In this paper, we are concerned with the weighted arithmetic-harmonic, mixed arithmetic-geometric and mixed geometric-harmonic mean inequalities.
Faiz et al. [11] employed instantaneous power harmonics to detect mixed IM eccentricity defect.
Nonlinear ultrasonic phenomena such as higher harmonics mode or mixed frequency response are represented by wave propagation through a solid medium (Payan et al. 2010; Van Den Abeele et al. 2000b).
However, as the instantaneous frequency of the mixed harmonics can be retrieved with accuracy independently of the value of the initial phase, the original and the synthetically mixed partials (using the separated contribution from each source) present similar sounds (provided that the first assumption is true).
The frequency responses of the associated filters with the first eight filter banks are shown in Figure 4. We adopt l = floor(L/4) = 115 columns for the Nyström method and half columns for the Column-Sampling approximation. Figure 4a-f shows that the first six filters have band-pass characteristics so that they mostly capture the three sinusoidal harmonics of the mixed signals.
In the third experiment, we mixed two harmonic note intervals from the same instrument.
The proposed two-stage algorithm can be summarized as follows: Step 1. Array signal modeling: Apply spherical harmonic representation and construct mixed field array signal model in the spherical harmonics domain in (23).
The shell displacements (longitudinal, circumferential and radial) are expanded by means of a double mixed series: harmonic functions for the circumferential variable and three different formulations for the longitudinal variable; these three different formulations are: (a) Chebyshev orthogonal polynomials, (b) power polynomials, and (c) trigonometric functions.
Without loss of generality, common bases and individual bases are applied to recover the rhythmic signal and the harmonic signal, respectively, from a mixed audio signal.
where P s k ( t ) are the original harmonics which overlap in the mixed partial.
In this paper we present a mixed "multiple time scale – harmonic balance" (MHB) method for a quite general non-linear oscillations problem subject to a periodic force.
