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AD73422 Datasheet(PDF) 12 Page - Analog Devices |
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AD73422 Datasheet(HTML) 12 Page - Analog Devices |
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12 / 36 page ![]() REV. 0 AD73422 –12– Decimation Filter The digital filter used in the AD73422’s AFE section carries out two important functions. Firstly, it removes the out-of-band quantization noise, which is shaped by the analog modulator, and secondly, it decimates the high frequency bitstream to a lower rate 16-bit word. The antialiasing decimation filter is a sinc-cubed digital filter that reduces the sampling rate from DMCLK/8 to DMCLK/ 256, and increases the resolution from a single bit to 15 bits or greater (depending on chosen sampling rate). Its Z transform is given as: [(1–Z –N)/(1–Z–1)]3 where N is set by the sampling rate (N = 32 @ 64 kHz sampling . . . N = 256 @ 8 kHz sampling) Thus when the sampling rate is 64 kHz a minimal group delay of 25 µs can be achieved. Word growth in the decimator is determined by the sampling rate. At 64 kHz sampling, where the oversampling ratio between sigma-delta modulator and decimator output equals 32, we get five bits per stage of the three stage Sinc3 filter. Due to symme- try within the sigma-delta modulator, the LSB will always be a zero, therefore the 16-bit ADC output word will have 2 LSBs equal to zero, one due to the sigma-delta symmetry and the other being a padding zero to make up the 16-bit word. At lower sampling rates, decimator word growth will be greater than the 16-bit sample word, therefore truncation occurs in transferring the decimator output as the ADC word. For example at 8 kHz sampling, word growth reaches 24 bits due to the OSR of 256 between sigma-delta modulator and decimator output. This yields eight bits per stage of the 3-stage Sinc3 filter. ADC Coding The ADC coding scheme is in twos complement format (see Figure 6). The output words are formed by the decimation filter, which grows the word length from the single-bit output of the sigma-delta modulator to a word length of up to 18 bits (depending on decimation rate chosen), which is the final out- put of the ADC block. In Data Mode this value is truncated to 16 bits for output on the Serial Data Output (SDO) pin. For input values equal to or greater than positive full scale, however, VREF VFBP VFBN ANALOG INPUT VREF + (VREF 0.32875) VREF – (VREF 0.32875) ANALOG INPUT VREF + (VREF 0.6575) VREF – (VREF 0.6575) VFBP VFBN 10...00 00...00 01...11 ADC CODE DIFFERENTIAL 10...00 00...00 01...11 ADC CODE SINGLE-ENDED VREF Figure 6. ADC Transfer Function the output word is set at 0x7FFF, which has the LSB set to 1. In mixed Control/Data Mode, the resolution is fixed at 15 bits, with the MSB of the 16-bit transfer being used as a flag bit to indicate either control or data in the frame. Decoder Channel The decoder channels consist of digital interpolators, digital sigma-delta modulators, single bit digital-to-analog converters (DAC), analog smoothing filters and programmable gain ampli- fiers with differential outputs. DAC Coding The DAC coding scheme is in twos complement format with 0x7FFF being full-scale positive and 0x8000 being full-scale negative. Interpolation Filter The anti-imaging interpolation filter is a sinc-cubed digital filter that up-samples the 16-bit input words from the input sample rate to a rate of DMCLK/8, while filtering to attenuate images produced by the interpolation process. Its’ Z transform is given as: [(1–Z –N)/(1–Z–1)]3 where N is determined by the sampling rate (N = 32 @ 64 kHz . . . N = 256 @ 8 kHz). The DAC re- ceives 16-bit samples from the host DSP processor at the pro- grammed sample rate of DMCLK/N. If the host processor fails to write a new value to the serial port, the existing (previous) data is read again. The data stream is filtered by the anti-imaging interpolation filter, but there is an option to bypass the interpo- lator for the minimum group delay configuration by setting the IBYP bit (CRE:5) of Control Register E. The interpolation filter has the same characteristics as the ADC’s antialiasing decima- tion filter. The output of the interpolation filter is fed to the DAC’s digital sigma-delta modulator, which converts the 16-bit data to 1-bit samples at a rate of DMCLK/8. The modulator noise-shapes the signal so that errors inherent to the process are minimized in the passband of the converter. The bitstream output of the sigma-delta modulator is fed to the single bit DAC where it is converted to an analog voltage. Analog Smoothing Filter and PGA The output of the single-bit DAC is sampled at DMCLK/8, therefore it is necessary to filter the output to reconstruct the low frequency signal. The decoder’s analog smoothing filter consists of a continuous-time filter preceded by a third-order switched-capacitor filter. The continuous-time filter forms part of the output programmable gain amplifier (PGA). The PGA can be used to adjust the output signal level from –15 dB to +6 dB in 3 dB steps, as shown in Table II. The PGA gain is set by bits OGS0, OGS1 and OGS2 (CRD:4-6) in Control Register D. Table II. PGA Settings for the Decoder Channel OGS2 OGS1 OGS0 Gain (dB) 000 +6 001 +3 010 0 011 –3 100 –6 101 –9 110 –12 111 –15 |
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