1. In Homework 3, you were given example 2nd-order systems, and asked to make plots of the frequency response of those systems by evaluating H(2) on the unit circle (setting z e In this problem, you are asked to determine your own example to match some desired frequency characteristics. Find a 2nd, order system which meets all of the following constraints. Deseribe your design process. Provide a difference equation (with real coefficients) for your system, and provide a list of the a, a2, bo, bi, b2 coefficients. Provide a plot of the gain (in dB) of the system versus frequency. . The filter must be stable The filter must completely reject f 0.12 cycles/sample. . The filter must provides a clear frequency-response peak at approximately f 0.35 cycles/sample. The filter must have a DC gain of 1.0 (0 dB). 1. In Homework 3, you were given example 2nd-order systems, and asked to make plots of the frequency response of those systems by evaluating H(2) on the unit circle (setting z e In this problem, you are asked to determine your own example to match some desired frequency characteristics. Find a 2nd, order system which meets all of the following constraints. Deseribe your design process. Provide a difference equation (with real coefficients) for your system, and provide a list of the a, a2, bo, bi, b2 coefficients. Provide a plot of the gain (in dB) of the system versus frequency. . The filter must be stable The filter must completely reject f 0.12 cycles/sample. . The filter must provides a clear frequency-response peak at approximately f 0.35 cycles/sample. The filter must have a DC gain of 1.0 (0 dB)