Fig. 7: Schematic of noise mitigation systems using a T-TAI and an S-TAI.

The top row illustrates the T-TAI, which involves TPM of the signal under test (SUT) with a quadratic periodic phase pattern derived from the Talbot effect, followed by quadratic spectral phase filtering via GVD. This process focuses the waveform energy into short temporal pulses, resulting in an effective local amplification by a magnification factor of q. The bottom row shows the S-TAI, which starts with GVD and is followed by TPM, achieving similar amplification effects along the spectral domain. In both methods, the phase-coherent target signal is locally amplified, while noise remains nearly unaltered.