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If you require an implementable noise generator to test in actual hw, you can generate pseudorandom sequences by using linear feedback shift registers (LFSRs), so check that out.
What distribution would you like your noise to have? are you using it as a channel noise emulator to simulate your communication list as additive Gaussian noise? In that case, simple LFSR would not work for you.
In order to generate Gaussian pn noise (white), you can use BOX-MULLER approach. It generates a pseudo-random Gaussian distributed noise from two uniformly distributed random sequence (which you can get from 2 LFSRs).
Xilinx has an IP for it if you are interested and there are some implementation reports on IEEE.
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