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Fast Frequency Estimation by Zero Crossings of Differential Spline Wavelet Transform

Yu-Ping Wang, Jie Chen, Qiang Wu, Kenneth R. Castleman
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

Erdal Dinç, Zehra Yazan
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

Yu-Ping Wang, Qiang Wu, K.R. Castleman, Zixiang Xiong
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

Waldemar Rakowski
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

Yu-Ping Wang
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

Matteo D'Aloia, Annalisa Longo, Maria Rizzi
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


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

M. A. Ben Messaoud, A. Bouzid, N. Ellouze
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

Yu-Ping Wang, S.L. Lee, K. Toraichi
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

M. Unser
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]

Leonid Yaroslavsky
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]

Aïcha Bouzid, Noureddine Ellouze
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]

Zhidong Zhao, Yi Luo, Fangqin Ren, Li Zhang, Changchun Shi
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

J. Verhaeghe, D. Van De Ville, I. Khalidov, Y. D'Asseler, I. Lemahieu, M. Unser
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]

María de Lourdes Corzo-Cuesta, Carlos Alvarado-Serrano
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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