Title :
Redundancy, the Discrete Fourier Transform, and Impulse Noise Cancellation
Author_Institution :
Univ. of Massachusetts, Amherst, MA, USA
fDate :
3/1/1983 12:00:00 AM
Abstract :
The relationship between the discrete Fourier transform and error-control codes is examined. Under certain conditions we show that discrete-time sequences carry redundant information which then allow for the detection and correction of errors. An application of this technique to impulse noise cancellation for pulse amplitude modulation transmission is described.
Keywords :
DFT; Discrete Fourier transforms (DFT´s); Error-control coding; Impulse noise; Pulse-amplitude modulation; Additive noise; Decoding; Discrete Fourier transforms; Error correction; Galois fields; Maximum likelihood detection; Noise cancellation; Pulse modulation; Redundancy; Signal processing algorithms;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOM.1983.1095820
