Basic Spectral Description

- Audio Spectrum Envelope-

16-2 이 재 남

Definition of Basic Spectral Description

• The time series of logarithmic fre-quency description of the short-term power spectrum.

• Modeling of Human ear

Audio Spectrum Envelope (1)

• ASE is a log-frequency power spec-trum.

• Reduced spectrogram of the origin.

• Obtained by summing the energy of the original power spectrum within series of frequency bands.

Audio Spectrum Envelope (2)

• The bands are log2 distributed be-tween loEdge and hiEdge.

• R= 2^j octaves (-4<=j<=3)

• Edge = 2^(r*n) * 1kHz

Audio Spectrum Envelope (3)

• Default hiEdge = 16kHz• Default loEdge = 62.5Hz (8-octave)

• Bin = 8/r

• loFb = loEdge * 2^((b-1)*r)• hiFb = loEdge * 2^(b*r)

Audio Spectrum Envelope (4)

• ASE(b) = sigma P(k) : from loKb ~ hiKb

• P(k) = abs(S(k))^2

Audio Spectrum Envelope (5)

• Power spectrum coefficient whose distance to a band edge is less than half the FFT resolution

• To contribute to the ASE coefficients of both neighboring bands.

Audio Spectrum Envelope (6)

• Out band energy– Powers of the spectrum between 0Hz

and loEdge and between hiEdge and Fs/2

• B=Bin + 2

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