1) Prove the following properties of Gaussian function:
a) Symmetry: G(x) = G(-x)
b) Product of two Gaussians is a Gaussian:
G1(x) xG2(x)= G(x)
2) a) Explain four benefit and one de-merits of utilizing the digital (rather than the analog) techniques for transmission of the voice-telephone signals.
b) State the factors that limit the theoretical maximum information rate on the channel?