Transcription of Linear Feedback Shift Registers (LFSRs)
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Linear Feedback Shift Registers (LFSRs)
C. Stroud, Dept. of ECE, Auburn Univ. 10/04 Linear Feedback Shift Registers (LFSRs) Efficient design for Test Pattern Generators & Output Response Analyzers (also used in CRC) FFs plus a few XOR gates better than counter fewer gates higher clock frequency Two types of LFSRs External Feedback Internal Feedback higher clock frequency Characteristic polynomial defined by XOR positions P(x) = x4 + x3 + x + 1 in both examplesD QCKD QCKD QCKD QCKE xternal Feedback LFSRD QCKD QCKD QCKD QCKI nternal Feedback LFSRC.
• The characteristic polynomial of an LFSR generating a maximum-length sequence is a primitive polynomial • A maximum-length sequence is pseudo-random: – number of 1s = number of 0s + 1 – same number of runs of consectuive 0s and 1s – 1/2 of …
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