This paper proposes the eccentric problem in the coiling process of cold rolling mills. The wavelets multiresolution control method is designed: A wavelets multi-resolution controller is introduced in the control cycle of coiling tension control, whose purpose is to acquire the element caused by periodically change of the coiling eccentricity. Then the signal without effectiveness of the coilin...

In ultrasonic testing of welding flaws, the reliability and quality of tests are considerably affected by noise and spurious signals. Thus, signal de-noising and increasing of the signal-noise ratio (SNR) are a key to successful application of ultrasonic NDT and NDE. At present, there are many methods for signal de-noising, such as median filtering, non-linear filtering, adaptive filtering, cor...

In this work bearing faults of a three phase induction motor are detected using the information contents of stator current. The proposed methodology is implemented by taking Wavelet transform of the three phase currents of the induction motor. Finally the diagnosis is performed by employing the Shannon Entropy of the detailed wavelet coefficients at the decided level of decomposition. The work ...

We present a multiscale description of hydrodynamic turbulence in incompressible fluid based on a continuous wavelet transform (CWT) and a stochastic hydrodynamics formalism. Defining the stirring random force by the correlation function of its wavelet components, we achieve the cancellation of loop divergences in the stochastic perturbation expansion. An extra contribution to the energy transf...

As one of the major directions in applied and computational harmonic analysis, the classical theory of wavelets and framelets has been extensively investigated in the function setting, in particular, in the function space L2(R). A discrete wavelet transform is often regarded as a byproduct in wavelet analysis by decomposing and reconstructing functions in L2(R) via nested subspaces of L2(R) in ...

In this paper we describe how the theory of wavelet thresholding introduced by Donoho and Johnstone can successfully be applied to two distinct problems in image processing where traditional linear ltering techniques are insuucient. The rst application is related to speckle reduction in coherent imaging systems. We show that the proposed method works well for reducing speckle in SAR images whil...

The admissibility condition of a mother wavelet is explored in the context of quantum optics theory. By virtue of Dirac’s representation theory and the coherent state’ property we derive a general formula for finding Mexican hat wavelets.

Problem statement: The synthesis of a command by the neural network has an excellent advantage over the classical one such as PID. This study presented a fast and accurate Wavelet Neural Network (WNN) approach for efficient controlling of an Active Magnetic Bearing (AMB) system. Approach: The proposed approach combined neural network with the wavelet theory. Wavelet theory may be exploited in d...

It is well-known that the Shannon Sampling Theorem allows us to fully recover a continuous-time bandlimited signal from its digital samples, as long as the sampling rate to be chosen is not smaller than the Nyquist frequency. This theory applies to all bandlimited signals, which may or may not occupy the entire frequency band. Hence, it is intuitively convincing that for continuous-time signals...

Introduction: A novel theory, called Compressed Sensing (CS) [1, 2], has demonstrated that MR images can be successfully reconstructed from a small number of k-space measurements [3]. The practical impact and success of CS in imaging applications can be attributed to the fact that most signals of practical interest have sparse representations in a transform domain. While initial CS techniques a...