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Fast Frequency Estimation by Zero Crossings of Differential Spline Wavelet Transform
2005
EURASIP Journal on Advances in Signal Processing
In this paper, we introduce a fast frequency-estimation method based on zero-crossing counting in the transform domain of a family of differential spline wavelets. ...
Zero crossings or extrema of a wavelet transform constitute important signatures for signal analysis with the advantage of great simplicity. ...
In Section 4, the main results will be derived pertaining to the connection of zero crossings of a differential spline wavelet transform with the frequency of a signal. ...
doi:10.1155/asp.2005.1251
fatcat:dmrjebpt7vgnziho3qh5zv73c4
Wavelet Transform-Based UV Spectroscopy for Pharmaceutical Analysis
2018
Frontiers in Chemistry
Wavelet transform is one of the most indispensable and popular signal processing methods currently used for noise removal, background correction, differentiation, data smoothing and filtering, data compression ...
This review article describes the theoretical aspects of wavelet transform (i.e., discrete, continuous and fractional) and its characteristic applications in UV spectroscopic analysis of pharmaceuticals ...
Shannon shan Frequency B-Spline fbsp Complex Morlet cmor
TABLE 2 | 2 Applications of the continuous wavelet transform-zero crossing technique to UV spectroscopic analysis of pharmaceuticals. ...
doi:10.3389/fchem.2018.00503
pmid:30416995
pmcid:PMC6212466
fatcat:xjhbj5cmr5h6tpb52zbpw3w3lm
Chromosome image enhancement using multiscale differential operators
2003
IEEE Transactions on Medical Imaging
In this paper, we apply a family of differential wavelet transforms (Wang and Lee, 1998), (Wang, 1999) for this purpose. ...
Index Terms--splines, chromosome karyotyping, contrast improvement ratio, differential operators, image enhancement, scalespace, wavelets. ...
An image can be decomposed and reconstructed from its differential components at multiple scales. By taking advantage of the spline properties, a fast algorithm was derived in [2] . ...
doi:10.1109/tmi.2003.812255
pmid:12846437
fatcat:gtobqb7fyfcjxndvhguknewh5a
Application of Cubic Box Spline Wavelets in the Analysis of Signal Singularities
2015
International Journal of Applied Mathematics and Computer Science
The disadvantage of the Mexican hat, however, is its unlimited support; the disadvantage of the quadratic box spline is a phase shift introduced by the wavelet, making it difficult to locate singular points ...
The article presents examples illustrating the use of cubic box spline wavelets in the analysis of signal singularities. ...
Acknowledgment This work was supported by the Białystok University of Technology under the grant S/WZ/1/2014. ...
doi:10.1515/amcs-2015-0066
fatcat:sl5pwbwdtbh5lkzn46ot4xd6mm
Image representations using multiscale differential operators
1999
IEEE Transactions on Image Processing
His current research interests include computer vision, signal analysis and various applications of wavelets, partial differential equations, fractals, and splines. ...
zero-crossings does not increase as the scale becomes larger. ...
Edges are usually detected by examining either the local maxima or the zero-crossings of the resulting images convoluted with these two operators. ...
doi:10.1109/83.806621
pmid:18267452
fatcat:fndttfsngbdhrnumwdepok2pfy
Noisy ECG Signal Analysis for Automatic Peak Detection
2019
Information
Subsequently, the identified zones are analyzed using the wavelet transform for R point detection and localization. ...
Six stages characterize the implemented method, which adopts the Hilbert transform and a thresholding technique for the detection of zones inside the ECG signal which could contain a peak. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/info10020035
fatcat:3xybp7bemrdcba7a5dy5wm5xfa
EMPIRICAL MODE DECOMPOSITION: APPLICATIONS ON SIGNAL AND IMAGE PROCESSING
2009
Advances in Adaptive Data Analysis
Comparisons with wavelet and Fourier analyses show that the Hilbert-Huang transform offers much better temporal and frequency resolutions. 52 We propose here an extension of the EMD to 2D-data. ...
The sifting procedure is based on two constraints: each IMF has the same number of zero-crossings and extrema, and also has symmetric envelopes defined by the local maxima, and minima, respectively. ...
Zero-crossings of IMF(Fig. 15) obtained by BEMD of wavy image(Fig. 10).
Fig. 26 . 26 Zero-crossings of IMF (Fig. 13) obtained by BEMD of cactus image(Fig. 5).144 J.-C. ...
doi:10.1142/s1793536909000059
fatcat:tqn22acpdnauxaigamsczyapg4
Automatic Segmentation Of The Clean Speech Signal
2015
Zenodo
The MP is based on making the product of the speech wavelet transform coefficients (WTC). We have estimated our method on the Keele database. The results show the effectiveness of our method. ...
In this paper, we apply two features based on multi-scale product (MP) of the clean speech, namely the spectral centroid of MP, and the zero crossings rate of MP. ...
