Problem: Consider an LIT channel with the response F(z) = 1 + 0.4z-1 + 0.3z-2, and AWGN with 2 noise variance of 0.05. Consider transmitting IID symbols with a unit variance.
1. Design a two-tap causal ZF equalizer that enforces the equalized LTI system to have 1 and 0 as the coefficients at time 0 and 1.
2. Design the two-tap MMSE equalizer.