Signals & Systems Lecture 3

Main note

1. Determining the Parity of the Signal
   • Even Signal
   • Odd Signal

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Content

Determining the Parity of the Signal

Even Signal

The even part of a signal ( x(t) ), denoted as ( X_e(t) ), is given by: $X_e(t)=\frac{1}{2}[x(t)+x(-t)]$

Odd Signal

The odd part of a signal ( x(t) ), denoted as ( X_o(t) ), is given by: $X_o(t)=\frac{1}{2}[x(t)-x(-t)]$

In exams, they can ask a reverse engineering type question where they provide two signals and they ask us to determine which is even and which is odd.

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References