Abstract
A mathematical formulation is given of the temporal and spectral characteristics of sound, including sound path information such as transmission in a room. The autocorrelation analysis of sound followed by a single reflection produces a condition where the direct sound is enhanced by the reflection without spectral degradation. Frame-wise auto-correlation analysis reveals some of the significant source signatures from reverberant speech in which the original speech is embedded. This partly explains why intelligible speech can be delivered under adverse reverberation. The early portion of the auto-correlation sequences for impulse responses between the source and receiving positions yields macroscopic power spectral features, such as the power spectral envelopes, that are not highly sensitive to the reverberation condition and thus are preserved even in a reverberation field. In addition, the spectral energy analysis of temporal envelopes of speech reveals that some of the significant narrow-band envelopes could be enhanced even in the coherent region close to the sound source in a room.
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Tohyama, M. (2015). Temporal and Spectral Enhancement by Sound Path. In: Waveform Analysis of Sound. Mathematics for Industry, vol 3. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54424-1_4
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DOI: https://doi.org/10.1007/978-4-431-54424-1_4
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