1. Fontana's treatment relies heavily on the use of Fourier transforms, is very theoretical and mentions few applications.

2. She discovered the feminist theories of Charles Fourier and apparently got a kick out of stealing mistresses from their lovers.

3. Suppose that an input signal with Fourier transform is applied to a four-terminal network for which the transfer function is.

4. The technique uses Fourier transforms, and reportedly correctly recognises at least 5000 words using 24 various font styles, including cursive ones.

5. Fast Fourier Transform complete code can be used.

6. In addition, Fourier finite difference operator is optimized desirably.

7. Graphic Presentation of Application Related Concepts in Fourier Analysis.

8. Some interpolated Discrete Fourier Transform ( DFT ) methods are analyzed.

9. Images orthogonal transformation, including the Fourier, discrete cosine, Walsh, based on the feature vector, wavelet transform.

10. Based on Fourier analysis of spatial frequency filtering, the variations in frequency of grating image in the spatial filtering experiment are discussed, in which the input is a grating-like object.

11. Using Fourier self - deconvolution ( FSD ) to enhance spectral resolution of AOTF atomic emission spectrometer is described.

12. The Fast Fourier Transform Algorithm is an important signal analysis method, and FFT application in the earth resistance tester can improve its anti-interference ability.

13. Compared with traditional inverse Fourier transform method, which used zeros padding method, at the same condition of sampling resolution, the method proposed could decrease the calculation load.

14. This paper presents a Fourier transform pair of a stagger-lag autocorrelation function and its power spectral density (PSD).

15. As well as the frequency spectrum, one can define wave number spectra - Fourier transforms of the space correlations.

16. Even when such a calculation is not followed through, the insight obtained from the Fourier series concept is often helpful.

17. Extensive facilities for evaluation of catalytic activity include Auger electron spectroscopy and diffuse reflectance and transmission Fourier transform infrared spectroscopy.

18. At the opposite extreme of a pulse of extremely long duration, the Fourier spectrum only contains extremely low frequencies.sentence dictionary

19. This paper analyze the modes in rod by short -time fourier transform. The results of time- frequency analysis are consistent with the group velocity dispersion curve.

20. According to the desired accuracy, we determine the number of terms in the Fourier series and Legendre polynomials, then the Practical simplified formulae are obtained.

21. An integral expression for the time domain output response of traveling wave (TW) electrooptic phase modulator is derived by using the scalar wave equation and Fourier transform technique.

22. Based on the prime radix DFT and number theory, an algorithm using the second order recursive filter and the zero factor prime radix Fourier Transform (ZFT) is presented.

23. By comparing several of protection algorithms, the topic adopts the Fourier algorithm with the first cut linter difference, which can reduce the effect of the damping DC component efficiently.

24. The calculations are based on optical constant data derived from measurements by dispersive Fourier transform spectroscopy.

25. The objects 3 - D profile are reconstructed by using of the Fourier transform.

26. The magnetic field sensitivity data are obtained by recording the response of the magnetometer for about 40s, performing a fast Fourier transform (FFT).

27. We enhance the edge of images, segment the area of image, process image mainly in MATLAB in the frequency, try a Fourier transform processing and wavelet transform processing.

28. At the second, the program of hardware realization of fractional Fourier transform has been proposed base on the Discrete Algorithm II of fractional Fourier transform.

29. A multi - distorted invariant orthogonal moments, Jacobi - Fourier moments ( JFM ), were proposed.

30. Measuring and analyzing technology based on variable - interval Fourier transform was dealt with for accelerating noise signal.

31. The trick is to use what is known as a "fast Fourier transform" to unpick more than 300 separate colours of light in a laser beam, each encoded with its own string of information.

32. A microscope image formation model based on scalar diffraction and Fourier optics has been developed, which takes a slant angle between the optical axis and the observed surface into account.

33. The Rang - Doppler imaging forms imagery through one dimension Fourier - transformed twice in Cartesian coordinate.

34. The content of Chinese herbs, medicine and medicament can be quantified without destruction by Diffused Reflection Fourier Transform and Near Infrared Spectroscopy (DR NIR FTIR).

35. D FFT ( Fast Fourier Transform ) transform code, compile and can operate normally.

36. The synthesized films were characterized by X - ray photoelectron spectroscopy and Fourier transform infrared spectroscopy.

