Fourier transform

It was shown in [23] that the time-frequency pair of orthonormal basses that are related via the Fourier transform is highly incoherent.

Fourier transform is a way of looking at a time series as a sum of sine waves at different frequencies.

Chirplet transform is the general form of Fourier transform, short-time Fourier transform and Wavelet transform.

Otaining the double Fourier transform answers to the question of transversely isotropic saturated porous half-space.

According to the articles published, the harmonic analysis of electronic power system is usually achieved via Fast Fourier Transform(FFT).

The Fourier transform is an integral expression for a Fourier series applied to an infinitely long signal.

Length of Fourier transform is connected with curve resolution. Curve resolution is lower, window length of Fourier transform is narrower.

The discharge gap voltage is represented in terms of Fourier transform , the equivalent impedance of DBD discharge gap is available.

For a general asymmetric optical system, the Fourier transform conditions of the system are derived by using the ray matrix method.

Fourier transform infrared (FTIR) spectroscopy technology becomes one of the most efficient methods in the study of atmospheric species.

At present, Fourier transform, short time Fourier transform and wavelets analysis are the main analysis methods of power quality.

A function whose Fourier transform is itself is called a self-Fourier function.

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

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

The best harmonic detection windowed Fourier transform function is achieved through experiments comparison.

This approach has fast speed as it works in spatial domain with neither complex Fourier transform nor iterative computation.

Neither the coherent optical input image nor the Fourier transform hologram of the reference image is required by this system.

Fourier transform infrared spectra demonstrated that the aggregate substance on aluminum foils was aluminum myristate.

The formulations of the response are developed from the those of the frequence-domain by the Fourier transform.

The structure of this monomer were confirmed by means of Elements Analysis, Fourier transform infra-red spectroscopy (FT-IR), 1H NMR.

Robust; Phase Shift Keying ; Frequency Shift Keying ; Discrete Fourier Transform; Discrete Cosine Transform; Spread Spectrum.

The Fourier transform and the wavelet transform are two important mathematical transforms used in industry.

The correlative coding was equivalent to a pulse shaping filter after inverse fast fourier transform (IFFT).

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

To improve the performance of Fourier transform spectrometer, precise position and position error measurement methods are proposed.

The phase of the wave front is calculated from the recorded holograms by use of a two-dimensional digital Fourier-transform method.

Fourier transform infra red spectrometer observation of the characteristics of resultant peaks.

The influences of the CCD resolution and the discrete Fourier transform characteristic on correlation results are discussed.

The lifting wavelet transform does not depend on Fourier transform, so the calculation is simple and the operating speed is fast.

Spatial Modulation Imaging Fourier Transform Spectrometer(SMIFTS) is an important remote sensor for research and application.

The approach to the differential use and integral characteristics of Fourier transform in time domain was also presented.

Results showed the wavelet transform is a more efficient method in comparison with Fourier transform.

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

The procedure and method of emissivity field measurement for rice were conducted using a portable Fourier transform infrared spectrometer.

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

Sampling data using fast Fourier transform (FFT) to numerical algorithm has obtained the high accuracy air shaft synthesis parameter survey.

S transform inherits the advantages of the wavelet transform and short time Fourier transform. It is suitable for medical image processing.

The arithmetic Fourier transform( AFT ) is a very important Fourier analysis technique.

After transforming the sampled chopping power signals by DFT (Discrete Fourier Transform), the spectrum charts are analyzed.

The original image was reconstructed exactly through the inverse Fourier transform to the coded image.

The structure and properties of the emulsion was characterized by Fourier transform infrared (FTIR).

Algorithms are presented for maximally efficient computation of the crystallographic fast Fourier transform (FFT).

When proper care is exercised in the data collection, Fourier transform. infrared spectrometry can provide this information.

The finger nails of normal people and patients with cancer in digestive tract were studied by Fourier transform infrared (FTIR) technique.

Through making the inverse Fourier transform to test light source's interferogram, the authors obtained the spectrum of test source.

