The betatron tune in the Large Hadron Collider (LHC) is measured using a Base-Band Tune (BBQ) system. processing of these BBQ signals often perturbed by 50 Hz noise harmonics present beam. This causes measurement algorithm, currently based on peak detection, to provide incorrect estimates during acceleration cycle with values that oscillate between neighbouring harmonics. LHC feedback (QFB) can...

This paper introduces an algorithm for beamforming systems by the aid of multidimensional harmonic retrieval (MHR). resolves problems, removes limitations sampling and provides a more robust beamformer. A new sample space is created that can be used estimating weights called spatial-harmonics beamformer (SHRB). Simulation results show SHRB has better performance, accuracy, applicability powerfu...

Intermodulation and harmonics are important in frequency analysis of nonlinear systems. In neuron research, most investigations are taken in studying synchronization between the external stimuli and the output of neuron, but harmonics and intermodulation are often ignored. In this paper, harmonics and intermodulation of the subthreshold FitzHugh-Nagumo neuron are investigated and their magnitud...

electric arc furnace (eaf) is one of the largest loads in electric power systems. it is highly time varying and nonlinear. its reactive power variations cause voltage fluctuations in nearby system which is known as flicker. on the other hand the nonlinear voltage-current characteristic causes strong voltage and current harmonics in eaf. to this end flexible ac transmission systems (facts) techn...

This paper analyzes the digital signal processing techniques and estimates induction motor (IM) rotational speed operating in stationary or non-stationary conditions. Rotor slot harmonics present stator current waveform are used to estimate with a given identified rotor numbers. paper’s contribution is following: First, zoom improved short-time Chirp-Z transform find supply frequency harmonic i...

An exact fast algorithm is developed for the direct spin-weighted spherical harmonics transforms of bandlimited spin ±2 functions on the sphere. First, we define 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 2L stan...

Among the symmetries in physics, the rotation symmetry is most familiar to us. It is known that the spherical harmonics serve useful purposes when the world is rotated. Squeeze transformations are also becoming more prominent in physics, particularly in optical sciences and in high-energy physics. As can be seen from Dirac’s light-cone coordinate system, Lorentz boosts are squeeze transformatio...