An audio signal level compressor is presented, which is based on the approximation algorithm using an interpolating polynomial. To implement a compression characteristic in a digital audio system, a power calculation with fractional numbers is required and it is difficult to be performed directly in digital circuits. We introduce a polynomial expression to approximate the power operation, then the gain calculation is easily performed with a number of additions, multiplications and a division. Newton's interpolation formula is used to calculate the compression characteristics in a very short time and the obtained compression characteristics are very close to the ideal ones.
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Shugang WEI, Kensuke SHIMIZU, "Dynamic Range Compression Characteristics Using an Interpolating Polynomial for Digital Audio Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 2, pp. 586-589, February 2005, doi: 10.1093/ietfec/e88-a.2.586.
Abstract: An audio signal level compressor is presented, which is based on the approximation algorithm using an interpolating polynomial. To implement a compression characteristic in a digital audio system, a power calculation with fractional numbers is required and it is difficult to be performed directly in digital circuits. We introduce a polynomial expression to approximate the power operation, then the gain calculation is easily performed with a number of additions, multiplications and a division. Newton's interpolation formula is used to calculate the compression characteristics in a very short time and the obtained compression characteristics are very close to the ideal ones.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.2.586/_p
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@ARTICLE{e88-a_2_586,
author={Shugang WEI, Kensuke SHIMIZU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Dynamic Range Compression Characteristics Using an Interpolating Polynomial for Digital Audio Systems},
year={2005},
volume={E88-A},
number={2},
pages={586-589},
abstract={An audio signal level compressor is presented, which is based on the approximation algorithm using an interpolating polynomial. To implement a compression characteristic in a digital audio system, a power calculation with fractional numbers is required and it is difficult to be performed directly in digital circuits. We introduce a polynomial expression to approximate the power operation, then the gain calculation is easily performed with a number of additions, multiplications and a division. Newton's interpolation formula is used to calculate the compression characteristics in a very short time and the obtained compression characteristics are very close to the ideal ones.},
keywords={},
doi={10.1093/ietfec/e88-a.2.586},
ISSN={},
month={February},}
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TY - JOUR
TI - Dynamic Range Compression Characteristics Using an Interpolating Polynomial for Digital Audio Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 586
EP - 589
AU - Shugang WEI
AU - Kensuke SHIMIZU
PY - 2005
DO - 10.1093/ietfec/e88-a.2.586
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2005
AB - An audio signal level compressor is presented, which is based on the approximation algorithm using an interpolating polynomial. To implement a compression characteristic in a digital audio system, a power calculation with fractional numbers is required and it is difficult to be performed directly in digital circuits. We introduce a polynomial expression to approximate the power operation, then the gain calculation is easily performed with a number of additions, multiplications and a division. Newton's interpolation formula is used to calculate the compression characteristics in a very short time and the obtained compression characteristics are very close to the ideal ones.
ER -