Secondly, the eyepiece and the Fourier transform lens are designed to minimize the secondary color by the ways of changing glass.

A multi-dimensional vector radix Fast Fourier Transform (FFT) algorithm with Decimation In Frequency (DIF) was proposed.

From the spectral interference signal, the relative phase is extracted by the Fourier transform method.

We tested the spectrum characteristic with UV3100PC spectrophotometer and Fourier transform infrared spectroscopy.

The secondary structure of the protein in these formulations was characterized using Fourier Transform Infrared (FTIR) spectroscopy.

Fourier Transform plays a very important part on spatialization and reconstruction of MRI.

Fourier transform only makes sure the feature of a function singular and can not confirm the position and of singular point on space.

In the method, the forward numerical modeling is achieved by Fourier transform, and the overall optimization by hereditary algorithm.

The reconstructed hologram is obtained by applying inverse Fourier transform to encrypted hologram.

A Fourier Transform Raman (FT-Raman) Spectrometer with dynamic collimation, which uses a fixed mirror, is described in this paper.

The parameter estimation error of Continuous Zoom Analysis Fourier Transform of FFT and FT spectrum is studied is studied in this paper.

The single rectangular pulse is a typical signal in Fourier transform, which plays an important role in signal spectrum theory.

The influence of the noise of Fourier transform frequency spectrum in the experiment on the retrieval result is also discussed.

Aiming at the above circumstances, this article introduces a new analysis and derivation method of Fourier transform.

The existing analysis methods, such as Fourier Transform and order analysis, cannot express the property of these signals accurately.

Spatially Modulation Imaging Fourier Transform Spectrometer(SMIF TS)is a space remote sensor with important research and application value.

The composite films were characterized by Fourier transform infrared (FT-IR) and atomic force microscopy (AFM).

The reaction of OH radical with CO was investigated by time-resolved Fourier transform infrared (TR-FTIR) spectroscopy.

METHODS The PF content was detected by HPLC and FTIR spectra was analyzed with Fourier transform infrared spectrometer.

The operating principles of an Imaging Fourier Transform Spectrometer(IFTS) are discussed.

In mathematics, Fourier analysis and Fourier transform have been developed for a long time.

The Fourier transform algorithm is chosen and is realized with hardware on FPGA.

This includes Fourier series, the Fourier transform, and Fourier analysis on (some) abelian groups.

Sith give the brief introduction to MOM combined with inverse discrete Fourier transform to analyse transient scattering problems.

Doing some of the image-processing procedures (such as Fourier transform, regional growth), people want to help!

The product was characterized by UV-visible spectroscopy, Fourier transform infrared spectroscopy and(()~1HNMR).

and joint time-frequency analysis include Short Time Fourier Transform and wavelet analysis.

A point-diffraction interferometry was presented based on Fourier transform instead of the phase-shifting point-diffraction interferometry .

The principle of reflecting rotating Fourier transform spectrometer was introduced in the present paper.

The thermal aging behaviour of NR , ENR and CNR was studied by using Fourier Transform Infrared Spectroscopy(FTIR).

Computer simulation and performance analyzing of three optical encryption methods based on fractional Fourier transform are done.

OFDM on the Fast Fourier Transform personal design MATLAB algorithm, more classic!

We have measured the 15 malignant and normal tissues of lung directly in Fourier transform infrared spectroscopy (FTIR).

The pulsar super-resolution TOA algorithm based on stationary wavelet transform and fractional Fourier transform is proposed.

The analytical solution of ultra-short pulsed elliptical Gaussian beams in free space is obtained based on the Fourier transform technique.

The combination of double fiber optic Moire interference fringes and Fourier transform can measure an object 3-D profile.

Many are equipped with temperature-control and Fourier-transform attachments, and some have laser sources.

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

At present, phase shifting method, Fourier transform method and fringe skeleton method are three most important fringe analysis methods.

A new recognition algorithm is proposed based on the lifting stationary wavelet transform (SWT) and the fractional Fourier transform (FRFT).

