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884
Use of continuous waveletlike transform in automated music transcription
 Proceedings of EUSIPCO (2006
"... This paper describes an approach to the problem of automated music transcription. The Continuous Waveletlike Transform is used as a basic timefrequency analysis of a musical signal due to its flexibility in timefrequency resolutions. The signal is then sequentially modeled by a number of tone har ..."
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Cited by 5 (3 self)
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This paper describes an approach to the problem of automated music transcription. The Continuous Waveletlike Transform is used as a basic timefrequency analysis of a musical signal due to its flexibility in timefrequency resolutions. The signal is then sequentially modeled by a number of tone
USE OF CONTINUOUS WAVELETLIKE TRANSFORM IN AUTOMATED MUSIC TRANSCRIPTION
"... This paper describes an approach to the problem of automated music transcription. The Continuous Waveletlike Transform is used as a basic timefrequency analysis of a musical signal due to its flexibility in timefrequency resolutions. The signal is then sequentially modeled by a number of tone har ..."
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This paper describes an approach to the problem of automated music transcription. The Continuous Waveletlike Transform is used as a basic timefrequency analysis of a musical signal due to its flexibility in timefrequency resolutions. The signal is then sequentially modeled by a number of tone
Hybrid Lifting WaveletLike Transform for Solution of Electromagnetic Integral Equation ¤
, 2007
"... A hybrid lifting waveletlike transform scheme is successfully applied to the solution of electric field integral equation using Rao–Wilton–Glisson basis functions. To speed up the matrix transform process, the lifting scheme is adopted. Numerical examples of different threedimensional perfectly el ..."
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A hybrid lifting waveletlike transform scheme is successfully applied to the solution of electric field integral equation using Rao–Wilton–Glisson basis functions. To speed up the matrix transform process, the lifting scheme is adopted. Numerical examples of different threedimensional perfectly
Solution of large dense complex matrix equations utilizing waveletlike transforms
 IEEE Trans. AP
, 1999
"... Abstract—Waveletlike transformations have been used in the past to compress dense large matrices into a sparse system. However, they generally are implemented through a finite impulse response filter realized through the formulation of Daubechies. In this paper, a method is proposed to use a very h ..."
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Cited by 2 (0 self)
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Abstract—Waveletlike transformations have been used in the past to compress dense large matrices into a sparse system. However, they generally are implemented through a finite impulse response filter realized through the formulation of Daubechies. In this paper, a method is proposed to use a very
Factoring wavelet transforms into lifting steps
 J. FOURIER ANAL. APPL
, 1998
"... This paper is essentially tutorial in nature. We show how any discrete wavelet transform or two band subband filtering with finite filters can be decomposed into a finite sequence of simple filtering steps, which we call lifting steps but that are also known as ladder structures. This decompositio ..."
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Cited by 584 (8 self)
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in the biorthogonal, i.e, nonunitary case. Like the lattice factorization, the decomposition presented here asymptotically reduces the computational complexity of the transform by a factor two. It has other applications, such as the possibility of defining a waveletlike transform that maps integers to integers.
MULTIRESOLUTION SIGNAL PROCESSING BY FOURIER TRANSFORM TIMEFREQUENCY CORRELATION ANALYSIS
"... In this paper, multiresolution signal processing is described, by the continuous Fourier transform, not the shorttime Fourier transform. The inverse Fourier transform is defined by the integral Fourier formula which is referred to as the correlation of the function (signal) with cosine waveforms ..."
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of various frequencies. This is a direct way to perform the timefrequency analysis of signals. The Fourier transform is described as the sum of waveletlike transforms with the cosine analyzing function of one period. Properties of such transforms, including the inverse formula of reconstruc
Fast Multipole Method Accelerated by Lifting Wavelet Transform Scheme
"... Abstractņ The lifting wavelet like transform (LWLT) is applied to the fast multipole method (FMM) to complete the scattering analysis of threedimensional (3D) objects. The aggregation matrix and disaggregation matrix are sparsified by the LWLT scheme in time. Numerical results for different shaped ..."
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Abstractņ The lifting wavelet like transform (LWLT) is applied to the fast multipole method (FMM) to complete the scattering analysis of threedimensional (3D) objects. The aggregation matrix and disaggregation matrix are sparsified by the LWLT scheme in time. Numerical results for different shaped
Sparse MRI: The Application of Compressed Sensing for Rapid MR Imaging
 MAGNETIC RESONANCE IN MEDICINE 58:1182–1195
, 2007
"... The sparsity which is implicit in MR images is exploited to significantly undersample kspace. Some MR images such as angiograms are already sparse in the pixel representation; other, more complicated images have a sparse representation in some transform domain–for example, in terms of spatial finit ..."
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Cited by 538 (11 self)
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due to random undersampling add as noiselike interference. In the sparse transform domain the significant coefficients stand out above the interference. A nonlinear thresholding scheme can recover the sparse coefficients, effectively recovering the image itself. In this article, practical incoherent
STILL IMAGE CODING USING A NEW TRANSFORM
"... In this paper, we propose an image coding scheme based on a waveletlike transform derived from orthogonal polynomial basis. First, 2D nonseparable wavelet functions are derived from a set of bivariate orthogonal polynomials. Then, a waveletlike transform coding scheme using the proposed wavelet f ..."
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In this paper, we propose an image coding scheme based on a waveletlike transform derived from orthogonal polynomial basis. First, 2D nonseparable wavelet functions are derived from a set of bivariate orthogonal polynomials. Then, a waveletlike transform coding scheme using the proposed wavelet
Results 1  10
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884