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TLC32046MFKB Datasheet(PDF) 29 Page - Texas Instruments |
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TLC32046MFKB Datasheet(HTML) 29 Page - Texas Instruments |
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29 / 56 page ![]() Error = 20 log sin π f/fs π f/fs 2–15 Table 2–5. (sin x)/x Roll-Off Error fs (Hz) f = 3000 Hz f = 3000 Hz (dB) 7200 – 2.64 8000 – 2.11 9600 – 1.44 14400 – 0.63 16000 – 0.50 19200 – 0.35 25000 – 0.21 The actual AIC (sin x)/x roll-off is slightly less than the figures in Table 2–5 because the AIC has less than 100% duty cycle hold interval. 2.27 Correction Filter To externally compensate for the (sin x)/x roll-off of the AIC, a first-order correction filter can be implemented as shown in Figure 2–8. y(i + 1) p1 + + (1 – p1) p2 u (i + 1) Z – 1 X X Σ Figure 2–8. First-Order Correction Filter The difference equation for this correction filter is: (4) y(i + 1) = p2 ⋅ (1 – p1) ⋅ u(i + 1) + p1 ⋅ y(i) where the constant p1 determines the pole locations. The resulting squared magnitude transfer function is: | H (f) | 2 = (p2)2 V (1–p1)2 1 – 2 V p1 V cos (2p f/fs) + (p1)2 (5) 2.28 Correction Results Table 2-6 shows the optimum p values and the corresponding correction results for 8000-Hz and 9600-Hz sampling rates (see Figures 5 – 8, 5 –9, and 5 –10). |
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