ABB is the market and technology leader in stack gas monitoring systems and a pioneer in Fourier transform infrared (FTIR) technology.

Fourier transform looks at the whole signal at once, Strang says.

A rapid error separation method based on Fourier transform " is proposed, and corresponding mathematic model is also established. "

The detection and parameter estimation of nonlinear FM signal based on the short fractional fourier transform.

Traditional wavelet transform has space local character. But most of feature wavelet are based on Fourier transform.

The transient time-domain response of 3D layered plate was obtained by fast Fourier transform (FFT).

Fast Fourier Transform is a kind of method to decrease the time used in DFT.

Unlike Fourier transform, the wavelet transform is a better analysis tools both in time domain and frequency domain.

Fourier transform profilometry based on wavelet analysis was used to detect the 3-D shape.

The Short Time Vector-Spectrum(STVS) is brought forward based on the Vector-Spectrum and the Short Time Fourier Transform(STFT).

Warpped discrete fourier transform(WDFT), which is used for signal processing, adjust the sample location via a all-pass warping function.

The proposed algorithm makes use of forward nonuniform fast Fourier transform (NUFFT) for iterative Fourier inversion.

Absrtact: Presents an image encryption technology based on chaotic sequences and fractional Fourier transform.

Based on generalized discrete fourier transform(GDFT), this method can adjust the spaces of the subcarriers.

An implicit method is employed in solving diffusion term and projection term, such as Gauss-Seidel iteration method, Fast Fourier Transform.

FTP. m is extracted by Fourier transform phase. sincosfilter. m is the cosine filter.

Special attention is given about the main advantages and the future of Fourier transform in UV-Vis region.

Absrtact: A digital watermarking algorithm is proposed based on chaotic map and fractional Fourier transform.

A speed measuring system of moving mirror for Fourier transform spectrometer(FTS) based on FPGA is introduced.

In this paper, the first method is phase encoding based on fractional Fourier transform.

But most of the people have an unclear understanding of discrete Fourier transform.

And the second is the image encryption based on iterative fractional Fourier transform.

Two-programs, PWPLVR and PFTLVR were designed to perform WPLVR and Fourier transform latent variable regression (FTLVR) calculations.

The third is the image encryption based on fractional Fourier transform and the three step phase shifting interferometry.

It proved that using the Waterfall based on Short-Time Fourier Transform to analyze non-balanced signal has many advantages such as.

Orthogonal Signal Correction Used for Calibration Transfer of Fourier Transform Infrared Spectra

Non-damaging Identification of the Ingredients of Inks Dye in the Ball Pen Point by Fourier Transform Infrared Spectroscopy

Fourier Transform Infrared Spectroscopic Study of Different Parts of Wild Growing Edible Mushrooms

Structural Principle of the Linear Ion Trap-Fourier Transform Ion Cyclotron Resonance Mass Spectrometry and Its Application in Proteomics

Revealing Doppler Signal's Feature of Continuous Wave Doppler System Radio Fuze for Air Attack by Means of Short Time Fourier Transform

Study of Thermal Perturbation of Rutin by Two Dimensional Correlation Analysis and Fourier Transform Infrared Spectroscopy

Study of Protein in Human Gallstones by Fourier Transform Infrared Spectroscopy and Surface-Enhanced Raman Spectroscopy

Decomposing effect of chemical- biological decomposing combined technique on rice straw and its fourier transform infrared spectroscopy

Auto-registration of Fourier Transform Magnitude Spectra and its Application on Texture Identification and Segmentation

The Compare and Analysis Between the Least Square Method and Fast Fourier Transform

A Study of the Fourier Transform Relation of Fraunhofer Diffraction Field and Plate Function

Study on windowed fourier transform algorithm and its improvement with interpolated method for harmonic detection

A Rapid and Nondestructive Study of Yi Herbs Dahongpao and Jigen with Fourier Transform Infrared Spectroscopy

Diffuse Reflectance Infrared Fourier Transform Study of Silicon Nitride Powders

Simulated study of realizing discrete convolution and discrete correlation by using fast fourier transform

