The radar height is around the same, more or less on the Burke, Atago and the Korean destroyer. The Zumwalt class also doesn't have a tower for its radars. Now I could be wrong, let's bring in the experts.
Why is the US and Japanese radars not on a giant tower? @Nihonjin1051 @SvenSvensonov
Is it in fact better.
As to the missiles, no knowledge on that.
The design of the Kolkata is akin to new generation of stealth ships. In particular a stealthy ship shape can be achieved by constructing the hull and superstructure with a series of slightly protruding and retruding surfaces. Sloped surface features are common in new stealth ships such as the Sachsen class of the German Navy, Type 45 of the Royal Navy, and the Horizon Class of the French Navy. Kolkata class has been designed , from my view, to reduce the RCS (radar cross section) , which enables it greater stealth ability.
In my view Kolkata class are designed for their lurker capabilities. I'd like to see her preform with other ships, actually.