of the discrete wavelet transform

... through a filter, the carrier wave is delayed by the phase delay of the filter, while the modulation signal is delayed by the group delay of the filter. In the case of additive synthesis, group delay ... generator of the mathematical group consisting of the Mth roots of unity and their products. We will learn later that the Nth roots of unity are used to generate all the sinusoids used by the DFT ... Thus, the sinusoidal motion cos(ωt) is the projection of the circular motion e jωt DRAFT of “Mathematics of the Discrete Fourier Transform (DFT),” by J.O. Smith, CCRMA, Stanford, Winter 2002. The...

Ngày tải lên: 31/03/2014, 15:21

... eigenvectors of the DFT matrix inspired by the ideas behind bilinear transform. The bilinear transform maps the analog space to the discrete sample space. As jω in the analog s-domain is mapped to the ... aliasing in the discrete z-domain, it is appropriate to use it in the discretization of the eigenfunctions of the Fourier transform. We obtain Hermite-Gaussian-like eigenvectors of the DFT matrix. ... orthonormal eigenvectors of the DFT matrix, which is closer to the samples of Hermite-Gaussian functions, is crucial in the definition of the discrete fractional Fourier transform. In this work,...

Ngày tải lên: 21/06/2014, 16:20

... use of the work. Any republication, referencing or personal use of the work must explicitly identify the original source. Notice Statements and opinions expressed in the chapters are these of the ... technique. The technique con‐ sists of two stages: first stage is the pyramid transform and the second stage is the DWT. The watermark can be a logo image of size n×n pixels. If x 0 (n 1 ,n 2 ) was the ... values with two of the attacks. These attacks are the median filter and the JPEG compression. However, for the additive noise and the histogram equalization, it gives approximately the same average...

Ngày tải lên: 23/03/2014, 03:20

Ngày tải lên: 23/06/2014, 01:20

... on the shape of the waveform being decomposed. Chapter 8- The Discrete Fourier Transform 145 Type of Transform Example Signal Fourier Transform Fourier Series Discrete Time Fourier Transform Discrete ... chunk of data into another chunk of data. Let's see how this applies to the topic at hand: the Discrete Fourier transform. Notation and Format of the Real DFT As shown in Fig. 8-3, the discrete ... for the synthesis and decomposition. For instance, Fig. 8-1 is an example of the real DFT. The complex versions of the four Fourier transforms are immensely more complicated, requiring the use of...

Ngày tải lên: 13/09/2012, 09:49

Ngày tải lên: 03/01/2014, 19:50

... the “inverse” is named appropriately, since we really do recover x[n] exactly from {X[k]} N−1 k=0 . The proof of this is essentially identical to the proof given for the self-consistency of the ... reverse) the other sequence h[n] by drawing it CW around a circle. See illustration on subsequent page. • s[0] is the sum of the element-by-element product of the two sequences around the circle. For ... ω 0 = 2π N k 0 , then the sinc is sampled only at the peak and the nulls, which gives the Dirac impulse form above. Otherwise the sinc is sampled at many nonzero values, which gives the messy form...

Ngày tải lên: 08/06/2014, 20:19

... representation of the envelope, that is, the formant structure, of voiced speech. There- fore, the aim of the mel-scale subband integration (and, additionally, the truncation of the sequence of cepstral Hindawi ... 10) spectrograms of the vowel. extent, it needs to be investigated whether the better repre- sentation of the harmonics in the vicinity of the formants outweighs the smearing of the formants. 4.3. ... derivative of the instantaneous frequency oftheFrFTbasisfunction.Thereisstillnoeffective way to calculate the order optimally, that is, in a way that the chirp rates of the basis functions and of the...

Ngày tải lên: 21/06/2014, 20:20

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Ngày tải lên: 29/06/2014, 13:20

... in the expectation that a well–suited transformation will facilitate the reading, i.e., the analysis of the relevant information. Of course, the choice of the transform depends on the nature of ... synthesis with wavelets and even the definition of wavelet bases. Finally, it allows a review of the fast wavelet transform of Section 1.5 and a recovery of the missing detail information of Example ... Properties of the Short–time Fourier Transform . . . 15 1.4.3 Properties of the Wavelet Transform . . . 16 VI A FEW WORDS of the presented work. They all contributed to my dissertation with their...

Ngày tải lên: 25/12/2013, 05:17

... fundamentals of the wavelet theory: We discuss the time–frequency resolution of the wavelet transform and compare it to the common short–time Fourier transform. The multiscale property of the dyadic wavelet ... [Sch01d]. A historic overview of the development of the wavelet theory precedes the introduction of the (one– dimensional) continuous wavelet transform. Here, the definition of a wavelet and basic properties are ... function to Transforms Fourier transform of : Wavelet transform of with respect to : Approximation of at the scale Detail of at the scale Misc DCT Discrete cosine transform WT Wavelet transform Hz...

Ngày tải lên: 19/01/2014, 19:20

Ngày tải lên: 22/06/2014, 19:20

... to the expansion of the expert-manager category. These trends of intensi®ed proletarianization in the labor process generate the prediction of an expansion of the working class, an expansion of ... faced with the problem of extracting labor effort from workers. In the arsenal of strategies of social control available to the capitalist class, one of the key weapons is the degradation of work, ... uniquely attributed either to changes within sectors or to changes in the sectoral composition of the labor force. Rather, they result from the interaction of these two forces. This contribution to the overall...

Ngày tải lên: 01/11/2013, 07:20

... is the cross-sectional average of the bank-specific variable α i of those banks for which there is an observation in month t. As the composition of this sample changes in the course of time, the ... (column 3) and the model with only the regulation variables (column 4). The R 2 of the full model is 17.24%, i.e. the combined contribution of the systematic factor and the regulation to the total ... constant and the own funds decrease or increase. With the help of the two other specifications, it is possible to disentangle the contri- butions of the systematic factor and of the regulation....

Ngày tải lên: 16/02/2014, 06:20