37. An object image can be sampled first and then Fourier transformed by a computer, so that he complex amplitude and phase distribution can be encoded to form a computer-generated hologram (CGH).

38. DCT is based on FFT ( Fast Fourier Transform ), so integers FFT transform must be structured firstly.

39. The mathematical model of Fourier power spectrum is derived. The relations between the resolving power of the test chart and the critical maximum are defined through t...

40. This paper introduces an algorithm for calculating the Discrete Fourier Transform with continuous Fourier Transform of continuous signal. An example is given to verify this algorithm.

41. In the two-sublattice model, the Heisenberg exchange interaction Hamiltonian of the simple ferrimagnetic crystal can be made diagonalization by the use of HP, Fourier and Bogoliubov transformation.

42. Based on the theory of scalar diffraction and on the Fourier optics, a formula of the diffractive efficiency with alignment error for the 4 step Fresnel lens is obtained.

43. On the basis of the mathematical elastic theory, the bending deflection expression of the complex Fourier Series is derived at first for the infinite plate with a unit circle.

44. Fourier transform infra red ray spectrum (FT IR), differential scanning calorimeter(DSC) and cross link density were employed in the experiment, and the relation...

45. Comparing with Fourier full-cycle filtering method, it has more advantageous in restricting nonperiodic component.

46. The OTF (Optical Transfer Function) of an optical system can be evaluated by the Fourier Transform of the first derivative of the optical image of an knife-edge (object).

47. The Fourier coefficients have been numerically calculated for the typical objects, and by using optical filtering the objects are extracted from pictures.

48. The result indicates that fractional Fourier transform is the proper mathematic tools to Fresnel diffraction.

49. The Fourier amplitude spectrum used in a seismological model can be expressed as a product of source spectrum,[] propagation path factor and site effect in frequency domain.

50. The Short Time Fourier Transform (STFT) is utilized to estimate the power spectral density (PSD) of the tunneling-current signals and the data's feature vector was extracted in the frequency space.

51. The critical part of this sight is a holographic optical elements combined with a lensless Fourier transform hologram and a holographic beam transformer.

52. In this paper, a pulsar de - dispersion algorithm on Short Time Fourier Transform ( STFT ) is presented.

53. According to the established 3 D scene, we analyzed the convolution reconstruction method and Fourier reconstruction method.

54. Finally, the initial processing of 15 accelerograms, such as baseline correction and calculation of acceleration peaks, Fourier spectra and response spectra etc. , were done.

55. Fast Fourier Transform in C source code integrity, and can be used directly.

56. In this paper, separation variable method is applied to solve a Fourier solution for the Dirichlet question in circle of poisson equation.

57. By utilizing the character of dissymmetrical fractional fourier transform and combine the algorithm advantage of space domain and frequency domain, it presents a blind image watermarking algorithm.

58. This paper discusses the relation between Fourier series and wavelet transform.

59. But in essence, the short-time Fourier transformation is a method of ingle resolution because it uses an unchanged short-time widow function.

60. The discrete Fourier transform ( DFT ) and discrete Hartley transform ( DHT ) can be considered as special cases of DYT.

61. An automatic measuring system for the relative spectral response of IR detectors by using Fourier Transform Infrared (FTIR)Spectrometer bas been developed.

62. Then, based on the actual circuit of TCR branch, the simplified formula for calculating the fundamental current is showed by Fourier decomposition.

63. Methods: The IR of Radix Dipsaci decocting pieces and its confusable varieties Arctium lappa L. was obtained by Fourier Transform Infrared Spectrum and OMNI-sampler directly.

64. In this paper the problem of beams on tensionless winkler foundation is solved by Fourier series and method of successive substitution.

65. The numerical reconstruction of digital lensless Fourier transform holography for microstructures measurement is experimentally shown.

66. Based on a simplified engine dynamic model, the cylinder pressure torque waveform can be achieved through Discrete Fourier Transform and Inverse Discrete Fourier Transform.

67. The spatial Fourier decomposition method is a new method for the SAR imaging.

68. A shift sampling theory established by author (1997a) is a generalization of Fourier transform computation theory.

69. This paper analyzes the spectral characteristic of the synthesized waveform by use of the Fourier Series, and discusses the spurious spectrum of the phase truncation errors.

