Help With PSP Component AV Cables

Hoookay... so I am having serious issues hooking my PSP up to the TV via component cables and I was wondering if anybody can help.

To start, I have a 2000-series PSP (the silver Daxter one) and a SDTV with component imputs that claims to be progressive scan compatible.

So, I hook everything up and flip the switch but instead of a proper display I get fuzz. I can get it to work if I switch the format to interlace, but then it won't play games, which is the main reason I want to hook it up in the first place.

There are two things that I think may be the problem:
a) I don't have an HDTV, but nearly everything I've read says that shouldn't matter as long as I have the component inputs and progressive scan compatibilty. Is this true, or do I need HD?
b) The cable I'm using is a knock-off brand, and not the Sony one. Could this be making a difference?

So yeah... I've basically lost my mind at this point trying to figure this out, so any help restoring my sanity would be greatly appreciated. Am I overlooking something exceedingly simple, or is it hopeless unless I upgrade my TV and/or the cable?

 

What's the brand of the TV and what model is it?