Problem 2 - (25 points.) A quantizer maps a random voltage X into a digital value q(X ) from a set of representation values as shown in the figure below. We define the quantization error Y as the difference between X and its quantized value, i.e., Y = X - Q(X). Set d = 1 and assume that X has a uniform distribution over [-4, 4]. Find the distribution of Y. 7d Ad 2 5d 3d N 3d 2d d -4d -3d -2d -d q(x) 0 L X 3d d -d 2 0 d 2d 3d 4d 5d 2 -2d 2 7d -3d 2 -4d