Signal

Pre-envelope of ${\Pi}_{a}(t)\cos(2{\pi}f_{0}t)$

Pre-envelope of ${\Pi}_{a}(t)\cos(2{\pi}f_{0}t)$
  1. What is a pre envelope?
  2. How do you find the complex envelope of a signal?

What is a pre envelope?

An analytic signal is a complex signal created by taking a signal and then adding in quadrature its Hilbert Transform. It is also called the pre-envelope of the real signal.

How do you find the complex envelope of a signal?

All the information carried in a real-valued signal s ( t ) can be represented by a corresponding lowpass complex envelope: s ( t ) = Re g ( t ) e j 2 π f c t = i ( t ) cos2 π f c t - q ( t ) sin2 π f c t . In this equation: f c is the carrier frequency.

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