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LTC1196 датащи(PDF) 22 Page - Linear Technology |
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LTC1196 датащи(HTML) 22 Page - Linear Technology |
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22 / 28 page ![]() 22 LTC1196/LTC1198 S APPLICATI I FOR ATIO produce intermodulation distortion (IMD) in addition to THD. IMD is the change in one sinusoidal input caused by the presence of another sinusoidal input at a different frequency. If two pure sine waves of frequencies fa and fb are applied to the ADC input, nonlinearities in the ADC transfer func- tion can create distortion products at sum and difference frequencies of mfa ± nfb, where m and n = 0, 1, 2, 3, etc. For example, the 2nd order IMD terms include (fa + fb) and (fa – fb) while 3rd order IMD terms include (2fa + fb), (2fa – fb), (fa + 2fb), and (fa – 2fb). If the two input sine waves are equal in magnitudes, the value (in dB) of the 2nd order IMD products can be expressed by the following formula: IMD f f mplitude f f ab ab ± ()= ± () 20log a amplitude at fa For input frequencies of 499kHz and 502kHz, the IMD of the LTC1196/LTC1198 is 51dB with a 5V supply. Peak Harmonic or Spurious Noise The peak harmonic or spurious noise is the largest spec- tral component excluding the input signal and DC. This value is expressed in dBs relative to the RMS value of a full- scale input signal. Full-Power and Full-Linear Bandwidth The full-power bandwidth is that input frequency at which the amplitude of the reconstructed fundamental is re- duced by 3dB for a full-scale input. The full-linear bandwidth is the input frequency at which the effective bits rating of the ADC falls to 7 bits. Beyond this frequency, distortion of the sampled input signal increases. The LTC1196/LTC1198 have been designed to optimize input bandwidth, allowing the ADCs to undersample input signals with frequencies above the converters’ Nyquist Frequency. rate of 1.2MHz with a 5V supply the LTC1196 maintains above 7.5 ENOBs at 400kHz input frequency. Above 500kHz the ENOBs gradually decline, as shown in Figure 11, due to increasing second harmonic distortion. The noise floor remains low. Figure 11. Effective Bits and S/(N + D) vs Input Frequency Total Harmonic Distortion Total Harmonic Distortion (THD) is the ratio of the RMS sum of all harmonics of the input signal to the fundamental itself. The out-of-band harmonics alias into the frequency band between DC and half of the sampling frequency. THD is defined as: THD = +++ + 20log VVV V V 2 2 3 2 4 2 N 2 1 ... where V1 is the RMS amplitude of the fundamental fre- quency and V2 through VN are the amplitudes of the second through the Nth harmonics. The typical THD speci- fication in the Dynamic Accuracy table includes the 2nd through 5th harmonics. With a 100kHz input signal, the LTC1196/LTC1198 have typical THD of 50dB and 49dB with VCC = 5V and VCC = 3V, respectively. Intermodulation Distortion If the ADC input signal consists of more than one spectral component, the ADC transfer function nonlinearity can INPUT FREQUENCY (Hz) 1k 8 7 6 5 4 3 2 1 0 10k 100k 1M 1196/98 G24 50 44 VREF = VCC = 2.7V fSMPL = 383kHz (LTC1196) fSMPL = 287kHz (LTC1198) VREF = VCC = 5V fSMPL = 1MHz (LTC1196) fSMPL = 750kHz (LTC1198) TA = 25°C |
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