This paper describes the architecture of a divide-by-
N prescaler and a divide-by-
N/
N+1 dual-modulus prescaler based on a shift register and a multi-input NOR gate. The divide-by-
N prescaler has a circuit style similar to a linear feedback shift register (LFSR), except for the fact that a multi-input NOR gate is used instead of XOR gates. This architecture can be applied to various division ratios of
N ≥ 2 by changing the numbers of flip-flops and NOR-gate inputs according to specific rules, which will be explained in this paper. The state of the prescaler runs through the correct loop without requiring a reset signal or an initialization circuit.
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