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Log area ratio

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Title: Log area ratio  
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Subject: Context tree weighting, Shannon–Fano–Elias coding, Dynamic Markov compression, Elias gamma coding, Line spectral pairs
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Log area ratio

Log area ratios (LAR) can be used to represent reflection coefficients (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 r_k be the kth reflection coefficient of a filter, the kth LAR is:

A_k = \log{1-r_k \over 1+r_k}

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

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