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Generalized Inverted Ladder Digital-to-Analog Converter


Recently, a generalized ladder digital-to-analog converter (DAC) for any radix has been proposed with analog voltage output. In this paper, a new generalized inverted ladder DAC with analog current output is proposed. Analog voltage output is also obtained using a current-to-voltage converter. Spread relations for this DAC are derived. Interestingly, the DACs with radices 2 and 3 have the same spread of 2. As the radix increases, the switching arrangement becomes more and more complex. Practical results obtained for radices 3 and 4 almost tally with the theoretically expected results.

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  1. 1.

    K.W. Current, Quaternary-to-analog conversion with resistive ladders. IEEE Proc. 70, 408–409 (1982)

    Article  Google Scholar 

  2. 2.

    Sc Dutta Roy, Digitally programmable gain amplifier. IETE Trans. Instrum. Meas 33, 329–332 (1984)

    Article  Google Scholar 

  3. 3.

    S.M. Faruque, B.B. Bhattacharyya, T.S. Rathore, A switched-capacitor based digital-to-analog converter. J. IE (India) ET-Div. 72, 115–116 (1992)

    Google Scholar 

  4. 4.

    E.A. Faulkner, Improved method of digital/analog and analog/digital conversion. Electron. Lett. 19, 896–897 (1983)

    Article  Google Scholar 

  5. 5.

    T. Miyata, Watahiki K. Tamagawa, Ternary-to-analog converters using resistor ladders. IEEE Proc. 67, 1165–1166 (1979)

    Article  Google Scholar 

  6. 6.

    T.S. Rathore, Optimized weighted-resistor digital to analog converter. IEE Proc. 145, 197–200 (1998)

    Article  Google Scholar 

  7. 7.

    T.S. Rathore, A novel ladder digital to analog converter. IETE J. Edn. 40, 21–22 (1999)

    Article  Google Scholar 

  8. 8.

    T.S. Rathore, Design of digital to analog converters with arbitrary radix. Circuits Syst. 9, 49–57 (2018)

    Article  Google Scholar 

  9. 9.

    T.S. Rathore, Digital measurement techniques, 2nd edn. (Alpha Scientific International Ltd., Pangbourne, 2003). (Chapter 5)

    Google Scholar 

  10. 10.

    T.S. Rathore, A. Jain, A new economical 2R-3R-4R ladder digital to analog converter. J. IETE (I) 15, 289–290 (1998)

    Google Scholar 

  11. 11.

    T.S. Rathore, A. Jain, Abundance of ladder digital to analog converters. IEEE Trans. Instru. Meas. 50, 1445–1449 (1998)

    Article  Google Scholar 

  12. 12.

    T.S. Rathore, K.S. Sanila, Digital to analog converters with arbitrary radix and a single reference source. IETE J. Educ. (2018) (under review)

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Correspondence to T. S. Rathore.

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Rathore, T.S. Generalized Inverted Ladder Digital-to-Analog Converter. Circuits Syst Signal Process 38, 1374–1384 (2019).

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  • Digital-to-analog converter
  • Design of DAC
  • DAC of any radix
  • Ladder DAC
  • Inverted ladder DAC