Improving Digital-to-Analog Converter Linearity by Large High-Frequency Dithering

A new method for reducing harmonic distortion due to element mismatch in digital-to-analog converters is described. This is achieved by using a large high-frequency periodic dither. The reduction in nonlinearity is due to the smoothing effect this dither has on the nonlinearity, which is only dependent on the amplitude distribution function of the dither. Since the high-frequency dither is unwanted in the output of the digital-to-analog converter, the dither is removed by an output filter. The fundamental frequency component of the dither is attenuated by a passive notch filter and the remaining fundamental component and harmonic components are attenuated by the low-pass reconstruction filter. Two methods that further improve performance are also presented. By reproducing the dither on a second channel and subtracting it using a differential amplifier, additional dither attenuation is achieved; and by averaging several channels, the noise-floor of the output is improved. Experimental results demonstrate more than 10 dB improvement in the signal-to-noise-and-distortion ratio.

[1]  David L. Neuhoff,et al.  Quantization , 2022, IEEE Trans. Inf. Theory.

[2]  Congyin Shi,et al.  150–850 MHz High-Linearity Sine-wave Synthesizer Architecture Based on FIR Filter Approach and SFDR Optimization , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Kenji Sawada,et al.  Low-distortion signal generation for ADC testing , 2014, 2014 International Test Conference.

[4]  Andrew J. Fleming,et al.  Design, Modeling and Control of Nanopositioning Systems , 2014 .

[5]  Degang Chen,et al.  Low-Distortion Sine Wave Generation Using a Novel Harmonic Cancellation Technique , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  S O R Moheimani,et al.  Invited review article: high-speed flexure-guided nanopositioning: mechanical design and control issues. , 2012, The Review of scientific instruments.

[7]  Alex Simpkins,et al.  System Identification: Theory for the User, 2nd Edition (Ljung, L.; 1999) [On the Shelf] , 2012, IEEE Robotics & Automation Magazine.

[8]  Kiichi Niitsu,et al.  Low-Distortion Sinewave Generation Method Using Arbitrary Waveform Generator , 2012, J. Electron. Test..

[9]  Johan Schoukens,et al.  Spectral analysis of block structured nonlinear systems and higher order sinusoidal input describing functions , 2011, Autom..

[10]  Mounir Fares,et al.  Digital Approaches to ISI-Mitigation in High-Resolution Oversampled Multi-Level D/A Converters , 2011, IEEE Journal of Solid-State Circuits.

[11]  Ian Galton,et al.  Why Dynamic-Element-Matching DACs Work , 2010, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Stephen A. Billings,et al.  Analysis of Output Frequencies of Nonlinear Systems , 2007, IEEE Transactions on Signal Processing.

[13]  Sergio Rapuano,et al.  Defining DAC performance in the frequency domain , 2007 .

[14]  Matthias Frey,et al.  On the Static Resolution of Digitally Corrected Analog-to-Digital and Digital-to-Analog Converters With Low-Precision Components , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  Karl Henrik Johansson,et al.  Averaging of nonsmooth systems using dither , 2006, Autom..

[16]  J. Barbolla,et al.  Nonlinearity correction for multibit /spl Delta//spl Sigma/ DACs , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[17]  Gabor C. Temes,et al.  Understanding Delta-Sigma Data Converters , 2004 .

[18]  John Vanderkooy,et al.  A theory of nonsubtractive dither , 2000, IEEE Trans. Signal Process..

[19]  Robert H. Walden,et al.  Analog-to-digital converter survey and analysis , 1999, IEEE J. Sel. Areas Commun..

[20]  Michael Faulkner,et al.  An Efficient Implementation OF Bandlimited Dithering , 1998, Wirel. Pers. Commun..

[21]  B. Widrow,et al.  Statistical theory of quantization , 1996 .

[22]  I. Galton,et al.  A rigorous error analysis of D/A conversion with dynamic element matching , 1995 .

[23]  M. F. Wagdy,et al.  Effect of additive dither on the resolution of ADCs with single-bit or multi-bit errors , 1995, Proceedings of 1995 IEEE Instrumentation and Measurement Technology Conference - IMTC '95.

[24]  R. A. Belcher,et al.  The use of multi tone dither in high speed A/D conversion , 1994 .

