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From: chcant on 24 Apr 2010 09:13 Hi, I'm trying to implement a modified MESA identification through a Genetic Algorithm. In particoular, during the coefficients optimization I'm not able to understand how I can solve the problem of the filter stability. I mean, how can you find the constraint that you have to put on the coefficients values during the GA in order to abtain an asymptotic stable AR model? I also tyied to optimize on the poles position in order to overcome this kind of problem but with very poor results. Do you think that a genetic algorithm couldn't be a good algorithm to optimize over the poles domain? Thanks in advance Christian
From: Vladimir Vassilevsky on 24 Apr 2010 17:32
chcant wrote: > Hi, I'm trying to implement a modified MESA identification through a > Genetic Algorithm. > In particoular, during the coefficients optimization I'm not able to > understand how I can solve the problem of the filter stability. > I mean, how can you find the constraint that you have to put on the > coefficients values during the GA in order to abtain an asymptotic stable > AR model? Don't know what is MESA identification, however the simplest way to guarantee the stability of AR model is by implementing it in the form of lattice structure. The reflection coefficients have to be in the range (-1,1). You can project (+/- infinity) to (+/- 1) using a function like arctg(x); this will also make AR model well behaved wrt parameters. > I also tyied to optimize on the poles position in order to overcome this > kind of problem but with very poor results. > Do you think that a genetic algorithm couldn't be a good algorithm to > optimize over the poles domain? Genetic algorithm is bad regardless. If you have to use genetic algorithm, that means you don't have any idea what to do. Vladimir Vassilevsky DSP and Mixed Signal Design Consultant http://www.abvolt.com |