- In this paper, we propose an auto-companding technique for the analog behavioral modeling via wavelet collocation method. The companding function is automatically constructed according to the singularities of the input-output function of the circuit block. Such a general-purpose technique can be applied for the automatic modeling of arbitrary building block of arbitrary input-output function. Moreover, compared with the published modeling approaches, this method works more efficiently in reducing both the modeling error and the number of basis functions in wavelet expansion.