In this paper a new algorithm to compute an additive synthesis model of a signal is presented. An analysis based on the Complex Continuous Wavelet Transform has been used to extract the time-varying amplitudes and phases of every component of the additive model. The mathematical relationships between the CCWT, the Hilbert Transform and complex filter banks are presented in order to obtain useful filter bank design parameters. The mathematical analysis of five different signals is presented: a pure cosine, a sum of cosines, a signal with frequency variations and two finite duration signals with Gaussian and exponential envelopes. The obtained theoretical results are finally compared with those computed with the developed algorithm.
Click to purchase paper as a non-member or login as an AES member. If your company or school subscribes to the E-Library then switch to the institutional version. If you are not an AES member and would like to subscribe to the E-Library then Join the AES!
This paper costs $33 for non-members and is free for AES members and E-Library subscribers.