An analog signal is sampled using an A/D convertor and represented using only integer values. The original signal is represented by g(t) and the digital signal by h(t) sampled at t ∈ {2, 3, 4, 5, 6, 7, 8, 9, 10}. The definitions of g and h are as below
g(t) = { t - 2.25 t < 5; 6.8 - t t ≥ 5
h : 2 ↦ 0 h : 3 ↦ 1 h : 4 ↦ 2
h : 5 ↦ 2 h : 6 ↦ 1 h : 7 ↦ 0
h : 8 ↦ -1 h : 9 ↦ -2 h : 10 ↦ -3
If e(t) is the error function (called quantization error), defined at the sample points, find e(t) and represent it on a graph.