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Maximum length sequence - Extraction of impulse responses
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Maximum length sequence, Maximum length sequence - Extraction of impulse responses, Maximum length sequence - Generation of maximum length sequences, Impulse response, Frequency response, Polynomial ring

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Maximum length sequence - Extraction of impulse responses: Encyclopedia II - Maximum length sequence - Extraction of impulse responses

If a LTI system's impulse response is to be measured using a MLS, the response can be extracted from the measured system output y(n) by taking its cross-correlation with the MLS sequence. This is because the autocorrelation of a MLS is 1 for zero-lag, and nearly zero (−1/N where N is the sequence length) for all other lags; in other words, the autocorrelation of the MLS can be said to approach unit impulse function as MLS sequence length increases. If the impulse response of a system is h ...

MLS are generated using linear feedback shift registers. An MLS generating system with four shift registers is shown in Fig. 1. This can be expressed using the recursive relation, a3(n + 1) = a0(n) + a1(n). Because MLS are periodic and shift registers cycle through every possible binary value (with the exception of the zero vector), ...

Maximum length sequence - Extraction of impulse responses

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