Pseudorandom binary sequence

A pseudorandom binary sequence (PRBS) is a binary sequence that, while generated with a deterministic algorithm, is difficult to predict and exhibits statistical behavior similar to a truly-random sequence. PRBS are used in telecommunication, encryption, simulation, correlation technique and time-of-flight spectroscopy.

A binary sequence (BS) is a sequence ${\displaystyle a_{0},\ldots ,a_{N-1}}$ of ${\displaystyle N}$ bits, i.e.

A BS consists of ${\displaystyle m=\sum a_{j}}$ ones and ${\displaystyle N-m}$ zeros.

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