[25]  Dario Petri,et al.  Effect of additive dither on the resolution of ideal quantizers , 1994 .

[26]  M. Wagdy,et al.  Linearizing average transfer characteristics of ideal ADC's via analog and digital dither , 1994 .

[27]  Michael J. Flanagan,et al.  Spur-reduced digital sinusoid synthesis , 1993, IEEE Trans. Commun..

[28]  C. Narduzzi,et al.  Dither signal effects on the resolution of nonlinear quantizers , 1993, 1993 IEEE Instrumentation and Measurement Technology Conference.

[29]  Manfred Bartz,et al.  Large-scale dithering enhances ADC dynamic range , 1993 .

[30]  John Vanderkooy,et al.  Quantization and Dither: A Theoretical Survey , 1992 .

[31]  Gabor C. Temes,et al.  Digitally corrected multi-bit Sigma Delta data converters , 1989, IEEE International Symposium on Circuits and Systems,.

[32]  W. Groeneveld,et al.  A self calibration technique for monolithic high-resolution D/A converters , 1989, IEEE International Solid-State Circuits Conference, 1989 ISSCC. Digest of Technical Papers.

[33]  Barry A. Blesser,et al.  The Application of Narrow-Band Dither Operating at the Nyquist Frequency in Digital Systems to Provide Improved Signal-to-Noise Ratio over Conventional Dithering , 1987 .

[34]  I. De Lotto,et al.  Dithering improves A/D converter linearity , 1986, IEEE Transactions on Instrumentation and Measurement.

[35]  Nelson M. Blachman,et al.  The intermodulation and distortion due to quantization of sinusoids , 1985, IEEE Trans. Acoust. Speech Signal Process..

[36]  John Vanderkooy,et al.  Correction to "Resolution Below the Least Significant Bit in Digital Systems with Dither" , 1984 .

[37]  S. Mossaheb.  Application of a method of averaging to the study of dithers in non-linear systems , 1983 .

[38]  L.R. Rabiner,et al.  Interpolation and decimation of digital signals—A tutorial review , 1981, Proceedings of the IEEE.

[39]  Paul Horowitz,et al.  The Art of Electronics , 1980 .

[40]  R. Schafer,et al.  On the use of the I 0 -sinh window for spectrum analysis , 1980 .

[41]  A. Sripad,et al.  A necessary and sufficient condition for quantization errors to be uniform and white , 1977 .

[42]  Rudy J. van de Plassche,et al.  Dynamic element matching for high-accuracy monolithic D/A converters , 1976 .

[43]  W. B. Cleveland.  First-Order-hold interpolation digital-to-analog converter with application to aircraft simulation , 1976 .

[44]  G. Zames,et al.  Dither in nonlinear systems , 1976 .

[45]  J. J. Bussgang,et al.  Analysis of nonlinear systems with multiple inputs , 1974 .

[46]  Y. Ogushi,et al.  [Analog-digital conversion]. , 1973, Kokyu to junkan. Respiration & circulation.

[47]  K. A. Simons.  The decibel relationships between amplifier distortion products , 1970 .

[48]  R.H.S. Riordan,et al.  Simulated inductors using differential amplifiers , 1967 .

[49]  L. Schuchman.  Dither Signals and Their Effect on Quantization Noise , 1964 .

[50]  R. Oldenburger,et al.  Effects of Extra Sinusoidal Inputs to Nonlinear Systems , 1962 .

[51]  H. Hall.  RC Networks with Single-Component Frequency Control , 1955 .

[52]  R. Sallen,et al.  A practical method of designing RC active filters , 1955, IRE Transactions on Circuit Theory.

[53]  W. R. Bennett,et al.  Spectra of quantized signals , 1948, Bell Syst. Tech. J..

[54]  Gildas Leger,et al.  On-chip sinusoidal signal generation with harmonic cancelation for analog and mixed-signal BIST applications , 2015 .

[55]  John S. Farnbach.  A High -Resolu tion, Low -Frequency Spectrum Analyzer , 2006 .

[56]  John N. Tsitsiklis,et al.  Introduction to Probability , 2002 .

[57]  Venceslav F. Kroupa,et al.  An Analysis Methodology to Identify Dominant Noise Sources in D/A and A/D Converters , 1999 .

[58]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[59]  De Barra.  Introduction to Measure Theory , 1974 .