M-sequence Generator

An M-sequence generator is a type of linear feedback shift register (LFSR) used to produce pseudorandom binary sequences with properties resembling those of white noise. These sequences are important in a variety of fields such as communications, cryptography, and signal processing due to their excellent statistical properties and deterministic nature. The generator works by shifting bits through a register with feedback from certain positions in the sequence, which results in a repeating pattern with a maximal length before the sequence repeats itself.
The primary features of an M-sequence generator include:
- Deterministic output with high randomness
- Maximal length sequence (M-sequence) before repetition
- Efficiency in hardware implementation
Below is a table summarizing key parameters of an M-sequence generator:
Parameter | Description |
---|---|
Length | The number of bits in the sequence before it repeats. |
Period | The length of the sequence before it starts over. |
Feedback Polynomial | The polynomial used to determine the feedback taps for the shift register. |
M-sequence generators are widely used for their ability to generate sequences that exhibit a high degree of randomness while remaining entirely predictable when the initial state and feedback polynomial are known.