Abstract:Fast Fourier Transform has long been established as an essential tool in signal processing. To address the computational issues while helping the analysis work for multi-dimensional signals in image processing, sparse Fast Fourier Transform model is reviewed here when applied in different applications such as lithography optimization, cancer detection, evolutionary arts and wasterwater treatment. As the demand for higher dimensional signals in various applications especially multimedia appplications, the need … Show more
“…Afterwards, removal of fours edges in each image reduces the dimension from 28 × 28 into 8 × 8 but preserves most of frequency features. The reasons for using FFT include not only dimensionality reduction but also the feasibility of FFT in integrated photonics 46,47 .…”
Photonic neural network has been sought as an alternative solution to surpass the efficiency and speed bottlenecks of electronic neural network. Despite that the integrated Mach–Zehnder Interferometer (MZI) mesh can perform vector-matrix multiplication in photonic neural network, a programmable in-situ nonlinear activation function has not been proposed to date, suppressing further advancement of photonic neural network. Here, we demonstrate an efficient in-situ nonlinear accelerator comprising a unique solution-processed two-dimensional (2D) MoS2 Opto-Resistive RAM Switch (ORS), which exhibits tunable nonlinear resistance switching that allow us to introduce nonlinearity to the photonic neuron which overcomes the linear voltage-power relationship of typical photonic components. Our reconfigurable scheme enables implementation of a wide variety of nonlinear responses. Furthermore, we confirm its feasibility and capability for MNIST handwritten digit recognition, achieving a high accuracy of 91.6%. Our accelerator constitutes a major step towards the realization of in-situ photonic neural network and pave the way for the integration of photonic integrated circuits (PIC).
“…Afterwards, removal of fours edges in each image reduces the dimension from 28 × 28 into 8 × 8 but preserves most of frequency features. The reasons for using FFT include not only dimensionality reduction but also the feasibility of FFT in integrated photonics 46,47 .…”
Photonic neural network has been sought as an alternative solution to surpass the efficiency and speed bottlenecks of electronic neural network. Despite that the integrated Mach–Zehnder Interferometer (MZI) mesh can perform vector-matrix multiplication in photonic neural network, a programmable in-situ nonlinear activation function has not been proposed to date, suppressing further advancement of photonic neural network. Here, we demonstrate an efficient in-situ nonlinear accelerator comprising a unique solution-processed two-dimensional (2D) MoS2 Opto-Resistive RAM Switch (ORS), which exhibits tunable nonlinear resistance switching that allow us to introduce nonlinearity to the photonic neuron which overcomes the linear voltage-power relationship of typical photonic components. Our reconfigurable scheme enables implementation of a wide variety of nonlinear responses. Furthermore, we confirm its feasibility and capability for MNIST handwritten digit recognition, achieving a high accuracy of 91.6%. Our accelerator constitutes a major step towards the realization of in-situ photonic neural network and pave the way for the integration of photonic integrated circuits (PIC).
“…FFT can efficiently convert the signal to obtain information on each frequency component of the signal in the frequency domain. In practical engineering applications, FFT takes advantage of its speed to process signals in the engineering field in real time, which has great practical value [24].…”
In recent years, the fault diagnosis methods based on deep learning have been widely applied. In practical engineering, there are great distribution differences between the training and testing data in the network, which leading to the low diagnosis reliability. And transfer learning can solve such problems by learning domain invariant features. In this paper, a multi-channel convolutional online transfer network (MC-OTN) model for rolling bearing fault diagnosis is proposed. In the model, the offline stage merges the time domain and frequency domain features of the original data. A three-channel dataset is constructed as input of the network. And the domain invariant features can be learnt by fully training the offline stage network model. The online model is initialized by the parameters transferred from the offline network. The model also designs an online update strategy according to the prediction error. So that the model can adapt to new data, and finally realize the online diagnosis of the rolling bearing fault state. The validity and accuracy of the model are verified by the different laboratory measurement of rolling bearing operating datasets.
“…Elements of measurement matrix representing RS can then be obtained as = { 1 0 if = otherwise (10) and the information signal elements become…”
Section: Elaboration Of Shortcomingsmentioning
confidence: 99%
“…It can only be applied on certain signals and the entire framework-sampling and reconstruction-has to be tailored to each individual application. Despite this disadvantage CS has found its way into applications such as medical imaging [5][6][7][8], audio [9] and video [10][11][12] processing, vibration sensing [13,14] data gathering [15] etc.…”
This work presents a novel unconventional method of signal reconstruction after compressive sensing. Instead of usual matrices, continuous models are used to describe both the sampling process and acquired signal. Reconstruction is performed by finding suitable values of model parameters in order to obtain the most probable fit. A continuous approach allows more precise modelling of physical sampling circuitry and signal reconstruction at arbitrary sampling rate. Application of this method is demonstrated using a wireless sensor network used for freshwater quality monitoring. Results show that the proposed method is more robust and offers stable performance when the samples are noisy or otherwise distorted.
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