Low Pass Filter and Fourier Transforms

Thread starter Natalie89
Start date Feb 8, 2011
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Filter Fourier Low pass filter

AI Thread Summary

The general Fourier Transform for a low pass filter with a bandwidth of W Hz, where the cutoff frequency fc is much greater than W, can be represented as a rectangular function. This function is defined between -W and W with a height of 1, resembling rect(f/W). The transform effectively allows frequencies within the bandwidth to pass while attenuating higher frequencies. The discussion emphasizes the relationship between the cutoff frequency and the bandwidth in shaping the filter's characteristics. Understanding this representation is crucial for analyzing low pass filters in signal processing.

Feb 8, 2011

Natalie89

What is the general Fourier Transform for a low *** filter if the lowpass filter also has a bandwidth of W Hz, and fc >>W,?

I think it would this:

∂(fc) + ∂(f-fc) + ∂(f-fc)

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Feb 10, 2011

rootX

Just a rectangle between -W and W with height 1.

It is represented in form similar to rect (f/W)

Feb 11, 2011

Natalie89

Thank you so much!

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