Fourier Transform
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Back to Top2012 International Conference on Digital Image Computing: Techniques and Applications (DICTA)
he International Conference on Digital Image Computing: Techniques and Applications (DICTA) is the main Australian Conference on computer vision, image processing, pattern recognition, and related areas. DICTA was established as a biannual conference in 1991 and became an annual event in 2007. It is the premiere conference of the Australian Pattern Recognition Society (APRS).
Periodicals related to Fourier Transform
Back to TopGeoscience and Remote Sensing, IEEE Transactions on
Theory, concepts, and techniques of science and engineering as applied to sensing the earth, oceans, atmosphere, and space; and the processing, interpretation, and dissemination of this information.
Image Processing, IEEE Transactions on
Signalprocessing aspects of image processing, imaging systems, and image scanning, display, and printing. Includes theory, algorithms, and architectures for image coding, filtering, enhancement, restoration, segmentation, and motion estimation; image formation in tomography, radar, sonar, geophysics, astronomy, microscopy, and crystallography; image scanning, digital halftoning and display, andcolor reproduction.
Signal Processing, IEEE Transactions on
The technology of transmission, recording, reproduction, processing, and measurement of speech; other audiofrequency waves and other signals by digital, electronic, electrical, acoustic, mechanical, and optical means; the components and systems to accomplish these and related aims; and the environmental, psychological, and physiological factors of thesetechnologies.
Xplore Articles related to Fourier Transform
Back to TopMeasurements of ocean wave spectra with vertical polarization Xband radar image sequences
Limin Cui; Yijun He 2009 IEEE International Geoscience and Remote Sensing Symposium, 2009
Ocean wave parameters, such as significant wave height, can be computed from wave spectrum. Ordinarily Xband nautical radar can produce the three dimensional wave number frequency image spectra from a time series of radar images with a 3D FFT algorithm. The fundamental image spectrum is related to the surface wave spectrum by the modulation transfer function (MTF). To determine the ...
Ajmal Mohamed; JeanBaptiste Dherbecourt; Myriam Raybaut; JeanMichel Melkonian; Antoine Godard; Guillaume Gorju; Michel Lefebvre 2016 Progress in Electromagnetic Research Symposium (PIERS), 2016
Active optical sensing of the atmosphere through long distances from airborne or satellite platforms requires specific and demanding features for the necessary laser sources in terms of wavelength addressing and power level. Many molecules of atmospheric interest for nowadays urgent issues like climate change and contrails (CO2, CH4, H2O) have their best relevant detection features in the near and mid ...
Design of an FPGAbased highspeed filterdecimator for the GIFTS imaging interferometer
S. E. Budge; C. R. O'Brien Conference Record of ThirtyFifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256), 2001
This paper presents the design of an FPGAbased frame filterdecimator for the geostationary imaging Fourier transform spectrometer (GIFTS). The decimator reduces samples from two 128/spl times/128 sample imaging arrays from 1638.4 fps to 102.4 complex fps for the long wave IR (LWIR) band and from 1638.4 fps to 204.8 complex fps for the medium wave IR (MWIR) band. The design ...
A fast d.f.t. algorithm using complex integer transforms
I. S. Reed; T. K. Truong Electronics Letters, 1978
For certain large transform lengths, Winograd's algorithm for computing the discrete Fourier transform (d.f.t.) is extended considerably. This is accomplished by performing the cyclic convolution, required by Winograd's method, by a fast transform over certain complex integer fields developed previously by the authors. This new algorithm requires fewer multiplications than either the standard fast Fourier transform (f.f.t.) or Winograd's more ...
Highperformance FFT processing using reconfigurable logic
G. Szedo; V. Yang; C. Dick Conference Record of ThirtyFifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256), 2001
