ENERGY AND POWER SIGNALS Copyright 2012 | Instructor: Dr. Gülden Köktürk | EED1004-INTRODUCTION TO SIGNAL PROCESSING.

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Presentation transcript:

ENERGY AND POWER SIGNALS Copyright 2012 | Instructor: Dr. Gülden Köktürk | EED1004-INTRODUCTION TO SIGNAL PROCESSING

The total energy of a periodic signal x(t) (or x[n]) over a single period (T or N) is finite (<∞) if x(t) (or x[n]) takes on finite values over the period. However, the total energy of the periodic signal for -∞<t<∞ (or - ∞<n<∞) is infinite. On the other hand, the average power of the periodic signal is finite and it is equal to the average power over a single period.

Copyright 2012 | Instructor: Dr. Gülden Köktürk | EED1004-INTRODUCTION TO SIGNAL PROCESSING

Exercise: Find the average power of the following periodic signals.

Copyright 2012 | Instructor: Dr. Gülden Köktürk | EED1004-INTRODUCTION TO SIGNAL PROCESSING A real-valued signal is said to be even symmetric x(t)=x(-t) (continuous-time) x[n]=x[-n] (discrete-time). On the other hand, the signal is odd symmetric if x(t)=-x(-t). An even symmetric signal is identical to its axis-reversed counterpart (symmetry with respect to vertical axis) as shown in the examples below. Even symmetric signals Even and Odd Signals

Copyright 2012 | Instructor: Dr. Gülden Köktürk | EED1004-INTRODUCTION TO SIGNAL PROCESSING An odd symmetric signal is identical to the negative of its axis-reversed counterpart (symmetry with respect to origin) as shown in the examples below.

Copyright 2012 | Instructor: Dr. Gülden Köktürk | EED1004-INTRODUCTION TO SIGNAL PROCESSING

Solution:

Copyright 2012 | Instructor: Dr. Gülden Köktürk | EED1004-INTRODUCTION TO SIGNAL PROCESSING