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Analog to Digital (A/D) Conversion

Analog to Digital (A/D) Conversion. A/D fundamentals. A / D conversion is a process where an analog signal is converted into a numeric representation. Analog input is normally classified into one of two types and a voltage range Types and typical ranges Uni-polar (0 -1 V, 0 - 5V, 0 - 10V)

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Analog to Digital (A/D) Conversion

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  1. Analog to Digital (A/D) Conversion BAE 5413

  2. A/D fundamentals • A / D conversion is a process where an analog signal is converted into a numeric representation. • Analog input is normally classified into one of two types and a voltage range • Types and typical ranges • Uni-polar (0 -1 V, 0 - 5V, 0 - 10V) • Bi-polar (-1 to 1V, -5 to 5V, -10 to 10V) • Digital output is normally binary at the hardware level and typically decimal at the software interface level • Primary critical specifications for A/D conversions • Resolution • Conversion rate • Elements contributing to inaccuracy (non-linearity, offset/bias, missing codes, non-monotonicity) BAE 5413

  3. A/D fundamentals • Resolution • Normally specified in terms of the number of binary digits that the analog value is converted to: • eg. 8 bit conversion, 12 bit conversion, 16 bit conversion • Analog resolution can be computed from the specified resolution: • analog resolution = analog range / [2^(binary digits in result)] • example: a bi-polar A/D converter set to input a range of -10 to +10 V with a 12 bit conversion • analog resolution = 20V / [2^12] = 20/4096 V / bit = 4.9 mV/bit • Conversion Rate • The rate at which an A/D converter can make a conversion is critical. In general higher resolutions require greater time of greater cost or both. • Typically specified in samples per second (sometimes MSPS) BAE 5413

  4. The ideal output from an A/D converter is a stair-step function (see right) Ideal worst case error in conversion is  1/2 bit. Missing codes or the imperfections where increasing voltage does not result in the next step being output are described as non-monotonicity. Errors in A/D conversion may be significant particularly if the full range of the analog signal is significantly less than the range of the analog input of the A/D. Transfer Function BAE 5413

  5. A/D Converter Types • Dual Slope Integrating BAE 5413

  6. Operation Input signal is integrated for a fixed time Input is switched to the negative reference and the negative reference is then integrated until the integrator output is zero The time required to integrate the signal back to zero is used to compute the value of the signal Accuracy dependent on Vref and timing Characteristics Noise tolerant (Integrates variations in the input signal during the T1 phase) Typically slow conversion rates (Hz to few kHz) A/D Converter Types BAE 5413

  7. Successive Approximation (Digital to Analog Conversion + null balancing) 4 bit D/A using a summing amplifier and switch 4 bit D/A using R-2R ladder Digital value (D1, D2, D3 etc.) is converted to an analog value A/D Converter Types BAE 5413

  8. A/D Converter Types • Successive Approximation Converter Schematic BAE 5413

  9. Conversion At start of conversion, the clock is used to cycle a counter that drives the D/A converter. When the D/A output is larger than the input then the count is reduced otherwise it is increased using an algorithm to home in on the matching value. When the counter step size is within the tolerance desired (usually 1 count) then conversion is stopped and the digital value being output to the D/A is output BAE 5413

  10. Some A/D converters require the input analog signal to be held constant during conversion, (eg. successive approximation devices) In other cases, peak capture or sampling at a specific point in time necessitates a sampling device. This function is accomplished by a sample and hold device as shown to the right: These devices are incorporated into some A/D converters Sample and hold devices BAE 5413

  11. Flash Conversion A multi-level voltage divider is used to set voltage levels over the complete range of conversion. A comparator is used at each level to determine whether the voltage is lower or higher than the level. The series of comparator outputs are encoded to a binary number in digital logic (an encoder) A/D Converter Types BAE 5413

  12. A/D Converter Types • Sigma / Delta BAE 5413

  13. Operation Comparator feedback signal is subtracted from analog input and the difference is integrated. The average value of VF is forced to equal Va. VF is a digital pulse stream whose duty cycle is proportional to Va This is known as Delta modulation This pulse stream is sampled digitally and averaged numerically (decimation) Giving a numerical representation of the voltage in. The error in the average or mean is: The greater the number of samples averaged, the greater the accuracy The greater the number of samples averaged, the greater the time between the start of gathering samples and the output of the mean (group delay) This A/D does not work well if switched from channel to channel because of the delay till valid result A/D Converter Types BAE 5413

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