Lossless Audio Coding Using the IntMDCT and Rounding Error Shaping

In this paper, lossless audio coding using the integer modified discrete cosine transform (IntMDCT) is discussed. The IntMDCT is constructed as an integer approximation of the MDCT using the lifting scheme and is reversible. The rounding error shape of the IntMDCT is derived. When the spectral energ...

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Bibliographic Details
Published in:IEEE transactions on audio, speech, and language processing speech, and language processing, 2006-11, Vol.14 (6), p.2201-2211
Main Authors: Yokotani, Y., Geiger, R., Schuller, G.D.T., Oraintara, S., Rao, K.R.
Format: Article
Language:English
Subjects:
Applied sciences
Audio coding
Audio signals
Coding
Coding, codes
Decoding
Digital audio players
Discrete cosine transforms
Discrete transforms
Errors
Exact sciences and technology
Filters
Frequency
Hoisting
Information, signal and communications theory
Integer modified discrete cosine transform (IntMDCT)
Integers
lifting scheme
Lossless
lossless audio coding
Matrix decomposition
Miscellaneous
multidimensional lifting (MDL) scheme
Performance loss
Rounding
rounding error
rounding error shaping
Roundoff errors
Signal and communications theory
Signal processing
Spectra
Telecommunications and information theory
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Summary:In this paper, lossless audio coding using the integer modified discrete cosine transform (IntMDCT) is discussed. The IntMDCT is constructed as an integer approximation of the MDCT using the lifting scheme and is reversible. The rounding error shape of the IntMDCT is derived. When the spectral energy of the input audio signal is concentrated at the low frequencies, the rounding error spectrum limits the lossless coding performance. A method for shaping the rounding error in the transform domain is presented. This rounding error shaping scheme manipulates the error so that it is below the spectral envelope of the signal at the high frequencies in order to improve the lossless coding performance for the signal. Examples of an error shaping filter design are presented and verified by simulations. An IntMDCT-based lossless coding implementation is carried out to illustrate the use of the error shaping filters
ISSN:1558-7916
2329-9290
1558-7924
2329-9304
DOI:10.1109/TASL.2006.872613