Frequency and Impulse Response of Linear Filters

This Demonstration shows the relationship between the impulse response and the frequency response for ideal lowpass, bandpass, and highpass filters.


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Snapshot 1: lowpass filter, with the cutoff frequency
Snapshot 2: highpass filter, with the cutoff frequency
Snapshot 3: bandpass filter, centered at frequency and with width
For the lowpass and highpass filters, you specify the cutoff frequency ; for the bandpass filter, you specify the frequency that the passband is centered about and the width of the passband . Changing for the lowpass or highpass filters has no effect on the system, so the slider is disabled in those cases.
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