The Fast Fourier Transform Algorithm for the Inverse and Generalized Inverse of the Permutation Factor Circulant Matrices

The Fast Fourier Transform Algorithm for the Multiplication of Two Scaled Factor Circulant Matrices

Determination of Complicated Surfactant Components Using Fourier Transform Ion Cyclotron Resonance Mass Spectrometry

Transformation properties of a Cosine-Gaussian beam in the fractional Fourier transform plane

Simultaneous Determination of Calcium and Magnesium in Water by Fourier Transform Filtering and Ratio Spectra Derivative Spectrophotometry

The Application and Study of Fourier Transform Method in Transient Speed Calculation for Diesel Engine

Study of Interaction Between Adhesive and Dentin by Fourier Transform-Raman Spectrometry

The Diffraction of Misaligend Optical System in Spatial - Domain Written in Terms of Fractional Fourier Transform

Focal length measurement by calculating Fourier transform spectrum interference fringes of symmetric double circular apertures

Identification of Resina draconis with Fourier transform infrared spectrometry by visualization of convolution transform

Compensating Nonlinearity of Optical Path Difference of Rotary Fourier Transform Spectrometer with Fitting Interferogram

Variable Angle Fractional Fourier Transform and Its Application in Modeling the Signal's Time-Frequency Structure

Chiral Molecular Recognition of Cyclodextrin to Tropine by Electrospray Fourier Transform Ion Cyclotron Resonance Mass Spectrometry

Rapid Identification of Traditional Chinese Medicine Formula Particles by Fourier Transform Infrared Spectroscopy

Application of Microcomputer Technology, Fourier Transform and Wavelet Analysis to Transformer Comprehensive Test

Determination of the Contents of Free Amino Acids, Caffeine and Tea Polyphenols in Green Tea by Fourier Transform Near-Infrared Spectroscopy

Fractional Correlation Properties of the Joint Fractional Fourier Transform Correlator

Implementation of the Multichannel Fractional Fourier Transform Using Holographic Lens Array

Infrared horizontal ATR instrument used in Fourier transform spectroscopy

Fourier Transform Infrared Spectroscopic Study of Truffles

Path Concentration Distribution of Air Contaminants Measured by Remote Sensing Fourier Transform Infrared Spectroscopy

Application of the short-time fourier transform in study of sedimentary cycle

Anatomy and Study of Unknown Compound in Tar with Fourier Transform Infrared Spectroscopy

Discrete-time Fourier series Discrete-time Fourier transform Differential equation Differentiation

The Synthesis and Fourier Transform Infrared Spectroscopy of L-Alanine Acid Tailed Porphyrin and its Zinc Complex

Identification of Aaron's beard with Clustering Analysis by Attenuation Reflection-Fourier Transform Infrared Spectrometry

Matrix Several Kind of Standard Forms Utilization Class Example of Unilateral Fourier Transform and Unilateral Laplace Transform

Simultaneous Determination of Ethanol, Fructose and Glucose in Aqueous Solution by Fourier Transform-Near Infrared Spectroscopy

Identification of Auricularia Auricula from Different Regions by Fourier Transform Infrared Spectroscopy

General rules for superconducting pulse Fourier transform nuclear magnetic resonance spectrometry

Ground-based nitric acid measurements at Arrival Heights, Antarctica, using solar and lunar Fourier transform infrared observations

A new Lateral Shearing Interferometer Stationary Fourier Transform Spectrometer of High Spectrum Resolution Resolving Power

Mathematic models for quantitative analysis of Brix and reducing sugars in sugarcane juice with Fourier transform near infrared spectroscopy

By this time you should have understood the basic concepts of Fourier transform, when we can use it and we can not.

modulation transfer function; point light source; point spread function; fourier transform; image processing;

Chinese Traditional Medicine Authentication by SVM Fourier Transform Infrared Spectrometry

carrying out discrete fourier transform on the selected near-infrared diffuse reflection spectrum data to obtain transform result data;

