To estimate the predictability of the observed data in the prediction of a room impulse response, the concept of concentrated space is introduced. The predictability is discussed based on the dimension analysis of the concentrated space and estimated for the optimum prediction method using the prolate spheroidal functions. The theoretic result is compared with the result of a psychological acoustic experiment designed to evaluate the extrapolation methods with different bandwidth and different length of observed data.
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https://aes2.org/publications/elibrary-page/?id=9105
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