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Log area ratio information


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 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.

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Log area ratio

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Log area ratios (LAR) can be used to represent reflection coefficients (another form for linear prediction coefficients) for transmission over a channel...

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Partition coefficient

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logarithm of the ratio is thus log P.: 275ff  When one of the solvents is water and the other is a non-polar solvent, then the log P value is a measure...

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Ratio distribution

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A ratio distribution (also known as a quotient distribution) is a probability distribution constructed as the distribution of the ratio of random variables...

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Logarithm

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formula: log b ⁡ x = log 10 ⁡ x log 10 ⁡ b = log e ⁡ x log e ⁡ b . {\displaystyle \log _{b}x={\frac {\log _{10}x}{\log _{10}b}}={\frac {\log _{e}x}{\log _{e}b}}...

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Golden ratio

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In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed...

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Geometric mean

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log ⁡ ( a i ) − log ⁡ ( a ) ) 2 = ∑ i = 1 n ( log ⁡ ( a i / a ) ) 2 {\displaystyle f(a)=\sum _{i=1}^{n}(\log(a_{i})-\log(a))^{2}=\sum _{i=1}^{n}(\log(a_{i}/a))^{2}}...

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Decibel

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power ratios are equal to amplitude ratios squared. The ratio in decibels of 10 W to 1 mW (one milliwatt) is obtained with the formula L G = 10 log 10 ⁡...

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Linear predictive coding

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prediction filter unstable. There are more advanced representations such as log area ratios (LAR), line spectral pairs (LSP) decomposition and reflection coefficients...

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American wire gauge

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005~\mathrm {inch} }}\right)+36=-39\log _{92}\left({\frac {d_{n}}{0.127~\mathrm {mm} }}\right)+36} and the cross-section area is A n = π 4 d n 2 ≈ 0.000019635...

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Line spectral pairs

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quantizing LPC filters. Line spectral frequencies can be interpolated. Log area ratios Speex manual and source code (lsp.c) "The Computation of Line Spectral...

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Logit

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{\text{for}}\quad p\in (0,1).} Because of this, the logit is also called the log-odds since it is equal to the logarithm of the odds p 1 − p {\displaystyle...

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Fibonacci sequence

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to n log b ⁡ φ = n log ⁡ φ log ⁡ b . {\displaystyle n\log _{b}\varphi ={\frac {n\log \varphi }{\log b}}.} Johannes Kepler observed that the ratio of consecutive...

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Binary logarithm

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exponentiation: log 2 ⁡ x y = log 2 ⁡ x + log 2 ⁡ y {\displaystyle \log _{2}xy=\log _{2}x+\log _{2}y} log 2 ⁡ x y = log 2 ⁡ x − log 2 ⁡ y {\displaystyle \log _{2}{\frac...

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List of abbreviations in oil and gas exploration and production

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CG EL log[clarification needed] CGL – core gamma log CGPA – Canadian Gas Processors Association CGPH – core graph log CGR – condensate gas ratio CGTL –...

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List of common display resolutions

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Pixel aspect ratio (PAR) The horizontal to vertical ratio of each pixel. Storage aspect ratio (SAR) The horizontal to vertical ratio of solely the number...

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Well logging

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Well logging, also known as borehole logging is the practice of making a detailed record (a well log) of the geologic formations penetrated by a borehole...

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Fibonacci word fractal

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golden ratio. Generalizing to an angle α {\displaystyle \alpha } between 0 and π / 2 {\displaystyle \pi /2} , its Hausdorff dimension is 3 log ⁡ φ log ⁡ (...

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Rejection sampling

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distribution in log space (e.g. log-probability or log-density) instead. That is, work with h ( x ) = log ⁡ g ( x ) {\displaystyle h\left(x\right)=\log g\left(x\right)}...

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Treemapping

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sub-regions of specified areas. Ideally, a treemap algorithm would create regions that satisfy the following criteria: A small aspect ratio—ideally close to one...

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Absorbance

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Absorbance is defined as "the logarithm of the ratio of incident to transmitted radiant power through a sample (excluding the effects on cell walls)"...

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Gini coefficient

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Gini coefficient (/ˈdʒiːni/ JEE-nee), also known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent the income...

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