Signal Processing with Lapped Transforms
Signal Processing with Lapped Transforms
IEEE MultiMedia
A modulated complex lapped transform and its applications to audio processing
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 03
Parametric coding of stereo audio
EURASIP Journal on Applied Signal Processing
Binaural rendering in MPEG surround
EURASIP Journal on Advances in Signal Processing
Fast IMDCT and MDCT algorithms - a matrix approach
IEEE Transactions on Signal Processing
Parametric multichannel audio coding: synthesis of coherence cues
IEEE Transactions on Audio, Speech, and Language Processing
A Backward-Compatible Multichannel Audio Codec
IEEE Transactions on Audio, Speech, and Language Processing
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We use Modified Discrete Cosine Transform (MDCT) to analyze and synthesize spatial parameters. MDCT in itself lacks phase information and energy conservation, which are needed by spatial parameters representation. Completing MDCT with Modified Discrete Sine Transform (MDST) into "MDCT-j*MDST" overcomes this and enables the representation in a form similar to that of DFT. And due to overlap-add in time domain, a MDST spectrum can be built perfectly from MDCT spectra of neighboring frames through matrix-vector multiplication. The matrix is heavily diagonal and keeping only a small number of its sub-diagonals is sufficient for approximation. When using MDCT based core coder in spatial audio coding, like Advanced Audio Coding (AAC), we need no separate transforming for spatial processing, cutting down significantly the computational complexity. Subjective listening tests also show that MDCT domain spatial processing has no quality impairment.