信号产生采用切比雪夫多项式的脉冲压缩与小的相对旁瓣电平

Ankur Thakur, S. Talluri, D. Saini
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引用次数: 7

摘要

本文的主题是提出用切比雪夫多项式改善峰值旁瓣电平和时带宽积。这种PSL行为是通过匹配滤波器(MF)响应观察到的,该响应包含主瓣宽度和副瓣。为了更好地减少旁瓣,切比雪夫多项式被修改了通过得到正脉冲和负脉冲进行过零处理。本文考虑了两种情况,一是分析了普通的切比雪夫多项式,二是在切比雪夫多项式的循环中加入了一个修正。在此之后,脉冲的最小持续时间被用于确定在合并的脉冲数与原始信号之间具有最小均方误差(MSE)的最佳持续时间。这是通过大大减少搜索域,以更少的PSL给出更大的信号。这种新方法尝试实现一种旁瓣电平降低技术。所有这些过程都是通过数学方程和仿真验证进行的。
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Signal generation employing Chebyshev polynomial for pulse compression with small relative side-lobe level
The theme of this paper is to present the improvement in the peak side-lobe levels (PSL) and time-bandwidth product with Chebyshev polynomial. This PSL behavior is observed by the matched filter (MF) response, which contains main-lobe width as well as side-lobes. Here to get a better reduction in the side-lobes, Chebyshev polynomials are modified by using zero-crossing there by getting the positive and negative pulse. Here two cases have been considered, in first ordinary Chebyshev polynomial are analyzed, second is a modification in the cycles of Chebyshev polynomial is incorporated. After this the smallest duration of the pulse has been used in determining the optimal duration which has the smallest mean square error (MSE) between the number of pulses incorporated and original signal. This is giving a much larger signal with less PSL by reducing the search domain considerably. This new method tries to implement a side lobe level reduction technique. All of the mentioned procedure is carried out by mathematical equations and simulation verification.
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