Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A binary sequence (BS) is a sequence of N bits, aj for j = 0,1,...,N – 1, i.e. m ones and N – m zeros. A PRBS is random in a sense that the value of an aj element is independent of the values of any of the other elements, similar to real random sequences. It is 'pseudo' because it is deterministic and after N elements it starts to repeat itself, unlike real random sequences, such as sequences generated by radioactive decay or by white noise. The PRBS is more general than the n-sequence, which is a special pseudo-random binary sequence of n bits generated as the output of a linear shift register. An n-sequence always has a 1/2 duty cycle and its number of elements N = 2k – 1. PRBS's are used in telecommunication, encryption, simulation, correlation technique and time-of-flight spectroscopy.

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