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In this work, we consider the application of unitary filter banks for multiple description coding of independent, identically distributed Gaussian vector sources. We derive the redundancy-rate-distortion bound for this class of signals. It is shown that for two-dimensional (2-D) Gaussian vector sources (resulting in a two-description system), 2/spl times/2 block transforms give all the achievable optimal points in the redundancy-rate-distortion function among the class of all unitary filter banks. Similar results can be obtained for higher-dimensional transforms.