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Low pass filter can perform average function?

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OMEsystem

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low pass filter average compare

Why the LPF can perform averaging?
How to analyze this in signal and system aspect?

Thanks,
 

lpf average

hello,
average of the signal is its DC, since it is LPF it passes DC and other Low frequency components and blocks the high ones (i.e.makes average).
u can just make simple LPF with a cap. and resistor and find the transfer function , then just get the limits at extreme frequencies.
 

The time constant of LPF is the average time?
 

if LPF performs averaging means than what is duty of high pass filter ..i mean what kind of signal processing it can do.....

Added after 1 minutes:

similarly, what kind of signal processing does band pass filter and band reject filter can do
 

Maybe, you can think about it.
In Fourier analysis, the dc component of a periodic waveform is equal to its average value.
You can use a LPF to pass the dc term of a signal and reject its higher terms.
A low pass filter can the dc term means that it can get the average value of signal.
 

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