Power-type cancellation for the simplex Hilbert transform

Power quality disturbance classification using Hilbert transform and RBF networks

This paper presents the application of Hilbert transform and artificial neural network (ANN) for power quality (PQ) disturbance classification. The input features of the ANN are extracted from the envelope of the disturbance signals by applying Hilbert transform (HT). The features obtained from the Hilbert transform are distinct, understandable and immune to noise. These features after normaliz...

Ship Power Quality Detection based on Improved Hilbert-Huang Transform

Hilbert-Huang Transform (HHT) and its improved method are introduced to detect and analyze power quality in ship power system for the first time, in this paper. The HHT method is used to detect surge current, voltage sag and swell, voltage interruption, etc. of the ship power system. By means of Hilbert-Huang transform, Beginning time, ending time, time-frequency, timeamplitude of the disturban...

Wiener-wintner for Hilbert Transform

We prove the following extension of the Wiener–Wintner Theorem and the Carleson Theorem on pointwise convergence of Fourier series: For all measure preserving flows (X,μ, Tt) and f ∈ L(X,μ), there is a set Xf ⊂ X of probability one, so that for all x ∈ Xf we have lim s↓0 ∫ s<|t|<1/s e f(Tt x) dt t exists for all θ. The proof is by way of establishing an appropriate oscillation inequality which ...

An inequality for the hilbert transform.

Oscillation and Variation for the Hilbert Transform

Hf (x)= lim →0+ H f (x). It is well known that this limit exists a.e. for all f ∈ L, 1 ≤ p < ∞. In this paper, we will consider the oscillation and variation of this family of operators as goes to zero, which gives extra information on their convergence as well as an estimate on the number of λ-jumps they can have. For earlier results on oscillation and variation operators in analysis and ergod...