Linear Filtering in MDCT Domain

Sreenivas TV, Suresh K. Linear Filtering in MDCT Domain. In: AES Convention 124. Audio Engineering Society; 2008. Paper 7340. Available from: https://aes.org/publications/elibrary-page/?id=14470

@inproceedings{Sreenivas2008_14470,
  author = {Sreenivas, T. V. and Suresh, Kumaraswamy},
  title = {{Linear Filtering in MDCT Domain}},
  booktitle = {AES Convention 124},
  note = {Paper 7340},
  year = {2008},
  month = may,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=14470}
}

TY  - CPAPER
TI  - Linear Filtering in MDCT Domain
AU  - Sreenivas, T. V.
AU  - Suresh, Kumaraswamy
T2  - AES Convention 124
M1  - Paper 7340
PY  - 2008
DA  - 2008/05/06
UR  - https://aes.org/publications/elibrary-page/?id=14470
PB  - Audio Engineering Society
LA  - en
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.
ER  -