Parameter estimation of analog circuits based on the fractional wavelet method

Yong Deng; He Zhang

doi:10.1088/1674-4926/36/3/035006

J. Semicond. > 2015, Volume 36 > Issue 3 > 035006, doi: 10.1088/1674-4926/36/3/035006

SEMICONDUCTOR INTEGRATED CIRCUITS

Parameter estimation of analog circuits based on the fractional wavelet method

Yong Deng and He Zhang

+ Author Affiliations

Corresponding author: Yong Deng, E-mail: y_den117@126.com

Abstract: Aiming at the problem of parameter estimation in analog circuits, a new approach is proposed. The approach is based on the fractional wavelet to derive the Volterra series model of the circuit under test (CUT). By the gradient search algorithm used in the Volterra model, the unknown parameters in the CUT are estimated and the Volterra model is identified. The simulations show that the parameter estimation results of the proposed method in the paper are better than those of other parameter estimation methods.

Key words: analog circuits, parameter estimation, Volterra series, fractional wavelet

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Fig. 1. The block diagram of the proposed method.

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Fig. 2. Common emitter amplifier circuit in experiment 1.

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Fig. 3. Plot for $V_{\rm T}$. Initial value of $V_{\rm T}$ is 0.018 V.

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Fig. 4. Plot for $V_{\rm T}$. Initial value of $V_{\rm T}$ is 0.012 V.

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Fig. 5. Leapfrog circuit in experiment 2.

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Fig. 6. Plot for $R_{6}$. Initial value of $R_{6}$ is 5 k$\Omega$.

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Fig. 7. Plot for $R_{6}$. Initial value of $R_{6}$ is 15 k$\Omega$.

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Table 1. SNR(dB) by the proposed method.

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Table 2. SNR(dB) by the proposed method.

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Table 3. Results of the proposed method and comparison with other methods in simulation 1.

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Table 4. SNR (dB) by the proposed method.

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Table 5. SNR (dB) by the proposed method.

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Table 6. Results of the proposed method and comparison with the other methods in simulation 2.

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Received: 18 May 2014 Revised: Online: Published: 01 March 2015

Aiming at the problem of parameter estimation in analog circuits, a new approach is proposed. The approach is based on the fractional wavelet to derive the Volterra series model of the circuit under test (CUT). By the gradient search algorithm used in the Volterra model, the unknown parameters in the CUT are estimated and the Volterra model is identified. The simulations show that the parameter estimation results of the proposed method in the paper are better than those of other parameter estimation methods.

Parameter estimation of analog circuits based on the fractional wavelet method

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