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T.. V.. Sreenivas, and K. Suresh, "Linear Filtering in MDCT Domain," Paper 7340, (2008 May.). doi: T.. V.. Sreenivas, and K. Suresh, "Linear Filtering in MDCT Domain," Paper 7340, (2008 May.). doi:
Abstract: In this paper, expressions for convolution multiplication properties of MDCT are derived starting from the equivalent DFT representations. Using these expressions, methods for implementing linear filtering through block convolution in the MDCT domain are presented. The implementation is exact for symmetric filters and approximate for non-symmetric filters in the case of rectangular window based MDCT. For a general MDCT window function, the filtering is done on the windowed segments and hence the convolution is approximate for symmetric as well as non-symmetric filters. This approximation error is shown to be perceptually insignificant for symmetric impulse response filters. Moreover, the inherent $50 \%$ overlap between adjacent frames used in MDCT computation does reduce this approximation error similar to smoothing of other block processing errors. The presented techniques are useful for compressed domain processing of audio signals.

@article{sreenivas2008linear,
author={sreenivas, t. v. and suresh, kumaraswamy},
journal={journal of the audio engineering society},
title={linear filtering in mdct domain},
year={2008},
volume={},
number={},
pages={},
doi={},
month={may},} @article{sreenivas2008linear,
author={sreenivas, t. v. and suresh, kumaraswamy},
journal={journal of the audio engineering society},
title={linear filtering in mdct domain},
year={2008},
volume={},
number={},
pages={},
doi={},
month={may},
abstract={in this paper, expressions for convolution multiplication properties of mdct are derived starting from the equivalent dft representations. using these expressions, methods for implementing linear filtering through block convolution in the mdct domain are presented. the implementation is exact for symmetric filters and approximate for non-symmetric filters in the case of rectangular window based mdct. for a general mdct window function, the filtering is done on the windowed segments and hence the convolution is approximate for symmetric as well as non-symmetric filters. this approximation error is shown to be perceptually insignificant for symmetric impulse response filters. moreover, the inherent $50 \%$ overlap between adjacent frames used in mdct computation does reduce this approximation error similar to smoothing of other block processing errors. the presented techniques are useful for compressed domain processing of audio signals.},}

TY - paper
TI - Linear Filtering in MDCT Domain
SP - EP -
AU - Sreenivas, T. V.
AU - Suresh, Kumaraswamy
PY - 2008
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - May 2008 TY - paper
TI - Linear Filtering in MDCT Domain
SP - EP -
AU - Sreenivas, T. V.
AU - Suresh, Kumaraswamy
PY - 2008
JO - Journal of the Audio Engineering Society
IS -
VO -
VL -
Y1 - May 2008
AB - In this paper, expressions for convolution multiplication properties of MDCT are derived starting from the equivalent DFT representations. Using these expressions, methods for implementing linear filtering through block convolution in the MDCT domain are presented. The implementation is exact for symmetric filters and approximate for non-symmetric filters in the case of rectangular window based MDCT. For a general MDCT window function, the filtering is done on the windowed segments and hence the convolution is approximate for symmetric as well as non-symmetric filters. This approximation error is shown to be perceptually insignificant for symmetric impulse response filters. Moreover, the inherent $50 \%$ overlap between adjacent frames used in MDCT computation does reduce this approximation error similar to smoothing of other block processing errors. The presented techniques are useful for compressed domain processing of audio signals.