Signal Processing and Mathematica (filters)

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SUMMARY

The discussion centers on calculating the bandwidth of the filter defined by H(jw)=(3.84+5 (j w))/(5+j (1.11 w^2) in Mathematica. The bandwidth condition is established as |H|>1/Sqrt[2]*Hmax. A user successfully determined the bandwidth by plotting |H| alongside Hmax/Sqrt[2] and identifying the intersection points, although this method did not yield an exact answer. The conversation emphasizes the importance of expressing the filter function in real numbers to accurately find the bandwidth interval.

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Signal processing engineers, Mathematica users, and anyone involved in filter design and analysis will benefit from this discussion.

1sprit
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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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