LAUSR

The paper develops a new interpretation of matched filtering of non-stationary signals in the fractional Fourier transform domain, which is beneficial for non-stationary/time–frequency signal processing applications. In the pursuit of establishing the theoretical and methodical foundation of matched filtering of non-stationary signal in the presence of non-stationary disturbance, the fractional-order signal processing technique is utilized. So in this context, it presents novel idea of improving the performance of non-stationary radar matched filtering in non-stationary disturbance as compared to classical approach. On the basis of derived analytical formulation, all theoretical results of proposed $$\varvec{\varphi }$$φth fractional matched filter ($$\varvec{\varphi } \hbox {FrMF}$$φFrMF) are corroborated by experimental results.