Interface
- Full 32-bit performance
- Toolbars and menu-driven for all functionality
- No programming of procedures, algorithms or graphing
- Advanced on-line help system
Non-Parametric Spectral Analysis
- AR spectral methods offer accurate frequency estimation with short data records
- AR spectrum methods: AR spectrum, AR with order exploration, AR with algorithm comparison
- 14 AR algorithms: autocorrelation method, maximum entropy method (Burg), least-squares normal equations, least-squares covariance models and modified covariance models, singular value decomposition methods
- Model order selection and order exploration
- Moving average spectrum
- ARMA spectrum
- Prony Spectrum offers fitting of damped sine and damped exponential that occur in multi-component exponential decays
- Minimum Variance Spectrum
Eigen Analysis Spectrum
- Eigen Analysis Spectrum provides accurate and robust spectral procedures for estimating harmonic frequencies
- Provides excellent signal-noise separation
- Graphically select signal and noise sub-space; also available in certain parametric procedures
Data Processing
- Non-Linear Optimization offers parametric refinement of spectral estimates: least-squares, maximum likelihood
- Fourier Interpolation
- Fourier Upsampling
- Parametric Interpolation and Prediction
- Graphically inspect the autocorrelation series
- Detrend: Constant, Linear, Quadratic, Cubic, Logarithmic, Exponential, Power, Hyperbolic
- Difference the data with adjustable order and lag, compute various cumulatives and normalize for unit area, unit power, unit standard deviation and zero mean
- Add or subtract a reference signal
- Compare imported reference signals
- Gaussian deconvolution or exponential deconvolution to remove instrument response smearing
- Find long-term "memory effects" in flat frequency response signals with Fractal Dimension option
Numeric Review
- Full component numeric summary report include: procedure, algorithm, listing of interpolated spectral peaks, frequency analysis and linear least-squares fit summary
- List data offers extended data summary with results from each of the procedure such as frequency, magnitude, phase and power spectral density
- Goodness of fit statistics: r2, degrees of freedom adjusted r2, fit standard error, F-statistic
- Evaluation option with automated table generation, includes function, derivatives, roots and cumulative volume; X values can be generated or imported from file
Output and Export
- Publication-quality printed graphs
- Image formats include bitmaps, metafiles, enhanced metafiles and device-independent bitmaps
- File formats include ASCII, Excel, Lotus, SYSTAT, SPSS
- Export numerical summaries and graphs to MS Word RTF documents
Data Input
- Up to 65,536 points in data table
- Over 65.4 million points can be filtered into table using decimation import filter
- ASCII (Single, X-Y and Multi-column)
- Excel (Excel 97, Excel 95, v5, v4, v3)
- Lotus 123 (WK4, WK3, WK1)
- Quattro Pro (WB2, WB1)
- SigmaPlot (JPG, SPW, SP5)
- SPSS (SAV v7.5, v8 and v9)
- SYSTAT (SYD v8)
- Waveform (WAV MS PCM 8, 16, 32 bit)
- DIF (Single, X-Y and Multi-column)
- dBase (DBF III+, IV)
- Import Preview graphs prospective data
- Separate append options that automatically averages replicates
Fourier Spectral Analysis
- Procedures: Fourier Spectrum, Fourier Spectrum with Data Window, Fourier Spectrum with Data Window Comparison, Fourier Spectrum of Segmented Data, Fourier Multitaper Spectra, Fourier Spectrum of Unevenly Sampled Data (Lomb-Scargle)
- Transforms: FFT Radix2, Prime Facto, Mixed Radix, Chirp-Z, Best Exact-N
- Zero pad
- 30 tapering windows:
- Fixed: none, Welch, Bisquare, Bartlett, cs2 Hanning, Tukey-Hanning, cs2 Hamming, Bartlett Mod, cs3 Nuttall C3, cs3 Blackman, cs3 Blackman-Harris 3, cs3 Nuttall C1, cs3 Blackman Exact, cs3 Blackman-Harris min, cs3 Nuttall min, cs4 Nuttall C5, cs4 Blackman-Harris 4, cs4 Nuttall C3, cs4 Nuttall C1, cs4 Blackman-Harris min, cs4 Nuttall min
Adjustable: Beta, csx max Roll-off, Kaiser-Bessel, VanderMaas, Chebyshev, Chebyshev Appr, Slepian DPSS, Gaussian, Tapered-Cosine - Compare up to 4 tapering windows simultaneously
- Measure data window properties: mainlobe, sidelobe, roll-off
Time-Frequency Spectral Analysis
- Short-Time Fourier Transform Spectrum uses a series of segmented and overlapped FFTs to find Fourier spectral information for non-stationary data
- Continuous Wavelet Spectrum multi-resolution time-frequency techniques: 3D surface, contour, power integration across time or frequency
- Wavelet spectra can be generated with up to 100 linear or logarithmic frequencies
- Adjustable mother wavelets: Morlet, Paul, Gaussian Derivative
- Zero padding available
- Full critical significance limits available as 3D gradients
- Graphical rendering of cone of influence
- Automated power analysis by integrating interpolated wavelet spectrum surface
Filtering and Reconstruction
- Fourier Smoothing and Denoising: frequency or signal threshold filtration
- Eigen decomposition Smoothing and Denoising: signal strength threshold filtration
- Wavelet Smoothing and Denoising: thresholds in the time-frequency domain for non-stationary data
- Fourier Filtering and Reconstruction: Fourier domain filtering and component isolation procedure
- Eigen decomposition Filtering and Reconstruction: isolates individual oscillatory components in signals
- Wavelet Filtering and Reconstruction: isolates in the time-frequency domain
- Savitzky-Golay Smoothing filter: includes smoothing to 1st through 4th derivative
- Spline Estimations: cubic, cubic constrained, smoothing cubic, B-spline, B-Spline Fix knots, B-spline Optimal knots, NURBS
- Adjustable order Loess with tricube and Gaussian weighting
Significance Levels
- Unique Peak-based critical limit levels to ascertain the significance of the spectral components
- Critical limits plotted are: 50%, 90%, 95%, 99%, 99.9% (uses color gradients for wavelets)
- Peak-type critical limits are based on Monte Carlo trials with algorithms exactly as implemented
- Can specify AR-1 red-noise background spectrum option
Production Facility
- Batch process large numbers of data sets in an unattended procedure
- Import up to 64,515 data sets from Excel 95/97 with up to 255 worksheets and multiple columns per worksheet
- Acquire data using simple DLL interface
- Automatically export numerical summaries and/or graphs to MS Word RTF documents
- Automatically export results of analysis to an Excel 95/97 file
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Institute of Transporation, Center of Harbor and Marine Technology
Taiwan Semiconductor Manufacturing Company, Ltd.
National Atomic Research Institute Physics Division
National Central University Institude of Space Science
National Taiwan University of Science and Technology Department of Civil and Construction Engineering
National Taiwan Sport University Graduate Institute of Athletics and Coaching Science
National Kaohsiung University of Science and Technology Department of Mechanical & Automation Engineering
National Kaohsiung University of Hospitality and Tourism
MingChi University of Technology Department of Materials Engineering
MingChi University of Technology Department of Mechanical Engineering
Water Resources Planning Branch, Water Resources Agency, Ministry of Economic Affairs Geo-lechnical Engineering Division
I-SHOU UNIVERSITY Department of Biomedical Engineering
University of Taipei
University of Taipei Computer Information Center
Institute of Occupational Safety and Health
Fooyin University Department of Environmental Engineering & Science
Taiwan Agricultural Research Institute, Ministry of Agriculture Agricultural Engineering Division