Consider the signal ut 10 sin50pi t 2 sin120pi t V Design

Consider the signal u(t) = 10 sin(50pi t) + 2 sin(120pi t) V. Design a filter that attenuates the low-frequency content of u(t) by no more than I db, and attenuates the high-frequency content of u(t) by at least 20 db. Specify the filter type and cutoff frequency, and prove that your filter design satisfies the requirements.

Solution

The filter that atttenuated a low frequency component and attenuates the high frequency component is a band pass filter. Band pass filter is a combination of high pass and a low pass filter