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Discrete Wavelet Transform Signal Analyzer
IEEE Transactions on Instrumentation and Measurement, 2007This paper addresses the problem of processing biological data, such as cardiac beats in the audio and ultrasonic range, and on calculating wavelet coefficients in real time, with the processor clock running at a frequency of present application-specified integrated circuits and field programmable gate array.
Cox, Pedro Henrique +1 more
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Numerical Condition of Discrete Wavelet Transforms
SIAM Journal on Matrix Analysis and Applications, 1997In many applications biorthogonal wavelets have been used rather than orthogonal ones, since the latter might exclude other useful properties like symmetry in the case of compactly supported wavelets. Thus one would like to study stability of biorthogonal wavelets and obtain quantitative information about sensitivity to noise in the data or ...
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Efficient inverse discrete wavelet transformer
2017 6th Mediterranean Conference on Embedded Computing (MECO), 2017This paper describes the efficient one-dimensional inverse discrete wavelet transformer with 5/3 filter. The described design makes use of the same registers for both low-pass and high-pass filtering in different time slots. The design utilizes 33% less registers, 17% less logic elements, has 7% higher maximum operating frequency and 2% lower total ...
Goran Savic +3 more
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CONVOLUTION FOR THE DISCRETE WAVELET TRANSFORM
International Journal of Wavelets, Multiresolution and Information Processing, 2011Translation and convolution associated with the discrete wavelet transform are investigated using properties of Calderón–Zygmund operator and Riesz fractional integral operator. Dual convolution is also studied. The wavelet convolution is applied to approximate functions belonging to certain Lp-spaces.
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Discrete Wavelet Transform Domain Techniques
2013 International Conference on Informatics and Creative Multimedia, 2013In this paper we focus on the process of embedding and retrieving on DWT domain in format of video. We therefore have chosen some proposed technique in DWT. We choose DWT because as it provides both spatial and frequency domain characteristic of the signal.
Farnaz Arab +2 more
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Discrete Wavelet Transform (DWT)
2015The wavelet transform can be seen as a wavelet-based expansion (decomposition) of a finite-energy signal. In the discrete wavelet transform (DWT), economy in the representation of the signal and possibility of perfect signal reconstruction (PR) are crucial.
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Discrete wavelet transforms in VLSI
[1992] Proceedings of the International Conference on Application Specific Array Processors, 2003Three architectures, based on linear systolic arrays, for computing the discrete wavelet transform, are described. The AT/sup 2/ lower bound for computing the DWT in a systolic model is derived and shown to be AT/sup 2/= Omega (N/sup 2/N/sub w/k). Two of the architectures are within a factor of log N from optimal, but they are of practical importance ...
M. Vishwanath, R.M. Owens, M.J. Irwin
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Discrete Wavelet Transform: From Frames to Fast Wavelet Transform
2002Both the short-time Fourier transform and the continuous wavelet transform can be seen as operators that project the signal s(t) from the one-dimensional time domain into the two-dimensional time-frequency plane. In the case of the continuous wavelet transform the scaling a and delay b are assumed to be continuous in value; that is, it is said that the
Agostino Abbate +2 more
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The Discrete Wavelet Transform
1991Abstract : In a general sense, this report represents an effort to clarify the relationship of discrete and continuous wavelet transforms. More narrowly, it focuses on bringing together two separately motivated implementations of the wavelet transform, the algorithm a trous and Mallat's multiresolution decomposition.
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