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An adaptive echo canceller is a specific type of adaptive interference canceller that removes echos. Adaptive echocancellers are found in all modern telephone systems. The hybrid is supposed to split the opposite-going waves, but typically achieves only about 15dB of suppression. This signal willeventually reach the other end and be coupled back, with a long delay, to the original source, which gives a very annoying echo. Because the input to the adaptive echo canceller contains onlythe signal from the far end that will echo off of the hybrid, it cancels the echo while passing the near-end signal as desired.
A sinusoid is predictable samples ahead, whereas may not be, so the sinusoid can be cancelled using the adaptive system in the Figure. This is another special case of theadaptive interference canceller in which the noise reference input is a delayed version of the primary (signal plus noise) input.Note that must be large enough so that and are uncorrelated, or some of the signal will be cancelled as well!
How would you construct an "adaptive line enhancer" that preserves the sinusoids but cancels the uncorrelated noise?
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