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Recursive Hilbert Transform Method: Algorithm and Convergence Analysis
The Hilbert transform (HT) is an important method for signal demodulation and instantaneous frequency (IF) estimation. The modulus of the analytic...
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Comprehensive analysis of aero-engine vibration signals based on wavelet transform method
A single type of signal processing means that it is difficult to analyze vibration signals comprehensively and effectively. By comprehensively using...
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Advanced Synchronization Check Method Using Hilbert Transform-Based Voltage Envelope Analysis
When connecting a generator to a power system in operation, it is important to synchronize the two systems. If the two systems are not exactly...
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Classification of ECG Arrhythmia Using Wavelet Packet Transform Analysis and Sparse Learning Method
Medical knowledge along with electrocardiogram (ECG) arrhythmia classification using artificial intelligence-based methods can be very useful and...
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A New Secure Data Communication Method Using Wavelet Transform
Data communication is part of life now and its security is of utmost importance. Cryptographers provide new methods for security and intruders always...
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An autoadaptive Haar wavelet transform method for particle size analysis of sands
The Sed360 is a semi-automated image-based system for generating Particle Size Distributions (PSDs) of sands from an image of a sedimented soil...
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Fuzzy natural transform method for solving fuzzy differential equations
This article establishes a new transform method to seek the solution to some fuzzy differential equations. For the first time in the literature, the...
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A fast filtering method for digital signals of electronic measuring instruments in the laboratory based on Fourier transform
In response to a series of problems such as high computational complexity, slow processing speed, poor denoising effect, signal loss, energy...
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A Review of Synchro-Transform Method in Mechanical Fault Diagnosis
Many Synchro-Transforms (ST) variants are being actively developed recently to break through the limitations of the traditional time–frequency...
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Acquisition Method of Time–Frequency Distribution Based on Short-Time Fractional Fourier Transform
With people's attention to the non-stationary characteristics of signals, the traditional frequency domain analysis methods cannot meet the needs of...
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Application of continuous wavelet transform based on Fast Fourier transform for the quality analysis of arc welding process
SMAW (Shielded Metal Arc Welding) and GMAW (Gas Metal Arc Welding) are two of the most prominent welding processes commonly utilized in almost all...
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Main Lobe Interference Suppression Method Based on Fractional Fourier Transform
The Fractional Fourier transform has a good energy aggregation effect for linear frequency modulation (LFM) signals commonly used in radar systems....
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Fourier Transform Method for Dynamic Analysis of the Track Structure
With the advantages of flexibility and simplicity of calculation, the Fourier transform method is widely used in the dynamic analysis of various...
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Free vibration analysis of saturated porous circular micro-plates integrated with piezoelectric layers; differential transform method
The current work investigates axisymmetric vibration of saturated porous circular micro-plates subjected to uniform in-plane force and coupled with...
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The z-Transform
In the chapter, the z-transform is presented. The z-transform is developed starting from the DTFT as a generalization of the Fourier analysis....
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Power Quality Detection Method Based on Lifting Wavelet and Fast Fourier Transform
In order to obtain power quality disturbance information accurately and efficiently, a power quality disturbance detection method based on lifting...
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A Data Processing and Analysis System for Fourier Transform Infrared Spectrometer
Existing Fourier transform infrared spectrometers have problems such as noise interference, baseline drift, low accuracy and stability of spectrum...
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An improved blind watermarking method facing dual color images based on Hadamard transform
This paper proposes a blind color image watermarking method based on Hadamard transform to deal with the infringement of color images in the complex...
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Time–Frequency Analysis Using Stockwell Transform with Application to Guided Wave Structural Health Monitoring
In damage detection strategies it is of importance to use as straightforward and accurate as possible methodologies to detect the defects in...
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Discrete Fourier Transform
In the chapter, Discrete Fourier Transform, the most often used version of Fourier analysis, the DFT and its inverse are derived with appropriate...