Synchroextracting Transform
Citations
202 citations
Cites background or methods from "Synchroextracting Transform"
...We substitute Ts[1](t, η) into Ts[2](t, η), and then the MSST (N = 2) can be expressed as...
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...In this section, we focus on an abnormal vibration of a heavy oil catalytic machine set [2], [25]....
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...T IME-FREQUENCY (TF) analysis (TFA) is an effective tool to analyze time-varying signals and has drawn considerable attention in the past few decades [1], [2]....
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...If we substitute Ts[2](t, η) into Ts[3](t, η), the MSST (N = 3) can be derived as follows:...
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...This is because the rub-impact fault makes the rotor running at an unstable speed [2], [25]....
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141 citations
134 citations
Cites background from "Synchroextracting Transform"
...Considering that the different fault signals occupy distinct frequency bands, the joined time–frequency (TF) analysis (TFA) is an effective tool for characterizing transient faults that have nonstationary TF features [4]....
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...For more comparisons, we utilize the high-order SST (e.g., second-SST, third-SST, and fourth-SST) and SET methods to address this signal, and the TF results are shown in Fig....
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..., demodulated SST [17], matching SST [18], high-order SST [19], and synchroextracting transform (SET) [4]....
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...It can be observed that the SST and SET methods seem to TABLE III...
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...To further improve the performance of the SST, some advanced methods are proposed, e.g., demodulated SST [17], matching SST [18], high-order SST [19], and synchroextracting transform (SET) [4]....
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116 citations
111 citations
Cites background or methods from "Synchroextracting Transform"
...Nonstationary signals from practical sources are often manifested as multicomponent signals that can be modeled as [35]–[38]...
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...Several preprocessing and postprocessing techniques were developed to improve the readability of the TFR results calculated using the above-mentioned TFA techniques [26]–[38]....
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...Postprocessing techniques can be employed to improve the readability of TFR results by reallocating the TF coefficients of an original TFR into the correct IF trajectory positions [34]–[38]....
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...The goal of a TFA algorithm is to achieve an ITFA as [27], [30], [38]...
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...Several novel TFA techniques have been developed in recent years [22]–[38]....
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References
18,956 citations
"Synchroextracting Transform" refers background in this paper
...According to (4), the ITFA of a multicomponent signal is the superposition of ITFA of each monocomponent, and it is suggested to be decomposed first [15], [16]....
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1,704 citations
"Synchroextracting Transform" refers background or methods in this paper
...However, considering the calculation error and that the SEO’s real part needs to be utilized in practical applications [6], [17], it is suggested that (25) be rewritten as the following equation:...
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...As a benefit of the reconstruction ability, the monocomponent modes can be recovered from the SST result to a highly precise degree [6]....
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...For a well-separated multicomponent signal, the expression (16) can also work for estimating the IF of each mode effectively [6], [17], which is calculated by...
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...2696503 [6]–[8], parametric TFA (PTFA) method [9]–[12], and demodulated TFA (DTFA) method [7], [13]....
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...RS [4] and SST [6], [8] were developed as postprocessing tools and have the ability to reassign or squeeze the TF coefficients by classical TFA methods into the IF trajectory, which are approximated to the ITFA representation....
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1,268 citations
"Synchroextracting Transform" refers methods in this paper
...Recently, some advanced postprocessing methods have been proposed, such as the reassignment method (RS) [4], [5], synchrosqueezing transform (SST)...
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...RS [4] and SST [6], [8] were developed as postprocessing tools and have the ability to reassign or squeeze the TF coefficients by classical TFA methods into the IF trajectory, which are approximated to the ITFA representation....
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699 citations
"Synchroextracting Transform" refers methods in this paper
...The TFA method has been developed over many years, and classical TFA methods include the short-time Fourier transform (STFT), wavelet transform, and Wigner–Ville distribution [3]....
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458 citations
"Synchroextracting Transform" refers methods in this paper
...Recently, some advanced postprocessing methods have been proposed, such as the reassignment method (RS) [4], [5], synchrosqueezing transform (SST)...
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