Linear Sequence Generators: A Note on Methods for Obtaining Any Phase Shift of Linear Sequences.

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Abstract:

Three techniques for advancing the phase of a linear binary sequence are described. The first employs a simple shift register generator and its equivalent modular shift register generator. The second in a similar arrangement employs a simple-complement register generator and its equivalent modular complement register. The third technique described incorporates two idential Jacobi-hybrid generators. A form of inflexible giant stepping is also discussed. By combining in the manner described a simple complement register generator and a modular shift register generator one can advance the sequence phase in steps of an integer number of bits where the step size is a function of the generators employed. This same function can be accomplished by employing a modular complement register generator and a simple shift register generator. Examples and applications of these techniques are included.

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