Window functions, interpolation and Fourier transform recursive algorithm for improving the harmonic analysis of power system

Temperature; Boundary condition; Inverse problem; Fourier transform;

Study on Quality Control of Traditional Chinese Medicine Ginseng Injection with Fourier Transform Infrared Spectroscopy

Structural analysis of fluorinated diamond-like carbon films by Raman and Fourier transform infrared absorption spectroscopy

Analysis on measuring accuracy of Fourier transform profilometry due to different filtering window

Application of Fourier Transform Infrared Spectrometry in Environmental Monitoring

Aero-optical phase measurements using Fourier transform holographic interferometry

Application and Progress of Fourier Transform Attenuated Total Reflection Infrared Spectroscopy

Analysis and Assessment of Coptis Chinensis for Different Parts, Ages, and Heights Using Fourier Transform Infrared Spectroscopy

Analysis on Fourier Transform Infrared and Graphite Furnace Atomic Absorption Spectrometry of Pearls with Different Colours

Dimensional Normalization in the Digital Computation of the Fractional Fourier Transform

Characterization of Several Fiber Materials with Fourier Transform Infrared Spectroscopy

Fourier-Transform Infrared Spectrometer for Space Atmospheric Component Detecting

Fourier Transform Computer-Generated Holography and Optical Reconstruction

Modern Fourier Transform Infrared Spectroscopy Techniques and Applications

An Analytical Method for the Determination of Plastic Pigment in the Paper Base Stock by Fourier Transform Infrared Spectroscopy

Feasibility Study for Rapid Determination of Cholesterol Concentration in Human Serum by Using Fourier Transform Near Infrared Spectroscopy

Mathematic Models for Analysis of Quality Components in Sugarcane Juice with Fourier Transform Near Infrared Spectroscopy

Remote Sensing Detection of Atmospheric Pollutants by Fourier Transform Infrared Spectrometry

Frequency Sweeping Interference Suppressing in DSSS System Using Fractional Fourier Transform

Instrument technology and applications of modern fourier transform near infrared spectrometer

Analysis of Leather Products by Fourier Transform Attenuated Total Reflection Infrared Spectroscopy

Analysis of Polyethylenes Polyamines by Fourier Transform-Ion Cyclotron Resonance Mass Spectrometry

Application of the SIMCA Method to Cancer Diagnosis with Fourier-Transform Infrared Spectroscopy

Interpretation of Unknown Compounds with Fourier Transform Infrared Spectroscopy

Rapid determination of biochemical compounds in human serum using Fourier transform near infrared spectroscopy

Spaceborne Fourier Transform Spectrometer for Atmospheric Sounding

Temperature-variable Fourier transform infrared measurement system

The Applications for Fourier Transform Infrared Spectrum Analysis Technique in Preventive Medicine Field

Application of Fourier Transform Infrared Spectrometry in the Monitoring of Atmospheric Environment

Absorption Line Intensity and Profile Studied by Fourier Transform Intra-cavity Laser Absorption Spectroscopy

Analysis on an Improved Fourier Transform Profilometry

Research on the measurement of speckle displacement with joint fractional Fourier transform correlation

Data Processing for Interferogram of Ultraviolet Fourier Transform Spectrometer

The Application of Time Domain Integration and Differentiation Properties in Fourier Transform

Application of Singular Value Decomposition and Short Time Fourier Transform in Sound Information Separation

Study on small displacement measurement using digital speckle joint fourier transform correlation

Analysis on Texture Discrimination Performance of Moments of Local Fourier Transform Coefficients

The influence of recording conditions on the signal-to-noise ratio of retrieved images for photoresist Fourier transform holograms

Practical Implementation of the Arithmetic Fourier Transform

Application of short-time Fourier transform in the vibration analysis of the large hydroelectric machine

Study on Identification of Several Edible Fungus Strains Using Fourier-transform Infrared Spectroscopy

Recording of cosine transform spectrum coefficients using fourier transform in-line digital holography

