tude of a cosine can be observed at the origin (t=0) when there is no phase shift. Find a simplified solution for the convolution integral below for t=0. +∞ output(t) = h(t)∗ s(t) = −∞ 3 rect(3x) cos(2π f0 (t − x)) dx Hint: Set t=0, sketch the situation to help set up the integral and remember the properties of odd and even functions to simply the calculation. g. The above result gives a general expression for the output cosine amplitude as a function of f0

Expand your table to include several more input frequencies between 0 and 10 Hz until you can determine with confidence the behavior of this linear system as a function of input frequency. Use the result from above to check your answers with the computed amplitude at frequency f0. Use MATLAB to pl