Dear Frenz......
I want the know the importance of "" Complex-Valued Signal Processing ""....What are its Application Areas in Signal Processing, Communications, and Control Theory......
Regards,
Sanjay Kumar.
Perhaps following might help,
Paper Id : 181
Title : A Complex Ferrari LPC to LSF Implementation
Author(s) : Jatinkumar Domadiya, Amaresh P.K., Dr. Ramesh N.
Contemporary Computing and Informatics (IC3I) to be held in SJCE, Mysore,
India from 27 to 29 November 2014.
Abstract
Line spectral frequency (LSF) is used in speech compression because of the quantization propert of LPC). A faster conversion of LPC to LSF is proposed .The method is based on complex Ferrari equation and implemented in MatLab, C floating and fixed point arithmetic. This algorithm does not require any further iterations to calculate the roots as in complex free Ferrari based solutions, or intra frame ordering property or a distribution probability of the interval of roots of LSF polynomials. Proposed algorithm has been compared with GSM AMR-NB speech codec method, Cardano’s cubic solution based method and complex free Ferrari solution based methods up to 20th order. The algorithm uses decimation in degree (DID) . There is a reduction of 80% in iterations compared to traditional grid method used in AMR-NB for a polynomial of 10th order.
Cheers
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