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Spectral Distortion in Lattice Filters

Title: Re: head directivity data & phoneme spectral statistic

Dear Members of the list:


My question is related to quantization of Linear Prediction (LP) Parameters.


I know very well that LP parameters are mapped onto Reflection Coefficients and we get a lattice filter.


Now, lets say I have an order K Lattice filter: implying that I’ve a concatenation of first-order lattice filters.


If we quantize the parameters (i.e. the reflection coefficients) of each these first-order sections we get a Spectral Distortion associated with it, say D_k (k = 1,2,….,K). I would like to know if there is any straightforward relationship between these first-order Spectral Distortions to the overall Spectral Distortion in an order-K system.

For example, lets say, D_total = D_1 + D_2 +…… + D_K.


Is there any work done on this field? Is it possible to predict the overall distortion just from the knowledge of the distortion in the first-order section?


I’ll be extremely grateful if someone can cite some references or maybe some indication on the overall distortion.


Best Regards,