Journal ArticleDOI
On fast M-sequence transforms (Corresp.)
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The equivalence of M -sequence matrices to Walsh-Hadamard matrices can be exploited to take advantage of the latter's fast transform algorithm.Abstract:
The equivalence of M -sequence matrices to Walsh-Hadamard matrices can be exploited to take advantage of the latter's fast transform algorithm. The nature of the obvious equivalence, its relation to the M -sequence and its implementation as address modifications realized by linear feedback shift-registers are discussed.read more
Citations
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Journal ArticleDOI
The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
TL;DR: Certain notorious nonlinear binary codes contain more codewords than any known linear code and can be very simply constructed as binary images under the Gray map of linear codes over Z/sub 4/, the integers mod 4 (although this requires a slight modification of the Preparata and Goethals codes).
Posted Content
The Z_4-Linearity of Kerdock, Preparata, Goethals and Related Codes
TL;DR: In this paper, it was shown that all the nonlinear binary codes constructed by Nordstrom-Robinson, Kerdock, Preparata, Goethals, and Delsarte-Goethals can be constructed as binary images under the Gray map of linear codes over Z_4, the integers mod 4.
Journal Article
Comparison of different impulse response measurement techniques
TL;DR: In this paper, the authors compared four of the most suitable methods: MLS (maximum-length sequence), IRS (inverse repeated sequence), time-stretched pulses, and SineSweep.
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High speed multi-frequency impedance analysis of single particles in a microfluidic cytometer using maximum length sequences
TL;DR: It is demonstrated that the MLS technique can give multi-frequency (broad-band) measurement in a short time period and good agreement is shown between the MLS data and both circuit simulations and conventional AC single frequency measurements.
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Broadband single cell impedance spectroscopy using maximum length sequences: theoretical analysis and practical considerations
TL;DR: In this paper, the authors used maximum length sequences (MLS) for periodic excitation signal in a microfluidic impedance cytometer, which allowed multi-frequency single cell impedance measurements to be made in a short time period.
References
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Book
Algebraic Coding Theory
TL;DR: This is the revised edition of Berlekamp's famous book, "Algebraic Coding Theory," originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field.
Journal ArticleDOI
On generalized ReedMuller codes and their relatives
TL;DR: The polynomial formulation of generalized ReedMuller codes is somewhat formalized and an extensive study is made of the interrelations between the m- variable approach of Kasami, Lin, and Peterson and the one-variable approach of Mattson and Solomon.
Journal ArticleDOI
Applications of Walsh functions in communications
TL;DR: The Walsh functions are of great practical interest since they lead to equipment that is easily implemented by semiconductor technology, and some interesting applications of electromagnetic Walsh waves have been found theoretically.
Journal ArticleDOI
Coding and its application in space communications
TL;DR: It turns out that a simple encoder in combination with a decoder of modest complexity placed into an uncoded communications system can increase the data rate by a factor of four or more depending on the coding scheme and the allowable error rate.
Combinatorial structures in planetary reconnaissance.
TL;DR: Mariner 1969 high rate telemetry system portions pertinent to combinatorial mathematicians, discussing coding and encoding as mentioned in this paper, discussing coding, encoding, and coding and decoding of codes.