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 ${\displaystyle r_{k}}${\displaystyle r_{k}} be the kth reflection coefficient of a filter, the kth LAR is:

${\displaystyle A_{k}=\log {1-r_{k} \over 1+r_{k}}}${\displaystyle 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.

• Line spectral pairs

• Lossy compression algorithms
• Data compression
• Computing stubs

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