorion data obtained for both tasks and were further evaluated on the basis of their compatibility with logical expectation. Tho rosults from these initial applications of the model, which are summarized and evaluated, appear to conform with actual observations and are generally reasonable