FOURIER TRANSFORM – MATERIALS ANALYSIS docx

... analysis of EXAFS data for obtaining structural information [N j , r j, σ j , λ j (k)] FOURIER TRANSFORM – MATERIALS ANALYSIS Edited by Salih Mohammed Salih Fourier Transform – ... of the Fourier transform. i. Linearity. If the signals x and y have the Fourier transform X and Y then the Fourier transform of xy α β + is XY α β + . ii. Symmetry....

Ngày tải lên: 27/06/2014, 00:20

... thus detectable) orbital radius – Fig. 7 a); Fourier Transform – Materials Analysis 36 Time-domain spectrum Frequency-domain spectrum Mass spectrum Fourier transform Conversion to m/z and ... of the Fourier transform. i. Linearity. If the signals x and y have the Fourier transform X and Y then the Fourier transform of xy α β + is XY α β + . ii. Symmetr...

Ngày tải lên: 27/06/2014, 00:20

... a slow Fourier transform, of order N 2 instead of order N log 2 N. Our advice is to stay clear of such FFT implementations, with perhaps one class of exceptions, the Winograd Fourier transform ... in these transforms, and the fact that the Winograd transform cannot be done “in place.” Finally, an interesting class of transforms for doing convolutions quickly are number theoretic tran...

Ngày tải lên: 21/01/2014, 18:20

... 534 Chapter 12. Fast Fourier Transform Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... Start of the permutation pass. jk >>= 1; while (jk == 1) { mm=n; 532 Chapter 12. Fast Fourier Transform Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) Copyright ... External Storage or Me...

Ngày tải lên: 21/01/2014, 18:20

... commonly used software approach is based on different modifications of the fast fourier transform (FFT), or the Hartley transform [Baumgarter et al., 1989; Djiev, 1997]. The main disadvantage concerning quality ... Djiev, S.N., 1997, Automated quality control using spectral criteria, in Proc. Control. Qual., 9( 1–3 ), 1 7–2 1. With permission from Elsevier Science.) k 1 ⌬ ␻ T s 2 ⌬ ␻...

Ngày tải lên: 23/01/2014, 03:20

... 3:27 http://www.ovarianresearch.com/content/3/1/27 Page 3 of 6 RESEA R C H Open Access Analysis of ovarian tumor pathology by Fourier Transform Infrared Spectroscopy Ranjana Mehrotra 1* , Gunjan Tyagi 1 , Deepak ... Fourier- transform infrared microspectroscopy. Clin Cancer Res 2002, 8:2010-2014. 25. Argov S, Ramesh J, Salman A, Sinelnikov I, Goldstein J, Guterman H, Mordechai S: Dia...

Ngày tải lên: 20/06/2014, 07:20

... decomposed. Chapter 8- The Discrete Fourier Transform 145 Type of Transform Example Signal Fourier Transform Fourier Series Discrete Time Fourier Transform Discrete Fourier Transform signals that are ... term: transform, is extensively used in Digital Signal Processing, such as: Fourier transform, Laplace transform, Z transform, Hilbert transform, Discrete Cosine...

Ngày tải lên: 13/09/2012, 09:49

... four members of the Fourier transform family (Fourier transform, Fourier Series, DFT, and DTFT). Figure 10-1 provides an example of how homogeneity is a property of the Fourier transform. Figure ... properties of the Fourier Transform, how a mathematical change in one domain results in a mathematical change in the other domain. Linearity of the Fourier Transform The Fourie...

Ngày tải lên: 13/09/2012, 09:49

... it is the Fourier transform pair of a very simple waveform, the rectangular pulse. For example, the sinc function is used in spectral analysis, as discussed in Chapter 9. Consider the analysis ... called Fourier transform pairs. Several common pairs are presented in this chapter. Delta Function Pairs For discrete signals, the delta function is a simple waveform, and has an equall...

Ngày tải lên: 13/09/2012, 09:49

... with zeros to make it an Chapter 12- The Fast Fourier Transform 235 TABLE 12-4 The Fast Fourier Transform in BASIC. 1000 'THE FAST FOURIER TRANSFORM 1010 'Upon entry, N% contains the ... the far right column in Fig. 12-3). 225 CHAPTER 12 The Fast Fourier Transform There are several ways to calculate the Discrete Fourier Transform (DFT), such as solving simultaneo...

Ngày tải lên: 13/09/2012, 09:50