Summary

This blog explains how linear feedback shift registers (LFSRs) can be used as compact counters and encoders, with practical examples and diagrams. Readers will learn how to choose tap polynomials, convert LFSR sequences into usable position or encoder outputs, and implement these techniques in constrained firmware or hardware.

Key Takeaways

• Explain how LFSRs generate maximal-length pseudorandom sequences and how tap selection affects period and properties
• Design modulo-N counters using truncated or folded LFSR sequences to save state bits
• Map LFSR outputs into encoder-friendly codes (including Gray-like mappings) for position and encoder applications
• Implement LFSR-based counters in resource-constrained firmware or simple hardware using bitwise operations
• Evaluate limitations, synchronization issues, and failure modes when using LFSRs for counting and encoding

Who Should Read This

Embedded firmware engineers or hardware designers with some MCU/firmware experience who want compact, low-cost techniques for counters and encoders in resource-constrained systems.

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