Carlyon and Shackleton [J. Acoust. Soc. Am. 95, 3541-3554 (1994)] suggested that fundamental-frequency (F0) discrimination performance between resolved and unresolved harmonics is limited by an internal "translation" noise between the outputs of two distinct F0 encoding mechanisms, in addition to the encoding noise associated with each mechanism. To test this hypothesis further, F0 difference l...

The paper examines the singular value decomposition (SVD) for detection of remote harmonics in signals, in the presence of high noise contaminating the measured waveform. When the number of harmonics is very large and at the same time certain harmonics are distant from the other, the conventional frequency detecting methods are not satisfactory. The methods developed for locating the frequencie...

To analyze linear field equations on a locally homogeneous spacetime by means of separation of variables, it is necessary to set up appropriate harmonics according to its symmetry group. In this paper, the harmonics are presented for a spatially compactified Bianchi II cosmological model — the nilgeometric model. Based on the group structure of the Bianchi II group (also known as the Heisenberg...

In the analysis of crystallographic texture, the orientation distribution function of the grains is generally expressed as a linear combination of the generalized spherical harmonics. Recently, an alternative expansion of the orientation distribution function—as a linear combination of the hyperspherical harmonics—has been proposed, with the advantage that this is a function of the angles that ...

[1] We conduct laboratory experiments and direct numerical simulations on internal gravity waves generated by tidal flow over a model three‐dimensional Gaussian mountain on the sea floor. When 2w < N (where w is the tidal frequency and N is the buoyancy frequency), the flow generates second harmonic internal waves that propagate perpendicular to the tidal forcing direction. These unexpected har...

Power Quality is an essential aspect for reliable operation of power grid including Photovoltaic based generation. This paper focuses on real time problem of injection of harmonics and resonance into power network having 5MW solar plant. The solar plant includes 10 inverters each of 500KW connected to 33kV bus. Power produced by plant is explored via 4km cable at 220kV, where conventional plant...

In almost all applications of power electronics there is always an influence of harmonics and noise in voltage and current waveforms. In this paper, a harmonic rejection technique has been proposed based on neural network platform. An ANN model has been developed which when trained can remove harmonics from the output of the buck converter. In this paper, a buck converter has been designed in M...

– In this paper the operation behavior of three-way Doherty amplifier is analyzed, including the efficiency and linearity. Amplifier is designed in the configuration with two quarter-wave impedance transformers in the output combining circuit with LDMOSFETs in carrier and peaking amplifies. The signals for linearization (the fundamental signals’ second harmonics-IM2 and fourth-order nonlinear s...

An exact fast algorithm is developed for the spin-weighted spherical harmonics transforms of band-limited spin ±2 functions on the sphere. First, we recall the notion of spin functions on the sphere and their decomposition in an orthonormal basis of spin-weighted spherical harmonics. Second, we discuss the a priori O(L4) asymptotic complexity of the spin ±2 spherical harmonics transforms, where...