70. The fractional Fourier transform of partially coherent flat-topped beams is also studied.

71. Fourier transform infrared spectroscopy (FT-IR) and Differential Scanning Calorimeter (DSC) were used on studying the thermolysis of 4,4'-diaminocarbamate-2,2'-diphenyipropane (DCB).

72. Based on Fourier optical theory, PSF(Point Spread Function)and OTF(Optical Transfer Function)are introduced. Then the mechanism why digital image is focused in optics imaging system is also analyzed.

73. On the basis of analyzing shape features of tomatoes , leaves and branches , we extract features of roundness , slightness , concavity degree and denseness depending on Fourier description .

74. In this paper we zoom some regions of FFT spectrum by the Fourier transform, get the precise value of some main frequency, and thus greatly improve the frequency discrimination of FFT spectrum.

75. Joseph Fourier " , " Mathematical Analysis is as extensive as nature herself. " , "

76. In Linear system, Fourier Transform (FT), Fourier Series (FST), Fourier Z Transform (FZT) and Discrete Fourier Transform (DFT) are used to analyze and process signals.

77. The DSP also deal with the display data transmitted from primary CPU, such as the vector display of channel signal, Fast Fourier Transform (FFT) applied to it and so on.

78. The global Fourier transform can also be obtained by switching(up to sign) the multiplication by a coordinate of the affine line and the differential operator with respect to this coordinate.

79. One - dimensional vector of discrete short - time Fourier transform function.

80. At last,[] the field is transformed back to space domain by inverse Fourier transform.

81. Nonlinear Schrodinger equation is a problem, use split - step Fourier method for solving nonlinear Schr ? dinger equation.

82. The Fourier frequency spectral analysis of voltage has shown that the high frequency dielectric dissipation in motor winding can be ignored also.

83. Convolution of windowing function is traditionally used to explain the Discrete Fourier Transform ( DFT ) errors.

84. Besides, the calculation error of fundamental wave between the SWI method and the whole- wave Fourier algorithm is negligible, so the SWI method is more practical because of the short time of windows.

85. The HVS function, HVS function is inversely Fourier transformed in frequency domain, and the method is realized by calculating some value of the function in spacial domain as convolve nucleus.

86. This paper presents computation of the signal's amplitude spectrum and phase spectrum the Fourier transform.

87. A new optical encryption technique based on double random phase computer-generated hologram of asymmetry fractional Fourier transform is presented.

88. Instanced by dead-band PWM, this paper proposes that its explicit modulated wave is attained and its mathematics model in frequency domain is derived by dual Fourier transforms.

89. The spectrum characteristics of the phase truncation error and amplitude quantization error are analyzed by the method of Fourier series.

90. This paper introduces the Fast Fourier Transform ( FFT ) implementation in fixed - point DSP TMS 320 C 5402.

91. The molecular structure of the silicone resin pre-and post-blending modification by poly (butyl methacrylate)(PBMA) was characterized by Fourier transform infra-red spectrometry.

92. This paper give out the physical interpretation of scaling character of the fractional Fourier transform.

93. For the microscopy by off-axis lensless Fourier transform holography, Fresnel reconstructing method is better than the convolution method.

94. Fast Fourier Translation and FRF of impulse function are applied to research the transverse seismic response of shield tunnel, with step-by-step integral procedure being compared.

95. On the one hand, cross-correlation function is used for time-delay identification; Fast Fourier Transform and its inverse transform are applied to improve the computational efficiency.

96. A method which was based Fourier transformation analyze the transient current in other works was discussed.

97. The structure of the blend hydrogel was characterized Fourier transform infrared spectroscopy ( FTIR ) .

98. This paper studies and designs a high performance radix - 4 Fast Fourier Transform ( FFT ) processor.

99. This paper proved that a frequency stochastic sequence obtained from a stationarily correlated time series by using discrete Fourier transform is orthogonal.

100. Then Fourier model method, mostly applied to study the diffractive properties of gratings is adopted to analyze the diffractive image field in thick film photo resist.

101. A new optical image encryption method using dissymmetrical fractional Fourier transform and double random phase encoding was presented.

102. Wavelet analysis is an efficient method in signal processing after Fourier Transform.

103. Spectral resolution of optical fiber Fourier transform spectrometer depends on maximum optical path difference(OPD).

104. Fourier transform infrared spectroscopy ( FTIR ) was used to identify five kinds of auricula from different regions.

