Recursive computation of polynomial transform coefficients

1991 ◽  
Vol 27 (25) ◽  
pp. 2337 ◽  
Author(s):  
W. Philips
Keyword(s):  
Recursive Computation ◽  
Polynomial Transform ◽  
Transform Coefficients

scholarly journals Fast Recursive Computation of Sliding DHT with Arbitrary Step

Sensors ◽  
2020 ◽  
Vol 20 (19) ◽  
pp. 5556
Author(s):  
Vitaly Kober
Keyword(s):  
Spectral Analysis ◽  
Stationary Process ◽  
Moving Window ◽  
Fixed Size ◽  
Discrete Hartley Transform ◽  
Hartley Transform ◽  
Speed Up ◽  
Recursive Computation ◽  
Transform Coefficients ◽  
Short Time

Short-time (sliding) transform based on discrete Hartley transform (DHT) is often used to estimate the power spectrum of a quasi-stationary process such as speech, audio, radar, communication, and biomedical signals. Sliding transform calculates the transform coefficients of the signal in a fixed-size moving window. In order to speed up the spectral analysis of signals with slowly changing spectra, the window can slide along the signal with a step of more than one. A fast algorithm for computing the discrete Hartley transform in windows that are equidistant from each other is proposed. The algorithm is based on a second-order recursive relation between subsequent equidistant local transform spectra. The performance of the proposed algorithm with respect to computational complexity is compared with the performance of known fast Hartley transform and sliding algorithms.

Image Digest using Color Vector Angle and Dominant Walsh-Hadamard Transform Coefficients

2021 ◽  
Author(s):  
Naveena Budda ◽  
K. Meenakshi ◽  
Padmavathi Kora ◽  
G.V. Subba Reddy ◽  
K. Swaraja
Keyword(s):  
Hadamard Transform ◽  
Color Vector ◽  
Transform Coefficients ◽  
Walsh Hadamard Transform ◽  
Vector Angle

Recursive computation of bivariate Hermite spline interpolants

2007 ◽  
Vol 57 (8) ◽  
pp. 962-973 ◽  
Author(s):  
A. Mazroui ◽  
D. Sbibih ◽  
A. Tijini
Keyword(s):  
Recursive Computation ◽  
Hermite Spline ◽  
Spline Interpolants

Study on Damage Detection of Bridge Based on Wavelet Multi-Scale Analysis

2013 ◽  
Vol 639-640 ◽  
pp. 1010-1014 ◽  
Author(s):  
Ke Ding ◽  
Ting Peng Chen
Keyword(s):  
Wavelet Transform ◽  
Damage Detection ◽  
Detection Method ◽  
Mode Shapes ◽  
Scale Analysis ◽  
Multi Scale ◽  
Damage Location ◽  
Transform Coefficients ◽  
Beam Bridge ◽  
Multi Scale Analysis

The damage detection method based on wavelet multi-scale analysis is presented in the paper. The damage location can be identified by analyzing the multi-scale wavelet transform coefficients of curvatures of mode shapes. The extreme value of wavelet transform coefficients indicates the damage location. But it is difficult to detect the location of defect if the defect is near to the equilibrium position of vibration. In order to solve this problem, we put forward a method which is to add the wavelet transform coefficients of multi modals together. The method can effectively overcome the above problem. Three damage situations of simply supported beam bridge are discussed in the paper. The results show that the peaks of wavelet transform coefficients indicate the damage location of structural. It is possible to pinpoint the damage location based on wavelet multi-scale analysis on curvatures of mode shapes.

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