I have some questions and doubts to which the answers are difficult to extract from text books. Hence I have posted this question here. Help would be extremely beneficial. Thank you.
(1) The normalized ACF of white noise is similar to delta impulse function. What is the purpose and benefit of this spike nature in signal processing and statistics?
(2) If the length of the spike for white noise is higher in comaprison to the length of the spike for a random process then is there a significance and what soes this convey? Does the length of the spike have a special name and a role in applications to signal processing?
(3) A delta function is not a random process. Then why is the ACF of white noise, which is closer to the delta function preferred?