Matched LPF (without reflections)

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The discussion centers on the importance of a matched low-pass filter (LPF) with specific input impedance characteristics at high frequencies. It highlights that while impedance matching typically maximizes power transfer, at high frequencies, the filter's impedance approaches zero, leading to reflections of unwanted high-frequency energy back to the signal source. Participants emphasize the need for a series resistor to set the output impedance of the generator, which helps absorb these reflected frequencies. The input capacitor's placement and the absence of resistors in the circuit are also questioned, as they contribute to the potential for high-frequency reflections. Ultimately, the key takeaway is that the filter's design must prevent unwanted high frequencies from reaching the output by reflecting them back to the generator.
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Hey,
I analyzed the circuit (matched LPF without reflections) hereby attached and produced a simulation of its impedance(freq.). I am now asked to explain why it is important to use a filter with such input impedance at high frequencies. If the filter's impedance at high frequencies were, say, 50ohms I could probably answer - "impedance matching! Thus benefiting from maximum power transfer etc.", but since at high frequencies the impedance approaches 0 I am not quite sure what the answer in this case should be. I'd appreciate some insight, please.
 

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peripatein said:
Hey,
I analyzed the circuit (matched LPF without reflections) hereby attached and produced a simulation of its impedance(freq.). I am now asked to explain why it is important to use a filter with such input impedance at high frequencies. If the filter's impedance at high frequencies were, say, 50ohms I could probably answer - "impedance matching! Thus benefiting from maximum power transfer etc.", but since at high frequencies the impedance approaches 0 I am not quite sure what the answer in this case should be. I'd appreciate some insight, please.

What is the purpose of the input capacitor? It looks misplaced. Does that AC voltage source to the left have a built-in output resistance/impedance?
 
The circuit has no resistance apart from the load, so high frequency energy must be reflected back into the signal source. The LPF is matched over it's pass-band. At high frequencies the input impedance mismatch will reflect unwanted high frequency energy back towards the generator where it will be absorbed in the output resistance.

I can't see the detail in your image but; you appear to model the signal source as a low impedance voltage. You need to add a series resistor to set the output impedance of the generator. That will match the HF portion of the spectrum and absorb the reflected spectral components.
 
I did not design this circuit. It was given to me as is by the instructor. I was asked to analyze its impedance wrt frequency and then explain the importance of using a filter with such input impedance at high frequencies. Now what is in fact the importance at high frequencies?
 
peripatein said:
Now what is in fact the importance at high frequencies?
It is to reflect the unwanted high frequencies back to the generator. You don't want them at the output and there are no resistors to dissipate them, where else can they go ?
 
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