Acceleration of the ADC Test With Sine-Wave Fit

Sine-wave fitting is usually done with least-squares minimization in the time domain. This can be slow when the number of samples is large ($10^{5} {-} 10^{6}$ or more). It is shown that the fit can be done more effectively in the frequency domain using the Fourier transform of windowed data. This paper shows that using a Blackman–Harris window, it is enough to process just a few samples around the sine peak. To obtain accurate results in analog-to-digital converter (ADC) characterization, the input signal has to meet strict conditions, namely, coherent sampling and uniform distribution of phases. It will be shown that the precision of the estimator is enough to determine if the signal meets the two aforementioned conditions, and sometimes, it provides even better results than the original time-domain least-squares estimator.

[1]  A. Cruz Serra,et al.  A new four parameter sine fitting technique , 2004 .

[2]  Kui-Fu Chen,et al.  Four-parameter sine wave fitting by Gram–Schmidt orthogonalization , 2008 .

[3]  J. Blair Histogram measurement of ADC nonlinearities using sine waves , 1994 .

[4]  F. Harris On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[5]  István Kollár,et al.  Improved determination of the best fitting sine wave in ADC testing , 2004, Proceedings of the 21st IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.04CH37510).

[6]  R. Jennrich Asymptotic Properties of Non-Linear Least Squares Estimators , 1969 .

[7]  J. Schoukens,et al.  The interpolated fast Fourier transform: a comparative study , 1991 .

[8]  István Kollár,et al.  Four-parameter fitting of sine wave testing result: iteration and convergence , 2004, Comput. Stand. Interfaces.

[9]  Peter Händel,et al.  Properties of the IEEE-STD-1057 four-parameter sine wave fit algorithm , 2000, IEEE Trans. Instrum. Meas..

[10]  A. Bos Parameter Estimation for Scientists and Engineers , 2007 .

[11]  T. M. Souders,et al.  Bounds on Least-Squares Four-Parameter Sine-Fit Errors | NIST , 1995 .

[12]  Amerigo Trotta,et al.  Fast and accurate ADC testing via an enhanced sine wave fitting algorithm , 1996 .

[13]  Sverre Holm,et al.  Optimum FFT-based frequency acquisition with application to COSPAS-SARSAT , 1993 .

[14]  Hans-Helge Albrecht,et al.  A family of cosine-sum windows for high-resolution measurements , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[15]  K. Hejn,et al.  A semi-fixed frequency method for evaluating the effective resolution of A/D converters , 1991, [1991] Conference Record. IEEE Instrumentation and Measurement Technology Conference.

[16]  Giovanni Chiorboli,et al.  ADC sinewave histogram testing with quasi-coherent sampling , 2001, IEEE Trans. Instrum. Meas..

[17]  V. Palfi,et al.  Efficient execution of ADC test with sine fitting with verification of excitation signal parameter settings , 2012, 2012 IEEE International Instrumentation and Measurement Technology Conference Proceedings.

[18]  P. Daponte IEEE standard for terminology and test methods for analog-to-digital converters , 2001 .

[19]  Yves Rolain,et al.  An identification technique for data acquisition characterization in the presence of nonlinear distortions and time base distortions , 2001, IEEE Trans. Instrum. Meas..

[20]  Hu Xiao,et al.  Sinewave fit algorithm based on total least-squares method with application to ADC effective bits measurement , 1999 .