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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

Author

Facundo Franchino

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Preprint Sep 2026

Exact Factorisation and Fast Computation of Invertible Constant-Q Transforms

The constant-Q transform (CQT) represents audio on a logarithmic frequency axis. Its nonstationary Gabor formulation is exactly invertible, but the unequal numbers of time coefficients in its bands complicate GPU computation. An exact factorisation combines spectral selection, conjugation, windowing, and reordering int...

Facundo Franchino, Eloi Moliner, V. Välimäki · 0 citations

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