Your guess would be wrong. The screen can be displayed on a pc monitor through a usb cable. Its called remotejoy and can be found at
File Details-RemoteJoyLite-0.19-PSP-Homebrew-Applications - . The gameplay is kinda choppy though but you cant expect full speed display output through a usb cable. You can record in-game videos too. I use my cable on my slim with my tv to play my games but I sometimes hook it up to my pc and use remotejoy to save vids of instant replays of some miracle type plays in madden and it works well for that. How can your tv not have AV inputs though thats just crazy. That would mean your tv is at least like 24 yrs old. My 52" panasonic is 17 yrs old and even that has standard av inputs and an s-video connector. I dont have an hdtv because I cant afford that shit, my tv is old as hell but at 22 yrs old I was still actually born before my tv was made. If you have any kind of alternative cable at all that you can use to connect a dvd player you can use the av inputs from that so you could use the FuSa_SD.prx plugin and play on a tv (using any cable, composite or otherwise) which works at full speed assuming you have a slim psp (not 3000).