Addendum to ´The Rate Distortion Function of a Gaussian Process with a weighted-square Error Criterion´

In a previous correspondence we derived parametric expressions for the rate distortion function of a Gaussian process under a weighted-square error criterion. Our prior formulation had two deficiencies: one, of a physical orientation, was that transient effects were ignored; the second relates to analytical tractability in applying the results. In this correspondence we correct these shortcomings.