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MCP3910 датащи(PDF) 35 Page - Microchip Technology |
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MCP3910 датащи(HTML) 35 Page - Microchip Technology |
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35 / 90 page ![]() 2012-2020 Microchip Technology Inc. DS20005116D-page 35 MCP3910 Equation 5-1 calculates the filter z-domain transfer function. EQUATION 5-1: SINC FILTER TRANSFER FUNCTION Equation 5-2 calculates the settling time of the ADC as a function of DMCLK periods. EQUATION 5-2: The SINC1 filter following the SINC3 filter is only enabled for the high OSR settings. This SINC1 filter provides additional rejection at a low cost with little modification to the -3 dB bandwidth. The resolution (number of significant bits) of the digital filter is a 24-bit maximum for any OSR and data format choice. The resolution depends only on the OSR[2:0] settings in the CONFIG0 register per Table 5-4. Once the OSR is chosen, the resolution is fixed and the output code respects the data format defined by the WIDTH_DATA[1:0] setting in the STATUSCOM register (see Section 5.5 “ADC Output Coding”). The gain of the transfer function of this filter is one at each multiple of DMCLK (typically 1 MHz), so a proper anti-aliasing filter must be placed at the inputs. This will attenuate the frequency content around DMCLK and keep the desired accuracy over the baseband of the con- verter. This anti-aliasing filter can be a simple, first-order RC network, with a sufficiently low time constant to generate high rejection at the DMCLK frequency . Any unsettled data are automatically discarded to avoid data corruption. Each data ready pulse corresponds to fully settled data at the output of the decimation filter. The first data available at the output of the decimation filter are present after the complete settling time of the filter (see Table 5-4). After the first data have been processed, the delay between two data ready pulses is one DRCLK period. The data stream from input to out- put is delayed by an amount equal to the settling time of the filter (which is the group delay of the filter). The resolution achievable, the -3 dB bandwidth and the settling time at the output of the decimation filter (the output of the ADC) are dependent on the OSR of each SINC filter and are summarized in Table 5-4. FIGURE 5-4: SINC Filter Frequency Response, OSR = 256, MCLK = 4 MHz, PRE[1:0] = 00. FIGURE 5-5: SINC Filter Frequency Response, OSR = 4096 (in pink), OSR = 512 (in blue), MCLK = 4 MHz, PRE[1:0] = 00. Hz 1z - OSR 3 – 3 OSR 3 1z 1 – – 3 ---------------------------------------------- 1z - OSR 1 OSR 3 – OSR 1 1z - OSR 3 – --------------------------------------------------------- = Where z EXP 2 jf in DMCLK = Sett lingTi me DMCLKperiods 3OSR 3 OSR 1 1 – OSR 3 + = TABLE 5-4: OVERSAMPLING RATIO AND SINC FILTER SETTLING TIME OSR[2:0] OSR3 OSR1 Total OSR Resolution in Bits (No Missing Code) Settling Time -3 dB Bandwidth 000 32 1 32 17 96/DMCLK 0.26*DRCLK 001 64 1 64 20 192/DMCLK 0.26*DRCLK 010 128 1 128 23 384/DMCLK 0.26*DRCLK 011 256 1 256 24 768/DMCLK 0.26*DRCLK 100 512 1 512 24 1536/DMCLK 0.26*DRCLK 101 512 2 1024 24 2048/DMCLK 0.37*DRCLK 110 512 4 2048 24 3072/DMCLK 0.42*DRCLK 111 512 8 4096 24 5120/DMCLK 0.43*DRCLK -80 -60 -40 -20 0 -120 -100 1 10 100 1000 10000 100000 Input Frequency (Hz) -100 -80 -60 -40 -20 0 -160 -140 -120 1 100 10000 1000000 Input Frequency (Hz) |
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