As we saw in class, any arbitrary signal can be written as a sum of an even and an odd component of the signal, i.e. x(n) = xe(n) +xo(n) Xe(n)+xo(n) where xe(n) = [x(n) + x(−n)], and x(n) = ½[x(n) = x(-n)] a) Using the definition of even/odd signals, prove that xe(n) is indeed an even signal, and that x(n) is indeed an odd signal b) unit-step signal u(n) can be written as a sum of its even and odd components. What are they? c) Decompose the following signal into even and odd components: h(n) {1, 0, 1} ↑