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LTC1289BCSW Datasheet(PDF) 21 Page - Linear Technology |
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LTC1289BCSW Datasheet(HTML) 21 Page - Linear Technology |
21 / 28 page 21 LTC1289 1289fb output spectrum of the LTC1289 is shown in Figures 17a and 17b. The input (fIN) frequencies are 1kHz and 12kHz with the sampling frequency (fS) at 25kHz. The SNR obtained from the plot are 72.92dB and 72.23dB. Rewriting the SNR expression it is possible to obtain the equivalent resolution based on the SNR measurement. This is the so-called effective number of bits (ENOB). For the example shown in Figures 17a and 17b, N = 11.8 bits and 11.7 bits, respectively. Figure 18 shows a plot of ENOB as a function of input frequency. The curve shows the A/D’s ENOB remain in the range of 11.8 to 11.7 for input frequencies up to fS/2 S APPLICATI I FOR ATIO 7. LTC1289 AC Characteristics Two commonly used figures of merit for specifying the dynamic performance of the A/D’s in digital signal pro- cessing applications are the Signal-to-Noise Ratio (SNR) and the “effective number of bits (ENOB).” SNR is defined as the ratio of the RMS magnitude of the fundamental to the RMS magnitude of all the nonfundamental signals up to the Nyquist frequency (half the sampling frequency). The theoretical maximum SNR for a sine wave input is given by: SNR = (6.02N + 1.76dB) where N is the number of bits. Thus the SNR is a function of the resolution of the A/D. For an ideal 12-bit A/D the SNR is equal to 74dB. A Fast Fourier Transform(FFT) plot of the Figure 17a. fIN = 1kHz, fS = 25kHz, SNR = 72.92dB Figure 19. fIN1 = 2.6kHz, fIN2 = 3.1kHz, fS = 25kHz Figure 17b. fIN = 12kHz, fS = 25kHz, SNR = 72.23dB Figure 18. LTC1289 ENOB vs Input Frequency FREQUENCY (kHz) 0 6 7 8 9 10 11 12 10 20 30 40 LTC1289 • AIF18 50 fS = 25kHz SNR – 1.76dB 6.02 N = FREQUENCY (kHz) 0 –60 –40 0 610 LTC1289 F17a –80 –100 24 812 14 –120 –140 –20 FREQUENCY (kHz) 0 –60 –40 0 610 LTC1289 F17b –80 –100 24 812 14 –120 –140 –20 FREQUENCY (kHz) 0 –60 –40 0 610 LTC1289 F19 –80 –100 24 812 14 –120 –140 –20 |
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