1-Shift PRBS

Hello,

I have reading a lot of posts that they are talking about shift registers, but always they are refered to a fix data, not to PRBS. What I would like to get is from a PRBS generator (can be the qsys block or created in quartus), delay one bit the PRBS sequence and after that add the two sequences (PRBS + PRBS shifted). As an example, if the original sequence is 1010, I would shift one bit right: 0101 and finally I would sum both sequences (1010 + 0101). Is it possible to do this for a PRBS code?

I have though in some options, but I don't know if they will work or if there is a faster option:

1. Store the original PRBS in a RAM and then work from there.
2. Connect the PRBS generator to a shift register (Megawizard).

Any help will be appreciate it.

Thanks!!!