Log area ratio

From HandWiki

Log area ratios (LAR) can be used to represent reflection coefficients (another form for linear prediction coefficients)[1] for transmission over a channel.[2] While not as efficient as line spectral pairs (LSPs), log area ratios are much simpler to compute. Let rk be the kth reflection coefficient of a filter, the kth LAR is:[3]

Ak=log⁡1−rk1+rk

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

See also

References

  1. ↑ Chow, David; Abdulla, Waleed (January 2004). Speaker Identification Based on Log Area Ratio and Gaussian Mixture Models in Narrow-Band Speech: Speech Understanding / Interaction.. Lecture Notes in Computer Science. 3157. pp. 901–908. doi:10.1007/978-3-540-28633-2_95. ISBN 978-3-540-22817-2. https://www.researchgate.net/publication/221419513. 
  2. ↑ Strube, H. (October 1977). "Synthesis part of a "Log area ratio" vocoder in analog hardware". IEEE Transactions on Acoustics, Speech, and Signal Processing 25 (5): 387–391. doi:10.1109/TASSP.1977.1162984. ISSN 0096-3518. 
  3. ↑ Gutierrez-Osuna, Ricardo. "L7: Linear prediction of speech". p. 24. https://people.engr.tamu.edu/rgutier/lectures/sp/l7.pdf. 




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