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LM4809 датащи(PDF) 13 Page - National Semiconductor (TI) |
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LM4809 датащи(HTML) 13 Page - National Semiconductor (TI) |
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13 / 18 page ![]() Application Information (Continued) find the minimum supply voltage is to use the Output Power vs Supply Voltage curve in the Typical Performance Char- acteristics section. Another way, using Equation (5), is to calculate the peak output voltage necessary to achieve the desired output power for a given load impedance. To ac- count for the amplifier’s dropout voltage, two additional volt- ages, based on the Dropout Voltage vs Supply Voltage in the Typical Performance Characteristics curves, must be added to the result obtained by Equation (5). For a single-ended application, the result is Equation (6). (5) V DD ≥ (2V OPEAK +(VODTOP +VODBOT)) (6) The Output Power vs Supply Voltage graph for a 32 Ω load indicates a minimum supply voltage of 4.8V. This is easily met by the commonly used 5V supply voltage. The additional voltage creates the benefit of headroom, allowing the LM4809 to produce peak output power in excess of 70mW without clipping or other audible distortion. The choice of supply voltage must also not create a situation that violates maximum power dissipation as explained above in the Power Dissipation section. Remember that the maximum power dissipation point from Equation (1) must be multiplied by two since there are two independent amplifiers inside the package. Once the power dissipation equations have been addressed, the required gain can be determined from Equa- tion (7). (7) Thus, a minimum gain of 1.497 allows the LM4809 to reach full output swing and maintain low noise and THD+N perfro- mance. For this example, let A V=1.5. The amplifiers overall gain is set using the input (R i ) and feedback (R f ) resistors. With the desired input impedance set at 20k Ω, the feedback resistor is found using Equation (8). A V =Rf/Ri (8) The value of R f is 30k Ω. The last step in this design is setting the amplifier’s −3db frequency bandwidth. To achieve the desired ±0.25dB pass band magnitude variation limit, the low frequency response must extend to at lease one−fifth the lower bandwidth limit and the high frequency response must extend to at least five times the upper bandwidth limit. The gain variation for both response limits is 0.17dB, well within the ±0.25dB desired limit. The results are an f L = 100Hz/5 = 20Hz (9) and a f H = 20kHz * 5 = 100kHz (10) As stated in the External Components section, both R i in conjunction with C i, and Co with RL, create first order high- pass filters. Thus to obtain the desired low frequency re- sponse of 100Hz within ±0.5dB, both poles must be taken into consideration. The combination of two single order filters at the same frequency forms a second order response. This results in a signal which is down 0.34dB at five times away from the single order filter −3dB point. Thus, a frequency of 20Hz is used in the following equations to ensure that the response is better than 0.5dB down at 100Hz. C i ≥ 1/(2π * 20kΩ * 20Hz) = 0.397µF; use 0.39µF.(11) C o ≥ 1/(2π *32Ω * 20Hz) = 249µF; use 330µF. (12) The high frequency pole is determined by the product of the desired high frequency pole, f H, and the closed-loop gain, A V. With a closed-loop gain of 1.5 and fH = 100kHz, the resulting GBWP = 150kHz which is much smaller than the LM4809’s GBWP of 900kHz. This figure displays that if a designer has a need to design an amplifier with a higher gain, the LM4809 can still be used without running into bandwidth limitations. www.national.com 13 |
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