Download e-book for kindle: KTeV beam systems design report by Coleman, R.; Childress, S.; Bocean, V.; Fermi National

By Coleman, R.; Childress, S.; Bocean, V.; Fermi National Accelerator Laboratory.; United States. Dept. of Energy. Office of Energy Research.; United States. Dept. of Energy. Office of Scientific and Technical Information

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11 Design an HP Chebyshev 3-dB “equal component” ﬁlter at a cutoff frequency of 200 Hz. 5 dB, f2 = 100 Hz, K = 1; (b) its frequency response. 19b. 19 (a) HP Chebyshev 3-dB, “equal component,” f2 = 200 Hz; (b) its frequency response. 8 HIGHER-ORDER FILTERS In the preceding sections of this chapter we have considered the realization of secondorder ﬁlters using Sallen–Key circuits. Many ﬁltering applications, however, require ﬁlters of higher than second order, either to provide greater stopband attenuation and sharper cutoff at the edge of the passband in the low-pass or high-pass case, or to provide a broad passband with some special transmission characteristic in the bandpass case.

39). 9, are omitted from the transformation. After the normalized low-pass conﬁguration is transformed into a high-pass ﬁlter, the circuit is frequency- and impedance-scaled in the same manner as in the design of low-pass ﬁlters. 9 Design a 100-Hz HP Butterworth with gain 10. 17b. 17 (a) HP Butterworth ﬁlter, with f2 = 100 Hz, K = 10; (b) frequency response. 5-dB ﬁlter must be designed with a gain of 1 at a cutoff frequency of 100 Hz. 18 b. 11 Design an HP Chebyshev 3-dB “equal component” ﬁlter at a cutoff frequency of 200 Hz.

2 shows the frequency response of the ﬁlter. 1 A ﬁrst-order LP Butterworth ﬁlter must be designed with gain of 5 at a cutoff frequency of 1 kHz. 2 Frequency response of ﬁrst-order LPF. 3 LP Butterworth ﬁlter, where f1 = 1 kHz and K = 5 (14 dB). 3 shows the designed ﬁlter with its frequency response. 4 shows the ﬁrst-order high-pass ﬁlter with noninverting gain K. 4 First-order HPF with gain K. 10), we have: From this transfer function, we have: 1. For s << 1 ω2 ∴ ⎛ ω⎞ H ( jω ) = K ⎜ j ⎟ ⎝ ω2 ⎠ ∴ ⎛ ω⎞ A = 20 log H ( jω ) = 20 log K + 20 log ⎜ ⎟ dB ⎝ ω2 ⎠ Sallen–Key Filters 27 ω = 10 ω2 ω For =2 ω2 For ∴ slope = 20 dB / dec.

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