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The MDCT is a lapped, critically sampled cosine-modulated filter bank that maps 2N real input samples to N real coefficients per block. With properly chosen windows, adjacent blocks overlap by 50% and time-domain aliasing cancels (TDAC), yielding perfect reconstruction (PR). This chapter derives the MDCT from cosine modulation, expresses its first-order polyphase structure, and gives practical window choices and Python snippets for verification.

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The Modified Discrete Cosine Transform (MDCT)

  • 章节

  • 发表日期：

    2026年

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  • Gerald Schuller

摘要

The MDCT is a lapped, critically sampled cosine-modulated filter bank that maps 2N real input samples to N real coefficients per block. With properly chosen windows, adjacent blocks overlap by 50% and time-domain aliasing cancels (TDAC), yielding perfect reconstruction (PR). This chapter derives the MDCT from cosine modulation, expresses its first-order polyphase structure, and gives practical window choices and Python snippets for verification.