This paper deals with original design, implementation, test, and potential application of finite impulse response (FIR) with uncommon all-pass negative group delay (AP-NGD) circuit. The counterintuitive AP-NGD numerical circuit theory is established. Design method of first order AP-NGD circuit is introduced with respect to the specified time-advance. The first order difference equation was synthesized, designed, and implemented in STM32® Microcontroller Unit, and experimented to validate the AP-NGD characteristics. The AP-NGD FIR prototype was tested in the time-domain with Gaussian and arbitrary waveform sensored signals. Calculated and experimented results in very good agreement with the most significant timeadvance-10 s ever experimented before are obtained. The potential industrial application of the NGD predictor for sensor fault diagnosis in real-time is described. Index Terms-Numerical circuit design, Negative group delay (NGD) function, Finite Impulse Response (FIR), Timedomain test, All-pass NGD (AP-NGD), NGD numerical circuit, NGD predictor, sensor fault diagnosis.