Journal ArticleDOI
Redundancy, the Discrete Fourier Transform, and Impulse Noise Cancellation
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TLDR
Under certain conditions it is shown that discrete-time sequences carry redundant information which then allow for the detection and correction of errors.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.read more
Citations
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Journal ArticleDOI
Analysis and Simulation of a Digital Mobile Channel Using Orthogonal Frequency Division Multiplexing
TL;DR: The analysis and simulation of a technique for combating the effects of multipath propagation and cochannel interference on a narrow-band digital mobile channel using the discrete Fourier transform to orthogonally frequency multiplex many narrow subchannels, each signaling at a very low rate, into one high-rate channel is discussed.
Book
Matrix Analysis and Applications
TL;DR: In this article, the authors present the theory, methods and applications of matrix analysis in a new theoretical framework, allowing readers to understand second-order and higher-order matrix analysis.
Journal ArticleDOI
Signal processing applications of oblique projection operators
R.T. Behrens,Louis L. Scharf +1 more
TL;DR: The authors show how oblique projections can be used to separate signals from structured noise, damped or undamped interfering sinusoids, and narrow-band noise, and to interpolate missing data samples as a special case of removing impulse noise.
Journal ArticleDOI
Complex-field coding for OFDM over fading wireless channels
TL;DR: This work quantifies the maximum achievable diversity order for independent and identically distributed (i.i.d.) or correlated Rayleigh-fading channels, and provides design rules for achieving the maximum diversity order.
Journal ArticleDOI
Impulsive noise suppression in OFDM-based communication systems
TL;DR: The proposed algorithm compensates impulsive noise in a frequency domain after OFDM demodulation and channel equalization and is applied to DVB-T and its performance is studied by means of simulation.
References
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Journal ArticleDOI
Polynomial Codes Over Certain Finite Fields
I. S. Reed,G. Solomon +1 more
TL;DR: A mapping of m symbols into 2 symbols will be shown to be (2 m)/2 or ( 2 m 1)/2 symbol correcting, depending on whether m is even or odd.
Journal ArticleDOI
Transform techniques for error control codes
TL;DR: By using the theory of finite field Fourier transforms, the subject of error control codes is described in a language familiar to the field of signal processing and several alternative encoder/ decoder schemes are described by frequency domain reasoning.
Journal ArticleDOI
A new approach to error-correcting codes
A. Lempel,S. Winograd +1 more
TL;DR: A correspondence between linear (n,k,d) codes and algorithms for computing a system of k bilinear forms is established, holding promise of a better understanding of the structure of existing codes as well as for methods of constructing new codes with prescribed rate and distance.
Journal ArticleDOI
Discrete-Time Queueing Systems and Their Networks
TL;DR: Queueing systems in descrete time that can model certain computer communication systems are considered and it is shown that a network of such geometric resources with packets arriving in independent Bernoulli streams does not possess the independence property.
Journal ArticleDOI
The fast decoding of Reed-Solomon codes using Fermat theoretic transforms and continued fractions
TL;DR: It is shown that Reed-Solomon codes can be decoded by using a fast Fourier transform (FFT) algorithm over finite fields GF(F_{n}) , where F_{n} is a Fermat prime, and continued fractions.
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