Indranilsen, Well that pretty much rules out anything that is 'anchored' to the floor. You might try mass loading but frankly I doubt that that would help much either., the floor would still transmit foot falls. Wall mounting might be your best solution if the wall is well constructed and you can find the vertical 2x4's to anchor it to. If your wall has 2x6's that's even better.
Good luck. :-)
Good luck. :-)