The fast Fourier transform (FFT) and its inverse (IFFT) are two of the most widely used building blocks in digital signal processing designs. A novel structure for a radix4 type FFT is proposed which can process frames of 16bit complex samples at a rate of one output sample per 100 MHz clock cycle, thus performing a 1024point transform in approximately ...
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Measurements of ocean wave spectra with vertical polarization Xband radar image sequences
Limin Cui; Yijun He 2009 IEEE International Geoscience and Remote Sensing Symposium, 2009
Ocean wave parameters, such as significant wave height, can be computed from wave spectrum. Ordinarily Xband nautical radar can produce the three dimensional wave number frequency image spectra from a time series of radar images with a 3D FFT algorithm. The fundamental image spectrum is related to the surface wave spectrum by the modulation transfer function (MTF). To determine the ...
Ajmal Mohamed; JeanBaptiste Dherbecourt; Myriam Raybaut; JeanMichel Melkonian; Antoine Godard; Guillaume Gorju; Michel Lefebvre 2016 Progress in Electromagnetic Research Symposium (PIERS), 2016
Active optical sensing of the atmosphere through long distances from airborne or satellite platforms requires specific and demanding features for the necessary laser sources in terms of wavelength addressing and power level. Many molecules of atmospheric interest for nowadays urgent issues like climate change and contrails (CO2, CH4, H2O) have their best relevant detection features in the near and mid ...
Design of an FPGAbased highspeed filterdecimator for the GIFTS imaging interferometer
S. E. Budge; C. R. O'Brien Conference Record of ThirtyFifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256), 2001
This paper presents the design of an FPGAbased frame filterdecimator for the geostationary imaging Fourier transform spectrometer (GIFTS). The decimator reduces samples from two 128/spl times/128 sample imaging arrays from 1638.4 fps to 102.4 complex fps for the long wave IR (LWIR) band and from 1638.4 fps to 204.8 complex fps for the medium wave IR (MWIR) band. The design ...
A fast d.f.t. algorithm using complex integer transforms
I. S. Reed; T. K. Truong Electronics Letters, 1978
For certain large transform lengths, Winograd's algorithm for computing the discrete Fourier transform (d.f.t.) is extended considerably. This is accomplished by performing the cyclic convolution, required by Winograd's method, by a fast transform over certain complex integer fields developed previously by the authors. This new algorithm requires fewer multiplications than either the standard fast Fourier transform (f.f.t.) or Winograd's more ...
Highperformance FFT processing using reconfigurable logic
G. Szedo; V. Yang; C. Dick Conference Record of ThirtyFifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256), 2001
The fast Fourier transform (FFT) and its inverse (IFFT) are two of the most widely used building blocks in digital signal processing designs. A novel structure for a radix4 type FFT is proposed which can process frames of 16bit complex samples at a rate of one output sample per 100 MHz clock cycle, thus performing a 1024point transform in approximately ...
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Fourier Transform and Fourier Series
The Fourier transform (FT) has been widely used in circuit analysis and synthesis, from filter design to signal processing, image reconstruction, and so on. Fourier transform is used for energy signal which contain finite energy. The discrete Fourier transform (DFT) and fast Fourier transform (FFT) are discrete tools to analyze time domain signals. One needs to know the problems caused by discretization and specify the parameters accordingly to avoid nonphysical and nonmathematical results. Mathematically, FT is defined for continuous time signals, and in order to go to frequency domain, the time signal must be observed from an infiniteextend time window. This chapter lists a simple MATLAB code for the Fourier series representation of a given function. The number of terms required in the Fourier series representation depends on the smoothness of the function and the specified accuracy.

