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LMV771 датащи(PDF) 15 Page - National Semiconductor (TI) |
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LMV771 датащи(HTML) 15 Page - National Semiconductor (TI) |
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15 / 21 page ![]() Application Note (Continued) HIGH PASS FILTER In a similar approach, one can derive the transfer function of a high pass filter. A typical first order high pass filter is shown below: Writing the KCL for this circuit : (V 1 denotes the voltage between C and R1) (12) (13) Solving these two equations to find the transfer function and using: (high frequency gain) and Which results: (14) Looking at the transfer function, it is clear that when f/f O is small, the capacitor is open and hence no signal is getting in to the amplifier. As the frequency increases the amplifier starts operating. Atf=f O the capacitor behaves like a short circuit and the amplifier will have a constant, high frequency, gain of H O. The bode plot of the transfer function follows: BAND PASS FILTER Combining a low pass filter and a high pass filter will gener- ate a band pass filter. In this network the input impedance forms the high pass filter while the feedback impedance forms the low pass filter. Choosing the corner frequencies so that f 1 < f2, then all the frequencies in between, f1 ≤ f ≤ f 2, will pass through the filter while frequencies below f 1 and above f 2 will be cut off. The transfer function can be easily calculated using the same methodology as before. (15) Where The transfer function is presented in the following figure. 20039654 FIGURE 5. 20039658 FIGURE 6. 20039660 FIGURE 7. www.national.com 15 |
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