The problem of separating a mixture of periodic signals into its constituent components occurs in sound detection, biomedical signal processing, and in communications. Existing approaches to solving it are either based on harmonic selection in the frequency domain or on linear comb filtering in the time-domain. In this paper, the recently proposed matrix algebraic separation approach is analyze...

We demonstrate that piano transcription performance for a known piano can be improved by explicitly modelling piano acoustical features. The proposed method is based on non-negative matrix factorisation, with the following three refinements: (1) introduction of attack and harmonic decay components; (2) use of a spike-shaped note activation that is shared by these components; (3) modelling the h...

A highly integrated frequency quadrupler MMIC that uses three-dimensional MMIC (3D-MMIC) technology is presented. It consists of four driver amplifiers, two doublers, and a 2-band elimination filter. These seven circuits are integrated in only a 2.36 mm2 area. The filter sufficiently suppresses spurious output components. The third and fifth harmonic components, which are the spurious component...

Cheeger, Goresky, and MacPherson conjectured [CGM] an L2-de Rham theorem: that the intersection cohomology of a projective variety V is naturally isomorphic to the L2cohomology of the incomplete manifold V − Sing V , with metric induced by a projective embedding. The early interest in this conjecture was motivated in large part by the hope that one could then put a Hodge structure on the inters...

Harmonic resonance may cause abnormal operation and even damage of power facilities, further threatening normal and safe operation of power systems. For renewable energy generations, controlled loads and parallel reactive power compensating equipment, their operating statuses can vary frequently. Therefore, the parameters of equivalent fundamental and harmonic admittance/impedance of these comp...

Algorithms for ground vehicle classification using acoustic measurements often use features based on the relative amplitudes of harmonic components. The average power measured at each harmonic frequency fluctuates due to scattering of the acoustic waves during propagation and additive noise at the sensor. In this paper, we use propagation models for frequencydependent scattering of acoustic sig...

In this paper, we develop a new representation for outgoing solutions to the time harmonic Maxwell equations in unbounded domains in R. This representation leads to a Fredholm integral equation of the second kind for solving the problem of scattering from a perfect conductor, which does not suffer from spurious resonances or low frequency breakdown, although it requires the inversion of the sca...

Evidence suggests that synchronized brain oscillations in the low gamma range (around 33 Hz) are involved in the perceptual integration of harmonic complex tones. This process involves the binding of harmonic components into "harmonic templates" - neural structures responsible for pitch coding in the brain. We investigated the hypothesis that oscillatory harmonic binding promotes a change in pi...

The detection and processing of information carried by evanescent field components are key elements for subwavelength optical microscopy as well as single molecule sensing applications. Here, we numerically demonstrate the potential of a hyperbolic medium in the design of an efficient metamaterial antenna enabling detection and tracking of a nonlinear object, with an otherwise hidden second-har...

This paper presents an improved method for determining the share of harmonic distortion generated by utility and customer in a distribution system. The method is based on a Norton equivalent circuit to represent the whole system, modeling the customer side with RLC components by using measured voltage and current at the point of common coupling (PCC). The proposed method evaluates the contribut...