Methodology for the Digital Calibration of Analog Circuits by Marc Pastre, Maher Kayal

By Marc Pastre, Maher Kayal

Method for the electronic Calibration of Analog Circuits and Systemsshows the right way to chill out the extraordinary layout constraints in analog circuits, permitting the belief of high-precision platforms in spite of low-performance components.A entire method is proposed, andthree purposes are detailed.
To begin with, an in-depth research of latest repayment concepts for analog circuit imperfections is conducted. The M/2+M sub-binary digital-to-analog converter is carefully studied, and using this very low-area circuit at the side of a successive approximations set of rules for electronic repayment is defined. an entire technique according to this repayment circuit and set of rules is then proposed. The detection and correction of analog circuit imperfections is studied, and a simulation instrument permitting the obvious simulation of analog circuits with computerized reimbursement blocks is introduced.
The first program exhibits how the sub-binary M/2+M constitution will be hired as a traditional digital-to-analog converter if calibration and radix conversion algorithms are implemented.
The moment program, a SOI 1T DRAM, is then offered. A electronic set of rules chooses an appropriate reference worth that compensates numerous circuit imperfections jointly, from the experience amplifier offset to the dispersion of the reminiscence learn currents.
The 3rd program is the calibration of the sensitivity of a present size microsystem in line with a corridor magnetic box sensor. utilizing a variation of the chopper modulation, the spinning present procedure, mixed with a moment modulation of a reference sign, the sensitivity of the whole procedure is always measured with out interrupting common operation. A thermal waft less than 50 ppm/°C is accomplished, that is 6 to ten occasions under in cutting-edge implementations. in addition, the calibration strategy additionally compensates drifts because of mechanical stresses and growing old.

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14 Analog output value (A) 12 10 8 6 4 2 0 0 2 4 6 8 10 12 Digital input code (D) 14 16 Figure 25. 3 Digital Calibration of Analog Circuits and Systems Resolution The resolution of a digital-to-analog converter is the ratio between the full scale FS (the range of possible output values) and the LSB value (the smallest difference between two codes). 11) The resolution is usually expressed in bits, by calculating the log2 of the previous equation. The advantage of code redundancy of sub-binary radix converters is also their slight disadvantage.

The optimal case with a radix-2 converter is realizable only with perfect components (δ = 0). 1), all the components should be made integer multiples of the least significant one (b1). 17 is only theoretical and represents the best case, which is never implemented in practice. 6 CURRENT SOURCES Compensating directly the imperfections of the components by tuning them is not always the best solution. Instead of compensating the source of imperfections, it is also possible to act on their consequences.

If the characteristics change with the age of the circuit, a single calibration at power-up can be considered. If they change with temperature, calibration can be performed periodically at low frequency (in the Hz range). Finally, if the variation is faster, like 1/f noise for instance, the compensation must also be performed at higher rates. 9 CONCLUSION There are various techniques to improve the performances of analog circuits. Although they all have specific applications, the digital solutions generally seem better adapted to the long-term evolution of manufacturing processes.

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