What is the Illinois Statue Of Limitation for Telephone Harassement for Misdeameanor charge and for a felony charge for telephone harassement

There's no way to give a straight forward answer without knowing the facts because there are exceptions to the rule. For example, what if the Telephone Harassment was related to fraud?  Then there is an extended statute of limitations period.  What if it was a continuing course of conduct?    The GENERAL rule is that a misdemeanor must be charged within 18 months, and a felony must be charged within 3 years.  720 ILCS 5/3-6.  That does not mean the case must be resolved within 18 months, merely proceedings must have begun.