Name
Title | ||
|---|---|---|
Noise-shaping gradient descent-based online adaptation algorithms for digital calibration of analog circuits. |
Abstract | ||
|---|---|---|
Analog circuits that are calibrated using digital-to-analog converters (DACs) use a digital signal processor-based algorithm for real-time adaptation and programming of system parameters. In this paper, we first show that this conventional framework for adaptation yields suboptimal calibration properties because of artifacts introduced by quantization noise. We then propose a novel online stochastic optimization algorithm called noise-shaping or ΣΔ gradient descent, which can shape the quantization noise out of the frequency regions spanning the parameter adaptation trajectories. As a result, the proposed algorithms demonstrate superior parameter search properties compared to floating-point gradient methods and better convergence properties than conventional quantized gradient-methods. In the second part of this paper, we apply the ΣΔ gradient descent algorithm to two examples of real-time digital calibration: 1) balancing and tracking of bias currents, and 2) frequency calibration of a band-pass Gm-C biquad filter biased in weak inversion. For each of these examples, the circuits have been prototyped in a 0.5-μm complementary metal-oxide-semiconductor process, and we demonstrate that the proposed algorithm is able to find the optimal solution even in the presence of spurious local minima, which are introduced by the nonlinear and non-monotonic response of calibration DACs. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/TNNLS.2012.2236572 | IEEE Trans. Neural Netw. Learning Syst. |
Keywords | Field | DocType |
CMOS analogue integrated circuits,CMOS digital integrated circuits,calibration,digital signal processing chips,digital-analogue conversion,gradient methods,sigma-delta modulation,stochastic programming,ΣΔ gradient descent algorithm,0.5- μm complementary metal-oxide-semiconductor process,DAC,analog circuits,calibration DAC nonlinear response,calibration DAC nonmonotonic response,digital signal processor-based algorithm,digital-to-analog converters,frequency regions,noise-shaping gradient descent-based online adaptation algorithms,online stochastic optimization algorithm,parameter adaptation trajectories,parameter search properties,quantization noise,real-time digital calibration,suboptimal calibration properties,system parameter real-time adaptation,system parameter real-time programming,Analog very-large-scale integration,digitally assisted analog circuits,noise-shaping,online learning,quantization,sigma-delta learning,stochastic optimization | Online algorithm,Gradient descent,Stochastic optimization,Digital biquad filter,Analogue electronics,Computer science,Control theory,Digital signal processor,Algorithm,Noise shaping,Quantization (signal processing) | Journal |
Volume | Issue | ISSN |
24 | 4 | 2162-2388 |
Citations | PageRank | References |
1 | 0.36 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shantanu Chakrabartty | 1 | 335 | 64.30 |
| Ravi Krishna Shaga | 2 | 2 | 1.18 |
| Kenji Aono | 3 | 15 | 6.75 |