About Signals and systems power and energy problems
A signal is said to be an energy signal if and only if its total energy E is finite, i.e., 0 < πΈ < β. For an energy signal, the average power P = 0. The nonperiodic signals are the examples of energy signals.
A signal is said to be a power signal if its average power P is finite, i.e., 0 < π < β. For a power signal, the total energy E = β. The periodic signals are.
In electric circuits, the signals may represent current or voltage. Consider a voltage v(t) applied across a resistance R and i(t) is the current flowing through it as shown in the figure. The instantaneous power in the resistance R is given by, π(π‘) = π£(π‘) β π(π‘).(1) By Ohmβs.
For the discrete time signal x(n), the integrals are replaced by summations. Hence, the total energy of the discrete time signal x(n) is.
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