Re: Finding max and min amplitude of composite signal

On 11/23/2009 1:07 AM, Andreas Huennebeck wrote:
commengr wrote:

Can some expert tell me the simplest method to find the max and min value
of a composite signal. For eg. if it is given as,

x(t) = sin(10*pi*t) + 2*cos(7*pi*t) + 3*sin(3*pi*t)

I can find the max and min values using Matlab, however, is there a method
to find it without using a software? Simply using a pen and paper?

-6<=limit<= +6, knowing that limits of sin(x) and cos(x) are +/-1.

bye
Andreas

I had been going to suggest that as well but the constraints on the accuracy weren't disclosed. When it was revealed that this was for sizing a quantizer the next question would then be how much headroom could be allocated to the potential error in this sort of quick estimate.

That sort of quick limit analysis would be general for any or random arguments in the functions. Even given the nature of the relative frequencies for this case it's a reasonable place to start if the constraints allow it.

--
Eric Jacobsen
Minister of Algorithms
Abineau Communications
http://www.abineau.com
.

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