A Signal Theoretic Approach for Envelope Analysis of Real-Valued Signals

作者：Yang, Yanli^*

来源：IEEE Access, 2017, 5: 5623-5630.

DOI：10.1109/ACCESS.2017.2688467

• Envelope of real-valued signals
• analytic signal
• extrema sampling
• signal reconstruction
• digital signal processing

Analytic envelope is the most prevalent definition of envelopes of real-valued signals. However, analytic signals are not adopted by some envelope detectors in application. This paper investigates the envelopes of real-valued signals from a signal processing perspective. We show that the upper and lower envelopes of signals can be obtained by signal reconstruction after extrema sampling on signals. We prove that extrema sampling is a sub-Nyquist sampling. We then conclude that the envelopes of real-valued signals contain two parts, some low-frequency components of the original signal and some new components generated by sub-Nyquist extrema samplings. Some examples are presented to compare with the analytic envelope of signals.

• 出版日期2017
• 单位天津工业大学