This paper presents a novel system for multi-pitch tracking, i.e. estimate the pitch trajectory of each monophonic source in a mixture of harmonic sounds. The system consists of two stages: multi-pitch estimation and pitch trajectory formation. In the first stage, we propose a new approach based on modeling spectral peaks and non-peak regions to estimate pitches and polyphony in each single fra...

A new algorithm is presented for adaptive comb filtering and parametric spectral estimation of harmonic signals with additive white noise. The algorithm is composed of two cascaded parts. The first estimates the fundamental frequency and enhances the harmonic component in the input, and the second estimates the harmonic amplitudes and phases. Performance analysis provides new results for the as...

We introduce a solid harmonic wavelet scattering representation, which is invariant to rigid movements and stable to deformations, for regression and classification of 2D and 3D images. Solid harmonic wavelets are computed by multiplying solid harmonic functions with Gaussian windows dilated to different scales. Invariant scattering coefficients are obtained by cascading such wavelet transforms...

We introduce a solid harmonic wavelet scattering representation, invariant to rigid motion and stable to deformations, for regression and classification of 2D and 3D signals. Solid harmonic wavelets are computed by multiplying solid harmonic functions with Gaussian windows dilated at different scales. Invariant scattering coefficients are obtained by cascading such wavelet transforms with the c...

When the harmonic spectrum is known, or at least can be measured with a certain reliability or predicted, the additional losses can be easily calculated. The process of calculation should be made through the following steps: 1. Determination of all the components of additional losses due to the presence of harmonics. 2. Determination of the harmonic spectrum, either by measurement or by estimat...

A new algorithm based on least-squares method for harmonic and interharmonic analysis is proposed. The approach employs least-squares method and is based on a linear prediction relation for multiple sinusoidal signals. It is shown that the method allows for accurate harmonic and interharmonic estimation with high frequency resolution. The approach is compared with that of DFT method and prony m...

This paper presents an efficient Harmonic-CELP hybrid coder at 2.4 kbps utilizing the well-known characteristics of the Harmonic and CELP coders. According to frame voicing decision, the proposed hybrid coder switches the RP-VSELP coder as a fast CELP in case of unvoiced, or an improved Harmonic coder in case of voiced. The proposed Harmonic-CELP hybrid coder has several features as follows: fa...

This paper describes a real-time method, called PreFEst (Predominant-F0 Estimation method), for estimating the fundamental frequency (F0) of simultaneous sounds in monaural polyphonic audio signals. Without assuming the number of sound sources, PreFEst can estimate the relative dominance of every possible harmonic structure in the input mixture. It treats the mixture as if it contains all possi...