Assignment 1 Define (and clearly state) a suitable set of specifications for the design of a low pass filter; obtain an approximate mathematical representation of the gain (or attenuation) that will meet your specifications, and obtain an LC realisation of the desired filter using: The Butterworth approximation - Groups 1, 2, 3, and 4 The Chebyshev approximation - Groups 5, 6, 7 and 8 Assignment 2 Using your design for a low pass filter as a base, design a filter with clearly stated specifications (defined by you) as follows: Band-stop filter - Groups 1, 2, 5 and 6 Band-pass filter - Groups 3, 4, 7 and 8 Assignment 3 Transform your design to an active inductor-less filter; use a Spice (or any other) simulation to verify that your circuit performs as desired. - Groups 1, 3, 5 and 7 Staring with your design, use a genetic algorithm to obtain a more economical design; use a Spice (or any other) simulation to verify that your circuit performs as desired. - Groups 2, 6, 4 and 8.