Re: Help Needed With Two Simple DSP-Related Questions

From: cps (cpsmusic_at_yahoo.com)
Date: 02/21/05 

Date: 21 Feb 2005 04:43:16 -0800

Lynn Kurtz <kurtzDELETE-THIS@asu.edu> wrote in message news:<3y4ZQjKSEy3lmoU4HIQbK8=NfEy7@4ax.com>...
> On 20 Feb 2005 15:46:31 -0800, cpsmusic@yahoo.com (cps) wrote:
Hi,

Thanks for the help.

I figured it out.

Cheers,

Chris

>
> >Hi,
> >
> >Not sure if this forum is the right place for the following two
> >questions--if not, let me know a more appropriate forum.
> >
> >I'm sitting in on a Signal Processing class which mainly involves the
> >maths of Fourier analysis. My background is in music and it's a long
> >time since I've done any maths. I'm not clear about two homework
> >questions that have been given in the class.
> >
> >The first question is as follows:
> >
> >Is it true that any function x(t) can be written as the sum of an even
> >part xe(t) and an odd part xo(t)? i.e. x(t) = xe(t) + xo(t)? If so,
> >express xe(t) and xo(t) in terms of x(t).
> >
> >I assume that the first part of the question is true!
> >
> >x(t) = xe(t) + xo(t)
> >
>
> Hint: What happens if you but (- t) in the above equation?
>
> >xe(t) = x(t) - xo(t)
> >
> >I'm not sure what to do to remove the xo term in this equation.
> >
> >The second question is:
> >
> >Find, using a general Taylor series expansion, all the solutions to
> >the equation dy/dt = y.
> >
> >Does this mean that the derivative of y wrt t is y. In this case, all
> >the derivatives of y will be y. This in turn means that when the
> >Taylor series is expressed as a summation, y simply becomes a scaling
> >factor. Is that correct?
> >
>
> Of course, y is a function of t and the taylor series is expanded
> about some point a. So if you mean y(a), then, yes.
>
> --Lynn

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