Why Might a Low-Pass Filter Cause Distortion in a 600Hz Waveform?

AI Thread Summary
A low-pass filter with a passband of 3.5kHz can still introduce distortion to a 600Hz waveform, despite the frequency being well below the cutoff. Distortion may arise from the waveform's shape, as non-sinusoidal signals can experience changes in amplitude and phase when filtered. The transfer function of the filter and the specific characteristics of the input waveform play crucial roles in determining the output. Understanding the types of distortion, such as harmonic distortion or phase shift, is essential for accurate analysis. Therefore, even with a suitable passband, distortion can occur based on the waveform's nature and the filter's response.
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Homework Statement



We have a waveform with peak to peak amplitude 2V and a frequency of 600Hz. If this signal is to pass through a low-pass filter with a passband of 3.5kHz, explain why some distortion may occur to the waveform when shown on an oscilloscope.


The Attempt at a Solution



I thought there would be no distortion because the wave frequency is well below the passband of 3.5kHz.
Can someone please give me some ideas as to why some distortion may occur. Or at least point me in the right direction.
Thanks kindly for any help.
 
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fran1942 said:

Homework Statement



We have a waveform with peak to peak amplitude 2V and a frequency of 600Hz. If this signal is to pass through a low-pass filter with a passband of 3.5kHz, explain why some distortion may occur to the waveform when shown on an oscilloscope.


The Attempt at a Solution



I thought there would be no distortion because the wave frequency is well below the passband of 3.5kHz.
Can someone please give me some ideas as to why some distortion may occur. Or at least point me in the right direction.
Thanks kindly for any help.
What parameters are used to express sinusoid?
 
amplitude, angular frequency and phase ?

Sorry, I am pretty dense !
I still don't see how some distortion would occur in the case I stated.

Thanks for your persistence.
 
fran1942 said:
amplitude, angular frequency and phase ?

Sorry, I am pretty dense !
I still don't see how some distortion would occur in the case I stated.

Thanks for your persistence.

Can you write the transfer function for a low pass filter with a suitable cutoff frequency?
For a 600Hz input, what's the output amplitude and phase?
 
fran1942 said:
We have a waveform with peak to peak amplitude 2V and a frequency of 600Hz.
Are you meant to interpret this to be a sinewave?
If this signal is to pass through a low-pass filter with a passband of 3.5kHz, explain why some distortion may occur to the waveform when shown on an oscilloscope.
You might need to expand your notion of "distortion" to be able to answer this question.
I thought there would be no distortion because the wave frequency is well below the passband of 3.5kHz.
What forms of "distortion" did you consider here?
 
fran1942 said:

Homework Statement



We have a waveform with peak to peak amplitude 2V and a frequency of 600Hz. If this signal is to pass through a low-pass filter with a passband of 3.5kHz, explain why some distortion may occur to the waveform when shown on an oscilloscope.


The Attempt at a Solution



I thought there would be no distortion because the wave frequency is well below the passband of 3.5kHz.
Can someone please give me some ideas as to why some distortion may occur. Or at least point me in the right direction.
Thanks kindly for any help.

Hint: what is the shape of your voltage? Does it look like a sine wave, triangular, spiky, square ... ?
 
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