The output signal of the sampler

The output signal of the sampler

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This paper proposes a chaos-based secure direct-sequence/spread-spectrum (DS/SS) communication system which is based on a novel combination of the conventional DS/SS and chaos techniques. In the proposed system, bit duration is varied according to a chaotic behavior but is always equal to a multiple of the fixed chip duration in the communication p...

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... In these techniques, the communication efficiency decreases and also receiver requires enough time to de-spread the message. Nguyen Xuan Quyen et al. [7] discussed a chaosbased DSSS; the message bit duration is varied according to a chaotic behaviour, and these data bits are spread with a pseudo-noise (PN) sequence. The receiver requires an identical regeneration of both PN sequence and also the chaotic behaviour to improve the data security significantly. ...
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... The chaotic maps under finite precision have been focus of research community due to numerous applications, such as secure communications [1][2][3][4][5][6], random number generation [7] and cryptography [4,[8][9][10][11]. Aforementioned applications require digital chaotic maps with larger period, higher randomness and nonlinearity in order to provide higher resistance against cryptanalysis. ...
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In cryptographic algorithms, random sequences of longer period and higher nonlinearity are always desirable in order to increase resistance against cryptanalysis. The use of chaotic maps is an attractive choice as they exhibit properties that are suitable for cryptography. In continuous phase space of the logistic map, proper control parameters and initial state result into aperiodic trajectories. However, when the phase space of the logistic map is quantized, the trajectories terminate in finite and stable periodic orbits due to quantization error. The dynamic degradation of the logistic map can be mitigated using nonlinear feedback and cascading multiple chaotic maps. We propose a logistic map-based, finite precision multi-dimensional logistic map, that incorporates nonlinear feedback and modulus operations to perturb the chaotic trajectories. We present complexity, average cycle length and randomness analysis to evaluate the proposed method. The simulation results and analysis reveal that the proposed MDLM approach achieves longer period and higher randomness.
... Virtually all circuits use correlators or coherent filters to evaluate the binary signal on the receiving side. However, recently, based on the ergodicity of the chaotic signal, a simple technique for evaluating chaotic parameters in a noisy environment was introduced [4][5][6]. At the beginning of this approach, the proposed modification of the new ergodic chaotic on-off manipulation (Ergodic Shaotic Оn-Off Keying, E-COOK) for a digital communication scheme with logistic mapping is proposed. ...
... The nonzero values of cross-correlation amongst other users' sequences can cause popping up an issue of Multiple Access Interference (MAI), which is considered a main limiting factor to system's BER performance and capacity [3]. The lower randomization and short complexity, and periodicity, they cause a weakened security trouble (High probability Interception (HPI)) and less number of generated sequences (lower capacity) [4]. However, many of designed schemes for generating chaotic sequences [5,6] based on 1D Logistic ...
... These are variation bit duration, sensitive dependence to initial conditions (x 0 ,y 0 ,z 0 ) and mismatching system's parameters (ρ,μ,γ) [20].Unlike PN-sequences , the OCCSs(̂,̂,̂) and Logistic Map have variable bit duration [20],which puts difficult barriers in front intruder that tries to break down the spreading sequences and hack the desired data. Even though [29,30] had proposed attacker methods to decipher the spreading sequences ,the initial conditions (x 0 ,y 0 ,z 0 ) and system's parameters (ρ,μ,γ) of OCCSs provide a super security keys for DS/SS-CDMA system ,therefore, it is difficult for the eavesdropper to decode the spreading sequences and capture information [4]. As shown in Figure 10, the security level of DS/SS-CDMA system against an intruder increases when a small mismatch is occurred in initial conditions or chaotic parameters between transmitter and target receiver ; this leads up to increasingly reproduce bit errors in symbols QPSK modulation. ...
... In addition, multi-user spreadspectrum modulation schemes and chaos have been proposed in literature, see e.g. [25][26][27] . ...
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... Binary sequences with good pair wise cross-correlation generated by various chaotic maps can be used in CDMA systems [9]. The advantages, such as: interference rejection, antijamming, fading reduction, multi-access potential and low probability of interception, of using direct sequence spread spectrum (DSSS) making use of the chaotic sequence is given in [10]. ...
