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Binary and Ternary High Resolution Codes Generation Using CHEBYSHEV CHAOTIC METHOD in MATLAB Project

Binary and Ternary High Resolution Codes Generation Using CHEBYSHEV CHAOTIC METHOD in MATLAB Project


INTRODUCTION
Beginning with short pulses, and going on to frequency modulated pulses and beyond, waveforms have been developed for each of the common task of radar and sonar-initial detection, localization and classification. Chaotic waveforms which are generated by non-linear systems offer a new very broad source of signals. They are deterministic (defined by an iterative map or differential equation), and can therefore be practically implemented. They are non –periodic, which suggests there are potential advantages in security and can be used as (infinitely) long spreading sequences.
There has been intense interest in their use in covert communications systems, and this work provides concepts and results which are useful in long range sensing by radar and sonar.
Pulse compression schemes using linear FM have seen wide applications. Linear FM, featuring simple implementation and post processing, has very high peak side lobe level and the width of the main lobe is relatively large, which limits the range resolution. Windowing techniques are usually applied to suppress the side lobe level.
The performance of range resolution radar depends on the autocorrelation pattern of the coded waveform which is nothing but the matched filter output. For best performance, the autocorrelation pattern of the optimum coded waveform must have a large peak value for zero shift and zero value for non-zero shifts.
In this work, good binary phase codes and ternary codes are generated using chebyshev –map equation to achieve a low PSL. It is not an exhaust search method. It is possible to generate infinite number of codes at larger lengths easily , by changing the initial conditions by very small increment, threshold level and bifurcation factor.

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Binary and Ternary High Resolution Codes Generation Using CHEBYSHEV CHAOTIC METHOD in MATLAB

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