Third order hold (toh) digital to analog converter and method for applying piecewise catmull-rom splines in the analog domain (toh cr)
OwnerBojidar Borissov Kounovinventor
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Abstract
The present invention introduces a DAC process or system for transferring a digital signal to a continuous analog signal using polynomials of second and higher order or Catmull-Rom splines to connect each two consecutive sample values. It includes a feedback mechanism for error correction, ensuring smooth and accurate reconstruction.
Claims15
A method for digital-to-analog signal reconstruction, comprising:
- a) calculating cubic spline coefficients in the digital domain for interpolating between discrete digital samples;
- b) using said coefficients to generate a piecewise cubic polynomial representation of the signal;
- c) ensuring C1 continuity of the reconstructed analog signal;
- d) implementing the interpolation in the analog domain using:
- i) a series of operational amplifier integrators to compute higher-order polynomial terms,
- ii) an operational amplifier summator to combine the computed terms into the final interpolated analog signal;
- and
- e) providing a feedback loop from the analog domain to the digital signal processor (DSP) to adjust the coefficients dynamically and correct errors, said corrected errors including integrated drift and DC offset errors.
A system for digital-to-analog signal conversion, comprising:
- a) a digital processor configured to calculate cubic spline coefficients;
- b) an analog reconstruction circuit comprising:
- i) a plurality of operational amplifier integrators arranged to compute polynomial terms of varying orders,
- ii) an operational amplifier summator configured to combine the polynomial terms;
- c) a feedback loop connecting the analog reconstruction circuit to the digital processor to dynamically adjust cubic spline coefficients and correct analog reconstruction errors whereby the system ensures continuity in the reconstructed analog signal's first derivative.
A generalized higher-order hold method for digital-to-analog signal reconstruction, comprising:
- a) calculating polynomial coefficients for a piecewise interpolation in the digital domain;
- b) using operational amplifiers in the analog domain to perform term-wise integration and summation for signal reconstruction;
- c) providing a feedback loop to dynamically adjust coefficients and correct for analog reconstruction errors, including integrated drift and DC offset;
- d) ensuring continuity up to the first derivative of the reconstructed analog signal.
A method according to 8, wherein the polynomial coefficients are determined for second-order holds, third-order holds, or higher-order holds to achieve smooth and accurate signal reconstruction.
Dependencies are inferred from the claim text.