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Hough transform for long chirp detection

机译:霍夫变换可进行长线性调频检测

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摘要

The online detection of a very long and weak chirp signal is studied. The signal has an extremely slowly decreasing frequency, and is corrupted by white Gaussian noise and possibly also by powerful tones. By exploring and comparing candidate methods, it is found that the Hough transform (HT) detector appears to be most suitable given constraints on computational load and detectability. The analytical and the simulational performance of the HT detector are obtained and compared with the analytical performance of the generalized likelihood ratio test (GLRT), which is assumed to be optimal. Applying a suitable threshold for the HT can increase speed dramatically while preserving performance. We have found that both dithering (taking varied frequency shifts for fast Fourier transforms (FFTs)) and increasing the FFT length can reduce the minimum detectable frequency slope with nearly no additional computation
机译:研究了非常长而微弱的线性调频信号的在线检测。信号的频率下降得非常慢,并且会因高斯白噪声和强大的音调而损坏。通过探索和比较候选方法,发现霍夫变换(HT)检测器似乎在给定计算负载和可检测性约束的情况下最为合适。获得了HT检测器的分析和仿真性能,并将其与假定为最佳的广义似然比测试(GLRT)的分析性能进行了比较。为HT应用合适的阈值可以在保持性能的同时显着提高速度。我们已经发现,抖动(为快速傅立叶变换(FFT)采取不同的频移)和增加FFT长度都可以减少可检测的最小频率斜率,而几乎不需要额外的计算

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