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Understanding Filter Specs

1. I have a filter specs which i need to implement. Specs are: (in inverted commas)

"When switch is pressed, the filter is included with range 10Hz-1000Hz and bandwidth of filter is 23% for broad band analysis"


2. I am using labview. I have placed a filter with below specs:
Mode: IIR filter
Order: 6
Type: bandpass
fl = 10Hz
fh=1000Hz
Topology: butterworth

3. In specs i didn't understand the bandwith thing:23%.
When already filter fl & fh are given, what is this 23%.
I think specs are misprinted.

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Bandwidth is usually specifed as the frequency difference between the -3dB points (where the output amplitude is 0.707 the input amplitude).

 

You can specify it in Hz (kHz, MHz, etc.) - for a fixed frequency filter this might make the most sense.

 

Since you have a tunable filter, the bandwidth is specified as a percentage of the center point.

 

i.e., if your center is at 1000 Hz, then your -3 dB points should be 885 Hz (-11.5 %) and 1115Hz (+11.5 %).

 

If your center moves to 2000 Hz, your -3 dB points should be 1770 Hz (-11.5 %) and 2230 Hz (+11.5 %).

 

Either way, the width of the passband is 23% of the center frequency.

Steve Bird
Culverson Software - Elegant software that is a pleasure to use.
Culverson.com


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Blog for (mostly LabVIEW) programmers: Tips And Tricks

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What did this have to do with LabVIEW?

Bill
CLD
(Mid-Level minion.)
My support system ensures that I don't look totally incompetent.
Proud to say that I've progressed beyond knowing just enough to be dangerous. I now know enough to know that I have no clue about anything at all.
Humble author of the CLAD Nugget.
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