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(a) Original spectrogram, (b) spectrogram of B4 and C5 notes, and (c) intensity matrices.
(a) Original spectrogram, (b) spectrogram of B4 and C5 notes, and (c) intensity matrices of all notes.
The template and intensity matrices can be adaptively learned from the current input frame and some previous input frames.
where is the state, is the measurement, the system noise and the measurement noises, are uncorrelated white Gaussian noises with zero mean and intensity matrices and, respectively, and,, and are matrices with compatible dimensions.
In Eq. 1, f x, y) is the pixel intensity or the gray scale value at a point (x, y) in the original image and g x, y) is the gray scale value at a point (x, y) in the translated image ( bar{f} ) and ( bar{g} ) are mean values of the intensity matrices f and g, respectively.
I̅ and R̅ are mean values of the intensity matrices I and R, respectively.
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The intensity matrix is subsequently calculated.
where is a white Gaussian noise with intensity matrix.
The other matrix is the intensity information of the notes and is called the intensity matrix or activation matrix.
The noise intensity matrix σ satisfies the bound condition with h 1 = h 2 = 0.36.
Note activations can not only eliminate pitch detection errors but also constrain the intensity matrix for each note.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com