Filterquestion

*To*: mathgroup at smc.vnet.net*Subject*: [mg47586] Filterquestion*From*: "bamse" <bamse at kyllingen.dkkkk>*Date*: Fri, 16 Apr 2004 05:21:54 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Hello I am wondering if it is possible to design a filter with the impulseresponse h(t) such that the convolution of a signal p(t)=f(t)*cos(w*t)+g(t)*sin(w*t) with h(t) is equal to f(t)*sin(w*t)+g(t)*cos(w*t)??? In other words, I am looking for a filter H(s) in the s-domain that has the following property: InverseLaplace { H(s)*P(s) } = f(t)*sin(w*t)+g(t)*cos(w*t) where P(s)=Laplace{p(t)} Some more info: f(t) is a train of half-sine pulses with the period T g(t) is also a train of half-sine pulses with the period T, but g(t) is delayed 0.5T in relation to f(t) The pulsefrequency in rad/sec = 2*pi/T is much lower than the carrier-frequency w.