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)}

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.

```

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