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Output SNR Analysis of the LPP-Hough Transform

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Executive Summary

In many practical applications, such as radar, sonar, and communications, Linear Frequency Modulated (LFM) signals are of great importance. Since an LFM signal can be described as a straight line in the time-frequency domain, with the help of the Hough transform, the task of tracking an LFM signal can be turned into locating the maximum peak in the signal parameter space. The Wigner-Hough Transform (WHT) was proposed to detect an LFM signal, which is asymptotically efficient and offers a desirable suppression of the cross terms. Moreover, the Pseudo-Wigner-Hough Transform (PWHT) was also proposed as an estimator for the phase parameters of mono-component and multi-component FM signals, with both desirable numerical properties and statistical performance.

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