Uniform quantizer example N=4,X~N(O,1)f(x)= 2兀o ° From table62,△=0。957,D=0.1188,H(Q=1.904 Notice that H(Q)=the entropy of the quantized source is 2 Two bits can be used to represent 4 quantization levels Soon we will learn that you only need H(Q) bits -3△2 q2=△293=△2N q4=3△2 R1 R2R Eytan Modiano∆ f x Uniform quantizer example • N=4, X~N(0,1) x () = 2πσ 1 e− x 2 / 2σ2 , σ2 = 1 • From table 6.2, ∆=0.9957, D=0.1188, H(Q)= 1.904 – Notice that H(Q) = the entropy of the quantized source is < 2 – Two bits can be used to represent 4∆quantization levels – Soon we will learn that you only need H(Q) bits − ∆ ∆ R1 R2 R3 R4 q1 = -3∆/2 q4 q = 3∆/2 2 =∆/2 q3 =∆/2 Eytan Modiano Slide 8