Electrical Engineering ⇒ Topic : Energy and Power Signals

Daniel
 
Energy and Power Signals If a voltage v(t) is applied across a resistor R and produces a current i(t) through it, the instantaneous power per ohm is given by ........... (1) We can write the total energy (E) and average power (P) on a per ohm basis as follows: ............... (2) ................. (3) The normalized energy content E of an arbitrary continuoustime signal x(t) is defined as .................... (4) We can define the normalized average power P of x(t) as .................... (5) A signal x(t) is said to be an energy signal if 0 < E < ∞ and P = O. The signal x(t) is said to be power signal if 0 < P < ∞ and E = ∞. If the signal I x(t)I does not satisfy any of the above conditions, the signal is neither an energy signal nor a power signal. All the short time or transient signals are energy signals, whereas power signals are cos ω_{o}t and sin ω_{o}t, etc. The signals t^{1/2}, (t^{2 }+ a^{2})^{1/2} are neither energy nor power signals  
 
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