Process Identification Methods for Frequency Response Models
This chapter contains sections titled: Fourier Series Frequency Response Analysis and Autotuning Describing Function Analysis Fourier Analysis Modified Fourier Transform Frequency Response Analysis with Integrals1 Problems References

This book is Volume IV of the series DSP for MATLAB™ and LabVIEW™. Volume IV is an introductory treatment of LMS Adaptive Filtering and applications, and covers cost functions, performance surfaces, coefficient perturbation to estimate the gradient, the LMS algorithm, response of the LMS algorithm to narrowband signals, and various topologies such as ANC (Active Noise Cancelling) or system modeling, Noise Cancellation, Interference Cancellation, Echo Cancellation (with single and dualH topologies), and Inverse Filtering/Deconvolution. The entire series consists of four volumes that collectively cover basic digital signal processing in a practical and accessible manner, but which nonetheless include all essential foundation mathematics. As the series title implies, the scripts here will run on both MATLAB™ and LabVIEW™. The text for all volumes contains many examples, and many useful computational scripts, augmented by demonstration scripts and LabVIEW&# 482; Virtual Instruments (VIs) that can be run to illustrate various signal processing concepts graphically on the user's computer screen. Volume I consists of four chapters that collectively set forth a brief overview of the field of digital signal processing, useful signals and concepts (including convolution, recursion, difference equations, LTI systems, etc), conversion from the continuous to discrete domain and back (i.e., analogtodigital and digitaltoanalog conversion), aliasing, the Nyquist rate, normalized frequency, sample rate conversion and Mulaw compression, and signal processing principles including correlation, the correlation sequence, the Real DFT, correlation by convolution, matched filtering, simple FIR filters, and simple IIR filters. Chapter 4 of Volume I, in particular, provides an intuitive or "first principle" understanding of how digital filtering and frequency transforms work. Volume II provides detailed coverage of discrete frequency transforms, includi g a brief overview of common frequency transforms, both discrete and continuous, followed by detailed treatments of the Discrete Time Fourier Transform (DTFT), the zTransform (including definition and properties, the inverse ztransform, frequency response via ztransform, and alternate filter realization topologies including Direct Form, Direct Form Transposed, Cascade Form, Parallel Form, and Lattice Form), and the Discrete Fourier Transform (DFT) (including Discrete Fourier Series, the DFTIDFT pair, DFT of common signals, bin width, sampling duration, and sample rate, the FFT, the Goertzel Algorithm, Linear, Periodic, and Circular convolution, DFT Leakage, and computation of the Inverse DFT). Volume III covers digital filter design, including the specific topics of FIR design via windowedideallowpass filter, FIR highpass, bandpass, and bandstop filter design from windowedideal lowpass filters, FIR design using the transition bandoptimized Frequency Sampling technique (impleme ted by InverseDFT or Cosine/Sine Summation Formulas), design of equiripple FIRs of all standard types including Hilbert Transformers and Differentiators via the Remez Exchange Algorithm, design of Butterworth, Chebyshev (Types I and II), and Elliptic analog prototype lowpass filters, conversion of analog lowpass prototype filters to highpass, bandpass, and bandstop filters, and conversion of analog filters to digital filters using the Impulse Invariance and Bilinear Transform techniques. Certain filter topologies specific to FIRs are also discussed, as are two simple FIR types, the Comb and Moving Average filters. Table of Contents: Introduction To LMS Adaptive Filtering / Applied Adaptive Filtering

This chapter contains sections titled: Properties of the Fourier Transformation Spectrum of Example Time Domain Signals Transformation of Sampled Time Signals Short Time Fourier Transform of Continuous Signals Discrete Fourier Transform

Transforms Used in Electronic Image Processing
This chapter contains sections titled: The Fourier Series The OneDimensional Fourier Transform The TwoDimensional Fourier Transform Important Functions Relating to the Fourier Transform The Discrete Fourier Transform Example and Properties of the Discrete Fourier Transform Computation of the Discrete Fourier Transform Other Image Transforms

This chapter contains sections titled: Introduction Discrete Fourier Transform (DFT) Filter Bank L Band Filters (Revisited) Quadrature Mirror Filter (QMF) Polyphase Representation Frequency Masking Filters Cascaded IntegratorComb (CIC) Filter

Measurement of Frequency Response Functions  Standard Solutions
This chapter contains sections titled: Introduction An Introduction to the Discrete Fourier Transform Spectral Representations of Periodic Signals Analysis of FRF Measurements Using Periodic Excitations Reducing FRF Measurement Errors for Periodic Excitations FRF Measurements Using Random Excitations FRF Measurements of MultipleInput, MultipleOutput Systems Guidelines for FRF Measurements Conclusion Exercises Appendixes

Analysis and Simulation of a Digital Mobile Channel Using Orthogonal Frequency Division Multiplexing
This paper discusses the analysis and simulation of a technique for combating the effects of multipath propagation and cochannel interference on a narrow band digital mobile channel. This system uses the discrete Fourier transform to orthogonally frequency multiplex many narrow subchannels, each signaling at a very low rate, into one highrate channel. When this technique is used with pilotbased correction, the effects of flat Rayleigh fading can be reduced significantly. An improvement in signaltointerference ratio of 6 dB can be obtained over the bursty Rayleigh channel. In addition, with each subchannel signaling at a low rate, this technique can provide added protection against delay spread. To enhance the behavior of the technique in a heavily frequency selective environment, interpolated pilots are used. A frequency offset reference scheme is employed for the pilots to improve protection against cochannel interference.

Appendix A: The Fourier Transform
This chapter contains sections titled: Introduction Fourier Transformation of TimeDomain and Spatial FrequencyDomain Signals

This chapter contains sections titled: Vectors Basic Concepts of Matrix Algebra Some Commonly Used Functions Convolution The Fourier Transform The Radon Transform This chapter contains sections titled: Exercises
Standards related to Fourier Transform
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