An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
Choosing nodes in parametric curve interpolation
Computer-Aided Design
Time-frequency analysis: theory and applications
Time-frequency analysis: theory and applications
Joint time-frequency analysis: methods and applications
Joint time-frequency analysis: methods and applications
Healing Nurb surfaces
Digital Signal Processing: A Computer-Based Approach
Digital Signal Processing: A Computer-Based Approach
Data-adaptive evolutionary spectral estimation
IEEE Transactions on Signal Processing
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A new technique for the time-spectrum analysis of non-stationary signals is presented. The proposed technique smoothly fits a system's time-varying spectral coefficients using the combined methods of Fourier analysis and B-splines. The resulting algorithm is efficient and generally effective. Algorithm assumptions and limitations are identified; performance is explored using simulated data. Provided certain conditions are met, the algorithm degenerates into the well-known cases of the simple and averaged periodograms. Methods are presented to calculate knot spacing based on the frequency and geometric properties of the ensuing time-spectrum curve. Near real-time capabilities are also discussed. Finally, the method is compared with other time-spectrum analysis techniques such as the evolutionary periodogram (EP).