Quantitative gas analysis using Fourier transform infrared spectroscopy method

Fast Identification of Photocopy Papers with Fourier Transform Infrared Spectroscopy

The Application of Fourier Transform Infrared Spectrometry Method in Environmental Science

Distortion of the Interferometric Signal in the Fourier Transform Spectrometer

Optical implementation and applications of fractional fourier transform

Multi-configuration design for Fourier-transform optical system applied in volume holographic storage

Fourier Transform Infrared Spectroscopic Investigation of Human Erythrocytes in Bone Marrow

Phase error correction by multiplicative method in optical fiber Fourier transform spectrometer

Studies on rapid identification of ganoderma lucidum by fourier transform infrared spectroscopy

Application and Improvement of Partial-Least-Squares in Fourier Transform Infrared Spectroscopy

Identification of Edible Mushrooms by Fourier Transform Infrared Spectroscopy

Study on the Processing Stability of High-Density Polyethylene by Fourier Transform Infrared Spectroscopy

Double random phase computer generated hologram of asymmetry fractional Fourier transform

Application of Fourier Transform-Near Infrared Spectrometry to Qualitative Analysis of Pilose Antler

Characterization of Compactly Support of Fourier Transform for M-band Scaling Function and Orthogonal Wavelets

Fourier Transform Infrared Spectroscopic Studies on the Normal and Malignant Esophagus Tissues

Optical image encryption using anamorphic fractional fourier transform

Study on Interaction of Anionic Surfactant SDS and Bovine Serum Albumin by Fourier Transform Infrared Spectroscopy

Undamaged Determination of Raw Plant Medicinal Drugs with Fourier Transform Raman Spectroscopy

Study on the Spectral Radiometric Calibration Method of the Spatially Modulated Imaging Fourier Transform Spectrometer

Method for rapidly distinguishing the quality of sea cucumber by fourier transform infrared spectroscopy

Identification of Gastrodia Elata Blume by Fourier Transform Infrared Spectroscopy

Discrete Chirp-Fourier Transform and Its Applications in Radar Imaging

The Application of Fractional Fourier Transform in Analyzing Stability of Spherical Resonator

Investigation of Tobacco Peroxidase Interacted with CN- by Fourier Transform Infrared Spectra

Application of Short Time Fourier Transform to LP Compressor Aerodynamic Unstability Analysis

Prediction of Soil Available Phosphorus Using Fourier Transform Infrared-Photoacoustic Spectroscopy

Diffractive Optical Element Designed by YG Algorithm for Beam Shaping in Fractional Fourier Transform Domain

Fourier Transform Infrared Spectroscopic Studies on the Normal and Malignant thyroid Tissues

Studies on the determining quality indexes of rapeseed by Fourier transform near infrared spectrometer

Fractional Fourier Transform of Two -dimensional Cosine-gaussian Beams Based on the Wigner Distribution Function

The Study of the Determination of Seed Moisture and Seed Vigor with Fourier Transform Near-Infrared Spectroscopy

Characterizing discrete Fourier transform errors in signal processing by inner product

A Fast Algorithm for Calculating the Fractional Fourier Transform Diffraction Integral

Error Analysis and Calibration Method of Complex Spectrum of Fourier Transform Infrared Spectrometer

Fourier Transform Surface-enhanced Raman Spectroscopy from the Deposited Passivation Film of Iron

Rapid determination of glucose in human serum using fourier transform near infrared spectroscopy

Phase space beam matrix method for evaluating geometrical aspect of fractional Fourier transform of beams

Optimal design of phase encoding of laser beam shaping element with iterative Fourier transform algorithm

Fast fourier transform dynamic algorithm in different structures of computer clusters

Study on the identification of plasmin capsules by fourier transform infrared spectroscopy

An Applied Study on Fourier Transform Near-Infrared Whole Spectroscopy Regression Analysis

Short-time fourier transform analysis of the phonocardiogram signal

Identification of Plastics by Fourier Transform Raman and Infrared Spectroscopy

Fourier Transform of Pattern Formation Obtained in Dielectric Barrier Discharge