An improved chaotic digital encoder

Werter, M.J.

doi:10.1109/82.661656

Cited by 14 publications

(5 citation statements)

References 11 publications

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“…The novel pseudo-random number generator is measured on 2.8 GHz Pentium IV personal computer. In Table 3, we have compared the speed of our method with references [22], [25], and [26]. The data show that the novel pseudorandom number scheme has a satisfactory speed.…”

Section: Speed Testmentioning

confidence: 99%

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Novel secure pseudo-random number generation scheme based on two Tinkerbell maps

Stoyanov¹,

Kordov²

2015

astp

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The chaotic map based pseudo-random number generators with good statistical properties have been widely used in modern cryptography algorithms. This paper proposes a Tinkerbell map as a novel pseudorandom number generator. We evaluated the proposed approach with various statistical packages: NIST, DIEHARD and ENT. The results of the analysis demonstrate that the new derivative bit stream scheme is very suitable for embedding in critical cryptographic applications.

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Section: Speed Testmentioning

confidence: 99%

“…Speed (Mbit/s) Proposed 0.4901 Reference [26] 0.4844 Reference [25] 0.3798 Reference [22] 0.2375 Table 3: Speeds of the proposed algorithm and some other algorithms.…”

Section: Generatormentioning

confidence: 99%

Novel secure pseudo-random number generation scheme based on two Tinkerbell maps

Stoyanov¹,

Kordov²

2015

astp

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“…In [9], Clevorn et al developed a method for separating a recursive systematic convolutional (RSC) encoder into subencoders with only a single delay element. This equivalency makes a GF (2) RSC equivalent to a simpler RSC that works inside over a higher-order field, whereas its input and output still work over GF (2). Even if a different problem was addressed in [9], this idea led to the fact that different representation wordlengths can be used in the input and output, and a higher-order field nonlinear encoder is equivalent to a linear GF (2) RSC encoder.…”

Section: Introductionmentioning

confidence: 95%

“…In the same paper, the author showed that this nonlinear recursive filter possesses quasichaotic properties for both autonomous and nonautonomous modes. In [2], Werter improved this encoder to increase the randomness between the output sequence samples. The performances of a pulse-amplitude-modulation (PAM) communication system using the Frey encoder with additive white Gaussian noise (AWGN) were analyzed in [3].…”

Section: Introductionmentioning

confidence: 99%

Improved Frey Chaotic Digital Encoder for Trellis-Coded Modulation

Vlădeanu¹,

Assad

Carlach

et al. 2009

IEEE Trans. Circuits Syst. II

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In this brief, nonlinear digital filters with finite precision are analyzed as recursive systematic convolutional (RSC) encoders. An infinite-impulse-response (IIR) digital filter with finite precision (wordlength of N bits) is a rate-1 RSC encoder over a Galois field GF (2 N ). The Frey chaotic filter is analyzed for different wordlengths N , and it is demonstrated that the trellis performances can be enhanced by proper filter design. Therefore, a modified definition for the encoding rate is provided, and a trellis design method is proposed for the Frey filter, which consists of reducing the encoding rate from 1 to 1/2. This trellis optimization partially follows Ungerboeck's rules, i.e., increasing the performances of the encoded chaotic transmission in the presence of noise. In fact, it is demonstrated that for the same spectral efficiency, the modified Frey encoder outperforms the original Frey encoder only for N = 2. To show the potential of these nonlinear encoders, it is demonstrated that a particular nonlinear digital filter over GF (4) is equivalent to a GF (2) conventional optimum RSC encoder. The symbol error rate (SER) is estimated for all the proposed schemes, and the results show the expected coding gains as compared to their equivalent nonencoded and linear versions.

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“…The Frey filter contains a nonlinear function named left-circulate function (LCIRC), which provides the chaotic properties of the filter. In [2], Werter improved this encoder in order to increase the randomness between the output sequence samples. The performances of a pulse amplitude modulation (PAM) communication system using the Frey encoder, with additive white gaussian noise (AWGN) were analyzed in [3], by means of simulations.…”

Section: Introductionmentioning

confidence: 99%

Optimum PAM-TCM schemes using left-circulate function over GF(2<sup>N</sup>)

Vlădeanu

Assad

Carlach

et al. 2009

2009 International Symposium on Signals, Circuits and Systems

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In this paper, optimum recursive systematic convolutional (RSC) encoders over Galois field GF(2 N ) are designed using a nonlinear function, i.e., left-circulate function (LCIRC). The LCIRC function performs a bit left circulation over the representation word; it is used in microprocessors as an accumulator operation, and in chaotic sequence generators working in finite precision. Different encoding rates are obtained for these encoders when using different representation wordlengths at the input and the output, denoted as N in and N, respectively. A generalized 1-delay GF(2 N ) RSC encoder scheme using LCIRC is proposed for performance analysis and optimization, for any possible encoding rate, N in /N. The minimum Euclidian distance is estimated for these optimum encoders and a general expression is found as a function of the wordlengths N in and N. The symbol error rate (SER) is estimated by simulation for a quaternary pulse amplitude modulation -trellis-coded modulation (PAM-TCM) transmission over an additive white Gaussian noise (AWGN) channel. The simulation results confirm the expected coding gains determined theoretically.

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An improved chaotic digital encoder

Cited by 14 publications

References 11 publications

Novel secure pseudo-random number generation scheme based on two Tinkerbell maps

Novel secure pseudo-random number generation scheme based on two Tinkerbell maps

Improved Frey Chaotic Digital Encoder for Trellis-Coded Modulation

Optimum PAM-TCM schemes using left-circulate function over GF(2<sup>N</sup>)

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