Table 2 Overview of mathematical notations used in this paper
From: From raw audio to a seamless mix: creating an automated DJ system for Drum and Bass
Notation | Explanation |
|---|---|
x(n) | Audio signal, sample n. |
\(x_{\text {frame}}^{[N_{F};N_{H}]}(m)\) | Audio frame m using frame size NF samples and hop size NH samples. |
\(\phantom {\dot {i}\!}X^{[N_{F};N_{H}]}(m,k)\) | Spectrum or spectrum-like features of frame m, frequency bin k, calculated on audio frames using frame size NF samples and hop size NH samples. |
\(\mathcal {X}^{[N_{F};N_{H}]}(m[,k,l,...])\) | Feature vector for frame m, calculated on audio frames using frame size NF samples and hop size NH samples. Additional indices k or l are used to index subcomponents of the feature vector. |
Γ(·) | Onset detection function. |
Nt=fst | The number of samples within a time difference t. |
\(L_{t}=\frac {N_{t}}{N_{H}}\) | The number of frames within a time difference t. |