Analog complex wavelet filters

Abstract— This paper presents an analog implementation of the complex wavelet transform using both the complex first order system (CFOS) and the Pad´e approximation. The complex wavelet filter design is based on the combination of the real and the imaginary state-space descriptions that implement the respective transfer functions. In other words, a complex filter is implemented by an ordinary state-space structure for the real part and an extra C matrix for the imaginary part. Several complex wavelets, such as Gabor, Gaussian and Morlet complex wavelets, are obtained and simulations demonstrate excellent approximations to the ideal wavelets.

• Type: Conference
• Year: 2005
• Where: ISCAS
• Authors: Sandro A. P. Haddad, J. M. H. Karel, Ralf L. M. Peeters, Ronald L. Westra, Wouter A. Serdijn
• Keywords: Complex Wavelet Transform, Complex Wavelets, ISCAS 2005, Several Complex Wavelets