Design a digital Chebyshev I filter that passes the component sin(800t) in the signal a(t) 2 sin(100+)+sin(800t) + sin(1500t). Signal Characteristics: ==== The highest frequency component in the signal is fm = 1500. The sampling frequency should be at least 3000. Let us sample at 3000 samples/sec. The corresponding sampling period is 3000 sec. Analog Filter Design: 2 So we design an analog filter with wel = 400 rad/sec and we2 = 1200 rad/sec. The corresponding digital frequencies are wel (T) = rad/sample and we2(T) = 0.4 rad/sample. For Chebyshev I, the pass-band frequencies are (1304). Plot the frequency response of the filter and verify that your designed filter has satisfied the required specifications.