105. Application of complex conjugate gradient method(CCGM) and fast Fourier transform(FFT) to study multitudinous scattering in near-field optics.

106. The extension of real - valued order Fourier transforms to complex regime is natural.

107. Analysis of biomolecules with Fourier transform ion cyclotron resonance mass spectrometry.

108. The development of time - frequency analysis has three periods: Fourier transform,[] short - time Fourier transform and wavelet transform.

109. The dynamic phasor theory, which is based on time-varying Fourier coefficient series, is applied to modeling and simulation of power electronic devices.

110. Further , by double FOURIER series expansion and intricate derivation, strict output analytic solution is acquired.

111. In the current experiment, the team sent their signals down 50km of optical fibre and then implemented what is known as an optical fast Fourier transform to unpick the data streams.

112. A digital Fourier transform holographic storage system has been developed for data on photoresist plate.

113. Application DFT Discrete Fourier Transform, right through MATLAB continuous signal spectrum analysis, in order to meet the theoretical analysis and practical needs.

114. A periodic function, finite Fourier series, is used to activate the actuator for obtaining training samples.

115. And Fourier descriptors is simulated using Fourier function closed contours, Fourier coefficient as a function.

116. When the distance between positive and inverse Fourier transform system changes, the CCD is adjusted to the focal plane by variable value of interval between two peaks on CCD with computer.

117. We will not go into detail about Fourier series, but will simply look at one example.

118. Each of its pixels is sensitive to specific incident angles and supplies a component of the mathematical operation called the Fourier Transform to produce an image about 20 pixels across.

119. The resulted copolymers were characterized by Fourier transform infrared spectroscopy and thermogravimetric analysis, respectively.

120. Influence of Cation Concentration on 7,7,8,8-Tetracyanoquinodimethane in Polyelectrolyte by Using In-situ Microscopic Fourier Transform Infrared Spectroelectrochemistry.

121. Fourier transform image, image enhancement, restoration, coding, analysis, reconstruction and finally the License Plate Recognition.

122. Review of Fourier transform, Fourier series, and discrete Fourier transform.

123. The standard X - ray diffraction Fourier pattern of calcium carbonate for Pearl Aragonite mineral aragonite was obtained.

124. It is proved that the substitituon mapping is a proper Fourier integral operator with generalized hypoellipticity.

125. Because of the limitation of theory, Fourier algorithm is unable to filtering the periodic component, and especially poor in restraining decaying DC component which is common in current malfunction.

126. The paper presents encrpytion techniques of double random phase based on anamorphic fractional Fourier transform.

127. Frames is an important part in research of wavelet analysis and its definition was formally advanced by Duffin and Schaefer when they studied the problems of nonharmonic Fourier expansions in 1952.

128. The calculation formula of the cogging torque are derived by the Fourier decomposition and the virtual displacement method.

129. After satellite image was processed, Fourier expansion was made for MCS's boundary line.

130. We got the infrared spectra by The Fourier Transform Infrared (FTIR) spectroscope and measured the thin films' photoconductivity using Coplanar Aluminum Plating Electrode methods.

131. French utopian socialism thinker Charles Fourier was born on April 7 th.

132. A new method that uses the tight support window signal together with the fractional Fourier transform (FRFT) is discussed.

133. In this algorithm the target scattering function could be reconstructed from the echo data via coordinate conversion, two-dimensional interpolation and two-dimensional Fourier transform.

134. This paper proposes a design technique of variable-bandwidth filter (VBF) based on extended Fourier transform (EFT).

135. A 64 points Discrete Fourier Transform code in AVR asm.

136. This article analyse the physics signification of Fourier transform by Hugens principle and Fraunhofer diffraction.

137. Gibbs phenomenon is explained based on the above, and formulas for calculating extreme points of the partial sum of Fourier series of the square wave are inferred using a new method.

138. Because it is too complex to actualize fast fourier transform algorithm with assembly lan- guage in DSP device and the currency of assembly language is too bad, the repeat arithmetic is intro- duced.

138. try its best to gather and make good sentences.

139. Local Fourier transform(LFT) is an important texture feature extracting method.

140. Because the convolution function is of ill-condition, so the result of direct Fourier transformation solution is divergent.

141. The Fourier analysis method is applied to decompose the air-gap magnetic density into the basic wave and a series of harmonic and wave shape eigen coefficient of air-gap magnetic field are calculated.

