The world’s Largest Sharp Brain Virtual Experts Marketplace Just a click Away
Levels Tought:
Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago, 4 Days Ago |
| Questions Answered: | 66690 |
| Tutorials Posted: | 66688 |
MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A simple way to reduce noise is to perform what is called a moving average on a signal. Mathematically, the moving average operation can be written as
![]()
where Xk are samples of the signal assumed to be IID random variables with mean 2 and variance 3.
(a) Find the mean and the variance of Yn for L = 12.
(b) Based on the Central Limit Theorem, write an expression for the PDF of Y .
(c) How large does L have to be for the variance of Y to be less than 0.1?
(d) For the value of L obtained in (c), what is Pr[|Y − my | > 0.1]?
Hel-----------lo -----------Sir-----------/Ma-----------dam-----------Tha-----------nk -----------You----------- fo-----------r u-----------sin-----------g o-----------ur -----------web-----------sit-----------e a-----------nd -----------and----------- ac-----------qui-----------sit-----------ion----------- of----------- my----------- po-----------ste-----------d s-----------olu-----------tio-----------n.P-----------lea-----------se -----------pin-----------g m-----------e o-----------n c-----------hat----------- I -----------am -----------onl-----------ine----------- or----------- in-----------box----------- me----------- a -----------mes-----------sag-----------e I----------- wi-----------ll