I've had a lot bad luck with the Pound HDMI cable and even the HyperKin HDMI cable both losing connection during gameplay for a good 3 seconds each time on a constant basis, my solution?
This isn't my image but I own this converter without the cool digital watermark. Its not 100% perfect but it does the job very well with no connection issues at all, it even gives you the ability to switch to 4:3 aspect ratio, which I recommend. This is also usb powered so if you're playing on a computer monitor like me which requires and HDMI cable with no AV inputs, you can just plug the USB cable to your computer. If this is on a new TV without AV inputs, you would use the USB on your TV for this if it has a USB port.
I have no complaints so far and I am happy with the result personally.
Sure you can get a component cable and use a converter for that to force out the Xbox's HD capability, but I wouldn't recommend that, at least not on 1080i
So I prefer this converter much more because I get to use the AV cable as intended, all without putting any stress on the console. This converter will upscale the picture to as high as 1080p, but I prefer upscaling it to 720p, that's usually enough for me which is its lowest setting. This converter is also very hard to get since the demand is higher than the production. Do not go with the converter that does not have the 4:3 aspect ratio option, its forced at 16:9 and the quality is very bad, I made that mistake and had to hunt down the converter that you see in this image. You're better off investing in an old TV with AV ports instead if you're going to go that route.