142. In order to increase computation speed and accuracy of transient response, the algorithms based on fast Fourier transformation were constructed, and the essence of the algorithms were also explored.

143. Secondly, a DSTFT(Discrete Short Time Fourier Transform )-based demodulation method for the 2FSK signal is studied and algorithms for symbol synchronization and symbol decision are analysed.

144. The Fast Fourier Transform ( FFT ) is applied to spectral analysis of flatness measurement.

145. This paper presents an algorithm for the spatial Fourier decomposition method.

146. The principle and method of holographic record of the particle field by 4F Fourier lens system and holographic filter are introduced in this paper.

147. Using forward inverse Fourier transform, we present hybrid order convolutional differentiator algorithm for seismic wave modeling.

148. The pyrolysis process of Hegang bituminous coal was investigated by simultaneous TG - FTIR ( Thermogravimetry - Fourier Transform Infrared ).

149. An identification procedure of nonlinear unit feedback system is investigated by means of operator notation and Fourier transform, and some formulas for identification are given.

150. The homogeneous linear equations of the field components can be obtained for a signal period using 2-dimension space Fourier Transform and time Fourier Transform.

151. Fourier transform lens is key operating element in optical information processing system.

152. The experimental conclusion is indicated rather strikingly in the Fourier plot of Fig. 223.

153. The main contents are:(1) The recording and numerical reconstruction of lensless Fourier hologram are analyzed by spherical wave theory.

154. Discreating fourier transform is a vital means in signal analysis. It in - time signal in - frequency signal.

155. Based on the Fourier analysis for the input of triangular wave, the relation between the transfer function and reactivity was got.

156. A criterion to determine the maximum resolving power of a resolving power test chart by using Fourier power spectrum is proposed.

157. Convolutional differentiator (CD) is obtained by inverse Fourier transform of bandlimited Fourier spectra of partial derivative operator. CD is symmetric or antisymmetric and decays rapidly.

158. Such numerical solution is iterated for all the waves with different frequencies, and all the numerical solutions are transformed into the light fields in the time domain by inverse Fourier transform.

159. With the modification of the reconstruction algorithm, discrete Fourier transform is used to speed up the reconstruction and 3D atomic arrangement is obtained by utilizing the idea of CT.

160. First and second order linear differential equations Path integral Numerical series Functions of the real variable: sequences and series of functions, entire series, applications to Fourier series.

161. The fractional Fourier transform contains the spatial information and the spatial-frequency information simultaneously. The fractional correlation can be used to optical pattern recognition too.

162. Before the advent of Wavelet Analysis, the chief tool on signal processing is Fourier analysis.

163. Romberg-fast Fourier transform (R-FFT) integration algorithm based on fast Fourier transform (FFT) and numerical integration theory was proposed for modal superposition method.

164. The fractional Fourier transform is a linear operator, and will not be influenced by cross terms. The FrFT is a way to concentrate the energy of the echo from a ground moving target.

165. Laplace transformation, array, vector, determinate, linear equation set, Fourier series, partial differential equations.

166. A Surface EMG signal identification method based on short time fourier transform is presented in this paper.

167. In the present paper, Fourier transform infrared spectroscopy(FTIR) was used to determine unzymic and zymic Pu'er tea of different grade produced in Simao, Yunan Province.

168. Infrared spectra of Papaver somniferum L. and Papaver rhoeas were obtained directly, quickly and accurately by Fourier transform infrared spectroscopy (FTIR) with OMNI sampler.

169. Natural frequencies and natural modes are determined by the null-field integral formulation in conjunction with degenerate kernels, tensor rotation and Fourier series.

170. Using Fourier analysis to calculate the maximum collector voltage of PAs in inverse Class-AB mode, we can calculate the maximum efficiency.

171. To open a simple bitmap procedures and realize orthogonal Fourier transform.

172. Therefore Wavelet analysis is called a microscope of signal analysis and a milestone of Fourier analysis.

172. try its best to gather and make good sentences.

173. It uses Fourier series in expanding calculus, to achieve the measuring and calculation of volt, current, power factor and quantity of electricity.

174. This method can be used to measure similar objects with the regular Fourier transform spectrum (FTS).

175. Substituting the represented points in the proposed random function model and performing the inverse Fourier transform yield the assembles of the stochastic accelerograms.