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Bandwidth expansion : ウィキペディア英語版
Bandwidth expansion
Bandwidth expansion is a technique for widening the bandwidth or the resonances in an LPC filter. This is done by moving all the poles towards the origin by a constant factor \gamma. The bandwidth-expanded filter A'(z) can be easily derived from the original filter A(z) by:
:A'(z) = A(z/\gamma)
Let A(z) be expressed as:
:A(z) = \sum_^a_kz^
The bandwidth-expanded filter can be expressed as:
:A'(z) = \sum_^a_k\gamma^kz^
In other words, each coefficient a_k in the original filter is simply multiplied by \gamma^k in the bandwidth-expanded filter. The simplicity of this transformation makes it attractive, especially in CELP coding of speech, where it is often used for the perceptual noise weighting and/or to stabilize the LPC analysis. However, when it comes to stabilizing the LPC analysis, lag windowing is often preferred to bandwidth expansion.
== References ==
P. Kabal, "Ill-Conditioning and Bandwidth Expansion in Linear Prediction of Speech", ''Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing'', pp. I-824-I-827, 2003.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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