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Linear Feedback Shift Register (LFSR) Demo: Pseudo-Random Bit Generation

This demo showcases the operation of a Linear Feedback Shift Register (LFSR) as a tool for generating pseudo-random bits. It explores the mechanisms involved in LFSR, including the initial seed and various time states. The LFSR operations are demonstrated through a series of states revealing how it shifts and produces outputs based on feedback, portrayed in a structured format with time measurements. Additionally, the XOR truth table illustrates the fundamental logic behind signal processing in LFSR systems. Ideal for educational purposes in digital signal processing and cryptography.

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Linear Feedback Shift Register (LFSR) Demo: Pseudo-Random Bit Generation

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  1. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 "seed" = initial contents

  2. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 Time 1

  3. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 Time 1

  4. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 ^ 1 1 0 1 0 0 0 0 1 0 Time 1 XOR Truth Table x y x ^ y 0 0 0 0 1 1 1 0 1 1 1 0

  5. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 ^ 1 1 0 1 0 0 0 0 1 0 1 Time 1 XOR Truth Table x y x ^ y 0 0 0 0 1 1 1 0 1 1 1 0

  6. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 1 Time 1 1 0 1 0 0 0 0 1 0 1 1 Time 2 XOR Truth Table x y x ^ y 0 0 0 0 1 1 1 0 1 1 1 0

  7. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 1 Time 1 1 0 1 0 0 0 0 1 0 1 1 Time 2 0 1 0 0 0 0 1 0 1 1 0 Time 3 XOR Truth Table x y x ^ y 0 0 0 0 1 1 1 0 1 1 1 0

  8. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 1 Time 1 1 0 1 0 0 0 0 1 0 1 1 Time 2 0 1 0 0 0 0 1 0 1 1 0 Time 3 1 0 0 0 0 1 0 1 1 0 0 Time 4 XOR Truth Table x y x ^ y 0 0 0 0 1 1 1 0 1 1 1 0

  9. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 1 Time 1 1 0 1 0 0 0 0 1 0 1 1 Time 2 0 1 0 0 0 0 1 0 1 1 0 Time 3 1 0 0 0 0 1 0 1 1 0 0 Time 4 0 0 0 0 1 0 1 1 0 0 1 Time 5

  10. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 1 Time 1 1 0 1 0 0 0 0 1 0 1 1 Time 2 0 1 0 0 0 0 1 0 1 1 0 Time 3 1 0 0 0 0 1 0 1 1 0 0 Time 4 0 0 0 0 1 0 1 1 0 0 1 Time 5 0 0 0 1 0 1 1 0 0 1 0 Time 6

  11. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 1 Time 1 1 0 1 0 0 0 0 1 0 1 1 Time 2 0 1 0 0 0 0 1 0 1 1 0 Time 3 1 0 0 0 0 1 0 1 1 0 0 Time 4 0 0 0 0 1 0 1 1 0 0 1 Time 5 0 0 0 1 0 1 1 0 0 1 0 Time 6 0 0 1 0 1 1 0 0 1 0 0 Time 7

  12. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 1 Time 1 1 0 1 0 0 0 0 1 0 1 1 Time 2 0 1 0 0 0 0 1 0 1 1 0 Time 3 1 0 0 0 0 1 0 1 1 0 0 Time 4 0 0 0 0 1 0 1 1 0 0 1 Time 5 0 0 0 1 0 1 1 0 0 1 0 Time 6 0 0 1 0 1 1 0 0 1 0 0 Time 7 0 1 0 1 1 0 0 1 0 0 1 Time 8

  13. Linear Feedback Shift Register Demo 0 1 1 0 1 0 0 0 0 1 0 Time 0 1 1 0 1 0 0 0 0 1 0 1 Time 1 1 0 1 0 0 0 0 1 0 1 1 Time 2 0 1 0 0 0 0 1 0 1 1 0 Time 3 1 0 0 0 0 1 0 1 1 0 0 Time 4 0 0 0 0 1 0 1 1 0 0 1 Time 5 0 0 0 1 0 1 1 0 0 1 0 Time 6 0 0 1 0 1 1 0 0 1 0 0 Time 7 0 1 0 1 1 0 0 1 0 0 1 Time 8 pseudo-random bits: 11001001…

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