
Log Area Ratios
Encyclopedia
Log area ratios can be used to represent reflection coefficient
s (another form for linear prediction coefficients
) for transmission over a channel. While not as efficient as line spectral pairs
(LSPs), log area ratios are much simpler to compute. Let
be the kth reflection coefficient of a filter, the kth LAR is:
Use of Log Area Ratios have now been mostly replaced by Line Spectral Pairs, but older codecs, such as GSM-FR use LARs.
Reflection coefficient
The reflection coefficient is used in physics and electrical engineering when wave propagation in a medium containing discontinuities is considered. A reflection coefficient describes either the amplitude or the intensity of a reflected wave relative to an incident wave...
s (another form for linear prediction coefficients
Linear predictive coding
Linear predictive coding is a tool used mostly in audio signal processing and speech processing for representing the spectral envelope of a digital signal of speech in compressed form, using the information of a linear predictive model...
) for transmission over a channel. While not as efficient as line spectral pairs
Line spectral pairs
Line spectral pairs or line spectral frequencies are used to represent linear prediction coefficients for transmission over a channel. LSPs have several properties that make them superior to direct quantization of LPCs...
(LSPs), log area ratios are much simpler to compute. Let

Use of Log Area Ratios have now been mostly replaced by Line Spectral Pairs, but older codecs, such as GSM-FR use LARs.