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... For communications, chaos theory has been extensively investigated and many brand new chaos-based communication schemes have been reported: optical links using chaotic pulse positioning [6], wireless links transmitting chaotic signals [7], spreadspectrum communication systems using chaotic signals [8], secured communication systems and links encrypted with chaos [9][10][11][12][13]. All these systems and approaches revolve around one core element which is the source of chaotic dynamics: the chaos generator. ...
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... In [6] high-efficiency DCSK (HE-DCSK) introduced to combat with this drawback, but HE-DCSK is difficult to implement. The Chaotic Direct-Sequence Spread-Spectrum (CDSSS) method was used in [7][8][9] for perfor- mance enhancement in noisy channels. Several methods have been proposed for performance improvement of DCSK modulation. ...
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... Since these discoveries, various digital communication systems, have *Correspondence: leonard.novosel@fer.hr University of Zagreb, Faculty of electrical engineering and computing, Unska 3, Zagreb, Croatia been developed with chaotic signals[3,[5][6][7][8][9][10]with further advances in different fields of chaotic modulation techniques[11][12][13][14][15]. Chaotic systems display interesting properties that can be used in digital communication systems. ...
... Chaotic sequences can be used instead of pseudo-random sequences in cryptography, spreadspectrum systems, image, and video coding. Research in using chaotic sequences in spread spectrum for multiple access has been made before[3,[6][7][8][9][19][20][21]with some implementations in various hardware architectures[10,22,23]. This paper was inspired by previous work on simulated chaotic spread-spectrum system models. ...
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In this paper, bit error performance evaluation of chaotic sequences is presented. Performance of chaotic sequences is evaluated on multiple access spread spectrum system model for USRP software defined radio. LabVIEW is used to perform numerical simulations and bit error rate analysis. Chaotic sequences of different lengths are generated using one-dimensional, two-dimensional, and three-dimensional maps. It is expected that sequences generated from complex maps will have better multiple access performance. Performance of chaotic sequences is evaluated against orthogonal sequences in multiple access scenario. Using Golay figure of merit and Pearson correlation coefficient, analysis of correlation properties and a comparison is performed on orthogonal and chaotic sequences for correlation properties comparison. The results show that chaotic sequences from two-dimensional maps have lower bit error rate than orthogonal and other chaotic sequences. Comparison of correlation properties shows that sequences with a low figure of merit and low Pearson coefficient have lower bit error rate. Those results can be used to generate chaotic sequences with desired correlation properties.
... The proposed system inherits capabilities like interference rejection, antijamming, fading reduction, and low probability of interception from the conventional direct sequence spread spectrum (DSSS) systems [7]. In conventional DSSS systems, the users transmit their information using Walsh functions or wavelets [8]. ...
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Code-division multiple access (CDMA) has played a remarkable role in the field of wireless communication systems, and its capacity and security requirements are still being addressed. Collaborative multiuser transmission and detection are a contemporary technique used in CDMA systems. The performance of these systems is governed by the proper accommodation of the users and by proper synchronization schemes. The major research concerns in the existing multiuser overloaded CDMA schemes are (i) statistically uncorrelated PN sequences that cause multiple-access interference (MAI) and (ii) the security of the user’s data. In this paper, a novel grouped CDMA scheme, the 1D-Bernoulli chaotic collaborative CDMA (BCC-CDMA), is introduced, in which mutually orthogonal chaotic sequences spread the users’ data within a group. The synchronization of multiple groups in this scheme has been analyzed under MAI limited environments and the results are presented. This increases the user capacity and also provides sufficient security as a result of the correlation properties possessed by the chaotic codes. Multigroup synchronization is achieved using a 1D chaotic pilot sequence generated by the Bernoulli Map. The mathematical model of the proposed system is described and compared with the theoretical model of the synchronization in CDMA, the simulation results of which are presented.