Abstract
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.
Highlights
Chaotic behavior is present in many systems where it has been labeled as noise or some internal non-linear characteristic of the observed system
Chaotic sequences generated from simple onedimensional map functions can perform equivalently to widely used sequences in spread spectrum systems
Performance of sequences generated from onedimensional maps is the same or better than commonly used sequences, the number of chaotic sequences of the appropriate length surpasses the number of orthogonal or maximum length sequences
Summary
Chaotic behavior is present in many systems where it has been labeled as noise or some internal non-linear characteristic of the observed system. Another property is the random nature of chaotic signals Both properties can be used to increase the capacity in multiple access systems [16, 17]. The spreading code is used to spread the baseband data stream into a wideband signal with the low power-spectral density and noise-like properties. Most significant limitation in spread-spectrum multiple access systems is the interference introduced by an increasing number of users in the bandwidth-limited channel. From Eq 5 it can be seen that noise signal is spread over a large bandwidth, and its power spectral density is low, much like the information signal in transmitter spreading procedure. Original message can be recovered [25]
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