mitsubishi 55 inch. vs-55609 has picture issues that are resolved by turning on the vcr.

I have a mitsubishi 55 inch. vs-55609 rear projection tv and it has started to have issues.  When I first turn on the tv there is either a black screen or a screen with snow and you can hear the noise from the speakers.  However, if I turn the vcr on and use the tv's remote to switch the tv input to the vcr input then the picture comes in with no problems.  If I switch the tv input back to antenna a then same thing.  If I wait long enough then the picture will come back and the tv will run with no issues (most of the time) until I turn it off and go to turn it on the next time.  I can play a movie on the dvd/vcr player with no issues.  I have replaced all cables and disconnect the vcr and same thing.  It is not the cable feed as this is on a splitter box and the other tv is fine.  I eliminated the other tv from the splitter and same thing.  I can't understand why turning on the vcr and changing to that input solves the issue.  I don't want to have to do this every time I want to watch television and I want to know that my Mitsubishi is functioning correctly.  Please let me know what you think of this issue.