Bandwidth parameter

In the work presented here, a slightly different two-parameter transient model has been used. Instead of specifying a center frequency b and the bandwidth parameter a of the amplitude function A(t) = 6 , a simple band pass signal with lower and upper cut off frequencies and fup was employed. This implicitly defined a center frequency / and amplitude function A t). An example of a transient prototype both in the time and frequency domain is found in Figure 1. 

The Solver was used to vary the values in cells D4 F6 and G4 G5 to make cell 17 a minimum. Because the data did not permit a complete resolution of band 4, cell G6, the bandwidth parameter for band 4, was held constant at the reasonable value of 1.5. The results are shown on the spreadsheet. The resolved spectrum (solid line), with the four bands (broken lines), is shown in Figure 21-11. 

Specific results of calculated kb values for a diversity of ABC model functions are shown in Fig. 6. The model parameters A and B were varied within defined bandwidths (parameter C fixed at a value of 2.5) and translated into equivalent parameters a r and r. The mean vertical and lateral dimensions of the described roughness features are in the nanometer range. They can, however, be generally extended into the micrometer range as well, as the diagram expresses the independence of /CB on the absolute structural dimension. 

Once a LP prototype filter has been designed, a prototype HP, BP, or BS L-C filter is realized by replacing the LP network elements according to the scheme shown in Table 4.12. This technique is called frequency mapping. Recall that prototype means that the cutoff frequency of a frequency-mapped HP filter or the center frequency of a frequency-mapped BP or BS filter is 1 rad/s (Fig. 4.37) when operating with a l-f2 load. The bandwidth parameter B in Table 4.12 expresses bandwidth of a BS or BP filter as the ratio of bandwidth to center frequency. If, for example, the bandwidth and center frequency requirements for a BP or BS filter are 100 Hz and 1 kHz, respectively, then the prototype bandwidth parameter B is 0.1. The general network configurations for HP, BP, and BS L-C filters are shown in Fig. 4.38. 

Traditional AAKR adopts as Ker function the Gaussian Radial Basis Function (RBF) with bandwidth parameter h, i.e. ... 

For both the traditional and modified AAKR methods, the optimal bandwidth parameter, h, has been identified by minimizing the Mean Square Error (MSE) of the reconstructions on the valida-... 

Apart from an adjustable rauge, current accelerometers also provide for configurable offsets, allowing calibration of the sensor at run-lime whereby the (X 1 ) offset values are kept in the sensor. An integrated low-pass filter can furthermore be controlled via the bandwidth parameter, going from 1 kHz down to 8 Hz for the BMA150. 

The cross variance between the response process X(t) and the modulation process Y (t) is used in the definition of the time-variant central fi-e-quency, C0c(0> and bandwidth parameter, q(t), of eNSSPX(f) as... 

In this equation 5x is the so-called bandwidth parameter of the process X(f) (Vanmarcke 1972, 1975). This parameter measures the variation of the narrowness of the stochastic process X(i). Usually, a stochastic process with 0 < < 0.35... 

Stochastic Analysis of Linear Systems, Fig. 2 NGSM functions, lj,uu(f) (/ = 0, 1, 2) and bandwidth parameter, of the transient response of an oscillator... 

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