Zero Crossings Rate of MP We have applied the MP because it gives a derived speech signal which is simpler to be analyzed. Then, we calculate the zero crossings rate of the MP. ...
doi:10.5281/zenodo.1099502
fatcat:3sjifwtvkredjpxvidggwhz3oy
Multiscale curvature-based shape representation using B-spline wavelets
1999
IEEE Transactions on Image Processing
The B B B-spline wavelet transforms are used to efficiently estimate the multiscale curvature functions. ...
The evolution of the curve is implemented in the B B B-spline scale-space, which enjoys a number of advantages over the classical Gaussian scale-space, for instance, the availability of fast algorithms ...
Toraichi is a member of the Institute of Electrical Engineers of Japan. ...
doi:10.1109/83.799886
pmid:18267433
fatcat:3da3msvr6jbipixb4gmmtef54q
Splines: a perfect fit for signal and image processing
1999
IEEE Signal Processing Magazine
between a band-limited function and its equidistant samples taken at a frequency that is superior or equal to the Nyquist rate 1761. ...
It is a question that arises naturally during the acquisition process where an analog signal or The textbook approach to those problems is provided by Shannon's sampling theory, which describes an equivalence ...
The idea is simple and was pioneered by Weaver et al. using orthogonal spline wavelets [114]: take the wavelet transform of a signal and set to zero the coefficients below some critical threshold while ...
doi:10.1109/79.799930
fatcat:hyj6fvdsxzce5koexs5dg7gfke
Compression, Restoration, Re-sampling, Compressive Sensing: Fast Transforms in Digital Imaging
[article]
2014
arXiv
pre-print
Transform image processing methods are methods that work in domains of image transforms, such as Discrete Fourier, Discrete Cosine, Wavelet and alike. ...
The paper presents a review of these methods with emphasis on their comparison and relationships, from the very first steps of transform image compression methods to adaptive and local adaptive transform ...
filtering, 10 transform zero padding, 6 uncertainty principle, 27 visible speech, 17 Walsh-Hadamard transform, 2 wavelet shrinkage, 17 wavelet transform, 2, 17
Table 1 . 1 Fast transforms, their main ...
arXiv:1408.6335v1
fatcat:afviw7ehkzbb5ow5yc2yxsh2z4
Voicing Detection in Noisy Speech Signal
[chapter]
2008
Lecture Notes in Computer Science
This algorithm is based on the product of wavelet transforms at some scales called multi-scale product. ...
Motivated by the fact that unvoiced sounds are, in most important speech production models, considered as filtered noise, we apply the multi-scale product on speech signal for detection of voiced segments ...
When the wavelet function has specific selected properties, wavelet transform acts as a differential operator. The number of wavelet vanishing moments gives the order of the differentiation. ...
doi:10.1007/978-3-540-69905-7_62
fatcat:blas5sh47rbyxjfnochpyytoki
Adaptive Analysis of Diastolic Murmurs for Coronary Artery Disease Based on Empirical Mode Decomposition
[chapter]
2013
Adaptive Filtering - Theories and Applications
Acknowledgements This paper is partly supported by the National Natural Science Foundation of China (grant no. 61102133) and supported by the Key Project of the Science Technology Department of Zhejiang ...
Province (grant no.2010C11065) and the project of Hangzhou Science and Technology Committee (grant no. 20110833B31). ...
In the whole dataset, the number of extrema and the number of zero-crossing must either be equal or differ at most by one.
2. ...
doi:10.5772/55690
fatcat:hi54p2q6sfc2fhthlhu2tzb2au
Dynamic PET Reconstruction Using Wavelet Regularization With Adapted Basis Functions
2008
IEEE Transactions on Medical Imaging
We address the issue of the selection of the "optimal" E-spline parameters (poles and zeros) and we investigate their effect on reconstruction quality. ...
Moreover, instead of using classical wavelets in the temporal dimension, we introduce exponential-spline wavelets (E-spline wavelets) that are specially tailored to model time activity curves (TACs) in ...
Zaidi of the Geneva University Hospital who has helped us with the Siemens data format and the calculation of the attenuation map, and Dr. I. ...
doi:10.1109/tmi.2008.923698
pmid:18599400
fatcat:m6hqayuefzg2fgxb7zw6jahiu4
An Algorithm Based on the Continuous Wavelet Transform with Splines for the Automatic Measurement of QT Dispersion: Validation and Application in Chronic Kidney Disease
[chapter]
2018
Topics in Splines and Applications
An algorithm for automatic measurement of QTd in the ECG leads DI, aVF and V2 using the continuous wavelet transform with splines is presented. ...
measurements defined by the experts. ...
Zero-padded filter: filtering with the expansion coefficients, spline of the basis wavelet p upsampling (with zeros) by a factor of m to obtain wavelet coefficients. ...
doi:10.5772/intechopen.74864
fatcat:v3kbdk6vv5cwpidxovqrxfdvta
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