it was located in a state court, convicted of a sex crime, trial judge signed the appeal form, no evdeince in the case and it is in the state of florida
Given the timing sequence in the Florida appellate court rules, the process is going to take likely at least 8 months from when the notice of appeal was filed, and it could easily be longer, perhaps as long as 14-18 months in some cases.
Note that if the issue that defendant is appealing is simply that he feels that the jury made the wrong decision on the evidence submitted in the trial, he'll almost certainly lose that. Appellate courts do not generally second guess the jury on its determination of the facts. Unless the state's evidence was so insufficient that no reasonable jury could reach a guilty verdict, the court won't substitute its judgement for that of the jury. Appeals are for the most part only to correct legal errors made by the judge in the trial, for example a ruling by the judge on admitting evidence or on how the judge instructed the jury. Second guessing the jury on whether the evidence was good enough isn't a legal error that the appeals court will review.