Crosscorrelation properties of pseudorandom and related sequences

Sarwate, D.V.; Pursley, M.B.

doi:10.1109/proc.1980.11697

Cited by 1,409 publications

(552 citation statements)

References 89 publications

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“…4,44,45 Algorithms for generating the MLS and retrieving the system impulse response have been developed by several authors. 38,39,46,47 The MLS is a pseudorandom binary sequence ͑PRBS͒ composed of a sequence of 1 and 0, generated recursively using a series of digital shift registers with selected XOR feedback, called taps ͑Fig.…”

Section: B Generation Of Mlsmentioning

confidence: 99%

Impedance spectroscopy using maximum length sequences: Application to single cell analysis

Gawad

Sun

Green

et al. 2007

Review of Scientific Instruments

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A maximum length sequence (MLS) is used to perform broadband impedance spectroscopy on a dielectric sample. The method has a number of advantages over other pulse-based or frequency sweep techniques. It requires the application of a very short sequence of voltage steps in the microsecond range and therefore allows the measurement of time-dependent impedance of a sample with high temporal resolution over a large bandwidth. The technique is demonstrated using a time-invariant passive RC network. The impedance of single biological cell flowing in a microfluidic channel is also measured, showing that MLS is an ideal method for high speed impedance analysis.

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Section: B Generation Of Mlsmentioning

confidence: 99%

Impedance spectroscopy using maximum length sequences: Application to single cell analysis

Gawad

Sun

Green

et al. 2007

Review of Scientific Instruments

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“…Then the Rademacher functions give the cyclic shifts of the bipolar version of the same m-sequence. However, m-sequences have the well-known 'shift-and-add' property: the product of such a sequence with a cyclic shift of itself is another (different) cyclic shift of the same sequence [1]. In this case using Walsh functions other than the Rademacher functions does not yield any new codewords.…”

Section: Example: the Doubling Mapmentioning

confidence: 99%

“…Considerable effort has gone into devising sets of binary sequences with low auto-and crosscorrelations; this work has been comprehensively reviewed by Sarwate and Pursley [1]. Naturally enough, the approaches generally taken have called on the traditional subjects of linear feedback shift register sequences, and coding theory.…”

Section: Introductionmentioning

confidence: 99%

Codes for spread spectrum applications generated using chaotic dynamical systems

Broomhead¹,

Huke²,

Muldoon

1999

Dynamics and Stability of Systems

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An approach to finding codes for use in direct sequence spread spectrum communications systems is described. It is based upon an analogy between codes having auto-and cross-correlation properties desirable for spread spectrum systems, and certain dynamical systems encountered in ergodic theory called systems with Lebesgue spectrum. Such systems are associated with collections of orthogonal functions and these functions can be used to generate collections of time series with zero cross-correlation functions. To generate codewords we must use truncated versions of these time series, for which the cross-correlations are no longer precisely zero: these truncated sequences correspond to periodic orbits of the dynamical system. The method for finding a code from a suitable periodic orbit is described, and an example, using a simple dynamical system known as the doubling map, is worked through in some detail.

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“…We remark that for many values of r , these "short" crosscorrelation values are known, or can be estimated [S] [7] .…”

Section: T=omentioning

confidence: 99%

Correlation Functions of Geometric Sequences

Chan

Goresky

Klapper

1991

Advances in Cryptology — EUROCRYPT ’90

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Crosscorrelation properties of pseudorandom and related sequences

Cited by 1,409 publications

References 89 publications

Impedance spectroscopy using maximum length sequences: Application to single cell analysis

Impedance spectroscopy using maximum length sequences: Application to single cell analysis

Codes for spread spectrum applications generated using chaotic dynamical systems

Correlation Functions of Geometric Sequences

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