An Improved LFM Signal Reconstruction Method and its Application

In this paper, a time-domain signal reconstruction method based on the Lv distribution (LVD) is introduced for multi-component linear frequency modulated (LFM) signals. Comparing to the LVD based signal reconstruction (LSR) which had been reported to recover signals based on the auto-terms, our approach can reduce recovery errors by subtracting cross-terms mixed in the auto-terms. Therefore it is an improved method of LSR, referring to as the LSR with suppressed cross-terms (LSRSC). Examples are simulated to show that the LSRSC is able to reconstruct multi-component LFM signals effectively. Finally, the proposed method is employed on re-sampling to arbitrary sampling rate and achieves better performance than the LSR and fractional Fourier transform.