A Technique to Compute Smooth Amplitude, Phase, and Frequency Modulations From the Analytic Signal

作者：Venkitaraman Arun^*; Seelamantula Chandra Sekhar

来源：IEEE Signal Processing Letters, 2012, 19(10): 623-626.

DOI：10.1109/LSP.2012.2209872

• Analytic signal
• amplitude modulation
• phase modulation
• over-modulation

Gabor%26apos;s analytic signal (AS) is a unique complex signal corresponding to a real signal, but in general, it admits infinitely-many combinations of amplitude and frequency modulations (AM and FM, respectively). The standard approach is to enforce a non-negativity constraint on the AM, but this results in discontinuities in the corresponding phase modulation (PM), and hence, an FM with discontinuities particularly when the underlying AM-FM signal is over-modulated. In this letter, we analyze the phase discontinuities and propose a technique to compute smooth AM and FM from the AS, by relaxing the non-negativity constraint on the AM. The proposed technique is effective at handling over-modulated signals. We present simulation results to support the theoretical calculations.

• 出版日期2012-10