Publication

Correlation properties of binary sequences generated by the logistic map-application to DS-CDMA

2002
Conference Papers

Abstract

In this paper, we will show that a simple one dimension non-linear map allows generating symbolic sequences that have better statistical properties then classical pseudo random ones. Using performance criterion that is suitable for CDMA application, the performances of symbolic sequences will be compared to the performances of Gold ones. This comparison will show that non-linear systems generate sequences that allow a signal to noise ratio better then pseudo-random sequence generated by linear shift registers.

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2002
Conference Papers

Abstract

Official source

Related concepts (32)

Pseudorandom binary sequence

A pseudorandom binary sequence (PRBS), pseudorandom binary code or pseudorandom bitstream is a binary sequence that, while generated with a deterministic algorithm, is difficult to predict and exhibits statistical behavior similar to a truly random sequence. PRBS generators are used in telecommunication, such as in analog-to-information conversion, but also in encryption, simulation, correlation technique and time-of-flight spectroscopy. The most common example is the maximum length sequence generated by a (maximal) linear feedback shift register (LFSR).

Linear-feedback shift register

In computing, a linear-feedback shift register (LFSR) is a shift register whose input bit is a linear function of its previous state. The most commonly used linear function of single bits is exclusive-or (XOR). Thus, an LFSR is most often a shift register whose input bit is driven by the XOR of some bits of the overall shift register value. The initial value of the LFSR is called the seed, and because the operation of the register is deterministic, the stream of values produced by the register is completely determined by its current (or previous) state.

Pseudorandom number generator

A pseudorandom number generator (PRNG), also known as a deterministic random bit generator (DRBG), is an algorithm for generating a sequence of numbers whose properties approximate the properties of sequences of random numbers. The PRNG-generated sequence is not truly random, because it is completely determined by an initial value, called the PRNG's seed (which may include truly random values).

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Correlation properties of binary sequences generated by the logistic map-application to DS-CDMA

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