Sentence examples for detail function from inspiring English sources

Open image in new window Fig. 3 Detail function for the first level of decomposition for the clean signal (top), detail function for the first level of decomposition for the signal with SNR = 100 along with its Fourier spectrum (middle) and detail function for the seventh level of decomposition for the signal with SNR = 100 along with its Fourier spectrum (bottom).

Multiply each detail function D(s j,t) by the corresponding spectral ratio R(f j ) and reconstruct the signal with Equation 2.

It seen that a spike appears in the detail function that can be clearly related to the discontinuity caused in the signal.

Once the detail function is obtained we look for spikes on it, if no spikes are present one can refine the analysis by performing the next decomposition level (i.e. decomposing the first level detail function into additional approximation and detail functions, and so on).

Additional decompositions were performed to check if the discontinuity could be detected from a different detail function with narrower frequency content but the results were no successful, Fig. 3 (bottom) shows for example the results for the level 7 of decomposition (detail function with frequency content between 504 and 508 Hz).

Catphan QA also includes a contrast diameter detail function that returns dimensions of the smallest detectable target for each of the three contrast values and was used in order to obtain image quality low-contrast information.

They are referred to as the detail functions.

2. Once the wavelet coefficients C s,p) are calculated, the detail functions are constructed using Equation 3.   3.

It computes the wavelet decomposition, Equation 1, and constructs the detail functions, Equation 3, using a fast convolution implementation by means of the fast Fourier transform (FFT).

This algorithm decomposes the original record into detail functions (functions with a very dominant frequency and modulated amplitude) and reconstruct the signal through an iterative procedure that independently scale these detail functions to obtain an average match with the target spectrum [17].

Figure 3 (top) shows the detail functions obtained at the first level of decomposition using the Bior6.8 wavelet (notice that the Complex Morlet Wavelet used for the CWT cannot be used to implement the FWT).