Hdmi 1.3 or 1.4

There's only normal and highspeed cables. The numbers are the devices like 1.4 devices support 3d. What exact problems do you have

The problem isn't the HDMI cable.

As Colm said, not the HDMI cable. Try your owners manual and look at the different refresh rates. Try 120Hz and 240Hz and then 60Hz. Also check your contrast and brightness controls. One of those will solve your problem.

And, of course, despite the manufacturer's advertisements you don't actually have an LED TV. You have an LCD TV with LED backlights.

We don't use Samsung but I believe that is correct. Basically what you are seeing are motion artifacts created on the display. It really has nothing to do with the input signal. It isn't unusual on an LCD TV - Google "LCD motion artifacts Samsung" (no quotes) and I'll bet you get a few hits.

Calibration discs will usually go through contrast, brightness and color (either needing a colorimeter or filters). Some will go deeper. Keep in mind it takes some practice to get those settings right (even though you think at first the results are perfect).

Looks at the AVSForum under your TV's model number. There is usually an "official owners" thread for each model. Usually if I hit a problem, someone else already has.

It could be that the panel pixels are slow enough that you can only reduce the motion blur. Unfortunately some panel technology is like that. The other owners would likely know if that is true with your panel.

Motion interpolation, especially when playing games, can be a problem because of the artificial frames added to smooth out the motion. Turning it off doesn't completely eliminate that on most tv's because 120Hz and 240Hz are just multiples of 60Hz. A 120Hz set shows each 60Hz frame twice to "mimic" 120fps. Some sets just implement that better than others.

A calibration disk will help you to properly set the basics (brightness, contrast, sharpness, aspect) and is definitely recommended. It won't calibrate your set because you need meters and software for that but it will certainly improve your viewing experience. Use of a bias light is also a good idea. There are lots of disks available, WoW, DVE, Spears and Munsil, etc but a lot of people, myself included, have had good results using the free AVS HD709. There is a learning curve, and depending on what setting options are available to you on your set, you should get very good results.