Comments:
Most students found Q3 and Q5 very challenging.
1. The key to solving Q3 is to understand that the probability of overload is the probability that X will fall outside the bounds of quantization. Given a pdf for X, the step size $ \Delta $ can be calculated so that the probability of X falling outside the range of quantization is 0.01.
2. Q5 is very mathematically involved. One major simplication, especially for part (c), involves the use of symmetry properties: specifically letting $ y_0=-y_2 $ and $ y_1=0 $. This greatly simiplifies the number of variables as well as the number of terms in the equation, allowing the answer to be found by setting the partial derivative (with respect to $ y_2 $) of the error equation to be 0.
Please refer to the homework solution for detailed step by step solution.
