Title :
A complex Ferrari LPC to LSF implementation
Author :
Domadiya, Jatin V. ; Kandagal, Amaresh P. ; Ramesh, Nisha
Author_Institution :
Aerosp. Dept., IISc, Bangalore, India
Abstract :
The line spectral frequency (LSF) is used in speech compression because of their quantization property, which is computed using linear prediction conversion (LPC). Paper describes the faster conversion of LPC to LSF method and its implementation. Proposed 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 to 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.
Keywords :
C language; fixed point arithmetic; polynomials; spectral analysis; speech codecs; speech coding; C floating; Cardano cubic solution based method; DID; Ferrari equation; GSM AMR-NB speech codec method; LPC; LSF implementation; LSF polynomial; MatLab; complex Ferrari; complex free Ferrari based solution; complex free Ferrari solution based method; decimation in degree; distribution probability; fixed point arithmetic; grid method; intra frame ordering property; line spectral frequency; linear prediction conversion; quantization property; speech compression; Chebyshev approximation; MATLAB; Mathematical model; Polynomials; Prediction algorithms; Speech; Ferrari formula; Numerical Secant Method; fix point arithmetic; line spectral frequencies; linear prediction coefficient;
Conference_Titel :
Contemporary Computing and Informatics (IC3I), 2014 International Conference on
Conference_Location :
Mysore
DOI :
10.1109/IC3I.2014.7019633