Abstract
Two useful autoregressive (AR) identities relating the reflection coefficients (the Ks), the AR coefficients (the as) and two particular AR spectral values (one at d.c., and the other at half of the sampling frequency) are obtained from a geometric interpretation of a recursive algorithm to compute both the magnitude and the phase spectra of an AR model directly from the complex reflection coefficients. These identities can be used to check for correct a-to- K and K-to- a conversions in the Levinson recursions. Furthermore, it is shown here that if the Ks are not available, some stability information can be provided directly from the as.
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