Signal Processing and Mathematica (filters)

AI Thread Summary
The discussion focuses on calculating the bandwidth for a given filter defined by H(jw)=(3.84+5 (j w))/(5+j (1.11 w^2), specifically where |H| exceeds 1/Sqrt[2]*Hmax. Participants suggest defining the bandwidth condition clearly and using Mathematica for calculations. One user successfully determined the bandwidth by plotting |H| alongside Hmax/Sqrt[2] to identify intersection points, although this method did not yield an exact answer. The conversation highlights the importance of expressing the function in real numbers for clarity. Overall, the thread emphasizes practical approaches to solving filter bandwidth problems in Mathematica.
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Mathematica problem:

Filter:

H(jw)=(3.84+5 (j w))/(5+j (1.11 w^2))

Bandwidth where:

|H|>1/Sqrt[2]*Hmax

Calculate the bandwidht

Tips or solution would be much appriciated

Thanks
 
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Suggested starting point: define the bandwidth condition in terms of the given function, maybe in Mathematica code if that is the way you want to work this out. Spell it out - ambiguous (needs interpretation) as you present it.
 
Thank you!

Is it possible to plot the region of the bandwidth and look at the minimums?

Svensk? :)
 
You don't need to find any minima - it's a matter of finding the interval that satisfies the bandwidth definition. For that you need to express things as real numbers, which is what the suggestion about spelling things out was about.

Och, ja, jag är svensk :-)
 
Tack för svar

Jag löste det genom att plotta |H| tillsammans med Hmax/Sqrt[2] och avläsa skärningspunkterna. Blev inget exakt svar men det får duga :D
 
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