Hi, I am workin on a LPC AR estimator and i need to compute each of its poles. The denominator is a complex coefficients polynom of 120 degrees one. Does anyone knows a way to find the roots of a complex coef. polynomial ? Thx to those who can help
Poles of AR estimator
Started by ●October 26, 2004
Reply by ●November 5, 20042004-11-05
Can you use Muller's Method? Richard "Arthur Herbert" <herbert.arthur@caramail.com> wrote in message news:417e4b4c$0$3812$8fcfb975@news.wanadoo.fr...> Hi, > I am workin on a LPC AR estimator and i need to compute each of its poles. > The denominator is a complex coefficients polynom of 120 degrees one. > Does anyone knows a way to find the roots of a complex coef. polynomial ? > > Thx to those who can help >
Reply by ●November 6, 20042004-11-06
Arthur Herbert <herbert.arthur@caramail.com> wrote in message news:<417e4b4c$0$3812$8fcfb975@news.wanadoo.fr>...> Hi, > I am workin on a LPC AR estimator and i need to compute each of its poles. > The denominator is a complex coefficients polynom of 120 degrees one. > Does anyone knows a way to find the roots of a complex coef. polynomial ? > > Thx to those who can helpI used Laguerre's method for complex polynomials of orders in the range 10 to 20. I don't know how well the numerics would work for polynomials of orders 100+. When I read up on those things, I saw a lot of refernces to something called the "Bulrich (spelling?) & Stoer (spelling?)" method. It seemed to be the method of choise for anybody who was seriuos about numerics, but I never found any material that showed how the method works. Rune
Reply by ●November 7, 20042004-11-07
Arthur Herbert wrote:> Hi, > I am workin on a LPC AR estimator and i need to compute each of its poles. > The denominator is a complex coefficients polynom of 120 degrees one. > Does anyone knows a way to find the roots of a complex coef. polynomial ?This might help, or might be complete overkill (they factored polynomials up to a degree of 1 000 000): http://www.dsp.rice.edu/software/fvhdp.shtml Regards, Andor