<p>Linear canonical series plays a significant role in many areas of signal processing and optics. In this work, the problem of reconstructing a chirp using linear canonical series is considered along with the properties of linear canonical series expansion coefficients. First, we present direct derivations of linear canonical series expansion coefficients in the linear canonical domain. Moreover, using linear canonical series with appropriate parameters, we present a novel reconstruction technique for linear chirps. The main advantage of this method is that the reconstruction is done with the least error by employing less number of linear canonical series expansion coefficients. This method is more efficient than the traditional Fourier series expansion.</p>