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An ARMA-Model-Based NTF Estimation on Continuous-Time ΔΣ Modulators
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DOI：10.1109/TCSII.2015.2415272.png)
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Abstract
En 中文
In this brief, a noise transfer function (NTF) estimation algorithm is developed for continuous-time delta-sigma modulators. Different from previous methods, the proposed estimation method features an autoregressive-and-moving-average-model-based NTF approximation and low-cost computational resource. The NTF's zeros are derived by a spectral estimation on the quantization noise under the special situation, whereas the poles are obtained by a Feintuch-LMS adaptive filter with out-of-band tone injection. The proposed method could also track imprecise compensation effects on excess loop delay and finite gain and bandwidth. The parameter number of the method is only 2N + 1 for an Nth-order modulator. The simulation result shows that the proposed estimation method fits the modulator after compensation with less than 1.7 x 10(-6)V(2) mean square error with +/- 0.6-Vpp swing in a third-order modulator.
Keywords:
Continuous time
delta-sigma (Delta Sigma) modulator
least mean squares (LMS) adaptive filter
noise transfer function (NTF)
Yule-Walker equation
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