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LMF100CIWM Datasheet(PDF) 9 Page - National Semiconductor (TI) |
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LMF100CIWM Datasheet(HTML) 9 Page - National Semiconductor (TI) |
9 / 28 page 1.0 Definitions of Terms f CLK: the frequency of the external clock signal applied to pin 10 or 11. f 0: center frequency of the second order function complex pole pair. f 0 is measured at the bandpass outputs of the LMF100, and is the frequency of maximum bandpass gain. ( Figure 1). f notch: the frequency of minimum (ideally zero) gain at the notch outputs. f z: the center frequency of the second order complex zero pair, if any. If f z is different from f0 and if Qz is high, it can be observed as the frequency of a notch at the allpass output. ( Figure 13). Q: “quality factor” of the 2nd order filter. Q is measured at the bandpass outputs of the LMF100 and is equal to f 0 divided by the −3 dB bandwidth of the 2nd order bandpass filter ( Fig- ure 1). The value of Q determines the shape of the 2nd order filter responses as shown in Figure 6. Q z: the quality factor of the second order complex zero pair, if any. Q Z is related to the allpass characteristic, which is written: where Q Z = Q for an all-pass response. H OBP: the gain (in V/V) of the bandpass output at f = f0. H OLP: the gain (in V/V) of the lowpass output as f → 0Hz ( Figure 2). H OHP: the gain (in V/V) of the highpass output as f → fCLK/2 ( Figure 3). H ON: the gain (in V/V) of the notch output as f → 0 Hz and as f → f CLK/2, when the notch filter has equal gain above and below the center frequency ( Figure 4). When the low-frequency gain differs from the high-frequency gain, as in modes 2 and 3a ( Figure 10 and Figure 12), the two quan- tities below are used in place of H ON. H ON1: the gain (in V/V) of the notch output as f → 0 Hz. H ON2: the gain (in V/V) of the notch output as f → fCLK/2. DS005645-19 (a) DS005645-20 (b) FIGURE 1. 2nd-Order Bandpass Response www.national.com 9 |
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