fundamentals of the discrete haar 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...

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... m g is the mass of the gas in the bulb; c pg , the specific heat of the gas; m w ,themass of the wall of the bulb; c pw , the specific heat of the wall; h f , the heat transfer coefficient between the ... h p is the heat transfer coefficient from the metallic part to the gas; A p , the surface area of the metallic part in contact with the gas; h g , the heat transfer coefficient of the gas to the wall; ... A g , the surface area of the gas in contact with the wall; h w , the heat transfer coefficient from the wall to the atmosphere; A w , the wall area in contact with the atmosphere;  p and  w , the...

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... invalidating the design. 80 CHAPTER 7. RAY TRACING AND ROTATIONS •(Θ, Φ)ˆz effects a rotation of the coordinate system such that the new direction cosines are given by the angles of the scatter. The result ... (2.8) with the normalization condition x 0 y 0  = 1, the only “moment” that must be defined. 3 “Inelastic” in this definition relates to the energy of the photon changing, not the energy of the atom. 4.4. ... variables in the range [0,1], then the number that fall within dr 1 divided by the number that fall within dr 1 is equal to the ratio of the probability distribution at x 1 to x 2 . (Recall the interpretation...

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... engine. The glow plug is turned off after the engine is started. Head The piece which closes the end of the cylinders, usually containing part of the clearance volume of the combustion chamber. The ... valves in block had the intake valve on one side of the cylin- der and the exhaust valve on the other side. These were called T Head engines. Preface xiii Keeping with the trend of the world, SI units ... which can be lifted if the vacuum is at the top of the cylinder and the piston moves up. [kg] (b) Mass which can be lifted if the vacuum is at the bottom of the cylinder and the piston moves down....

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... since the disease results mainly from the development of a population of immune cells that attack the myelin sheaths of neurons, the replacement of the stem cell population generat- ing these ... un- derstanding the science is not sufficient to ensure wisdom in either. The difficulty is whether disagreement comes from ignorance of the facts or from different interpretation of the meaning of the facts. ... discov- eries. He served as the provost for research and graduate studies at the State Uni- versity of New York and as president of the University of Maine. He then moved to the University of California at...

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... 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

... choppy. Some examples of mother wavelets: a) Haar Wavelet b) Daubechie’s 4 Wavelet c) Daubechie’s 6 Wavelet 2. Why use Wavelets? The Haar Wavelet transform provide a method of imaging compression ... multiplication! 3.2 The Haar Wavelet transform 3.2.1 The Haar Forward Transform Each step in the forward Haar transform calculates a set of wavelet coefficients and a set of averages. If a data ... wavelet algorithm 3. Haar wavelets 3.1 Haar Wavelet basis functions The Haar transform uses square pulses to approximate the original function. The basis functions for Haar wavelets at some level...

Ngày tải lên: 14/03/2014, 13:20

... 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...

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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

... on the top, down one side of the face, one side of the nose, the upper edge of the upper lip, the lower lip and the top of the chin. The eyes are both in shadow, the right one more so, as are the ... begin on the other colours. I put in the blue edge to the bowl and then the basic yellow of the bananas and the yellow and green of the apples. Next, I drew the pattern on the plate and also the very ... over the shadowed faces of the buildings, allowing for a toning down of the purple. Then with a warmer brown tone, you can mark in some of the darker windows and roofs and the front façade of the...

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