A continuous-time signal (t) is a function mapping time t R to values w(t) in either C m or R m . The energy

A continuous-time signal ω(t) is a function mapping time t ∈ R to values w(t) in either C^m or R^m. The energy content of a signal ω(t) is defined as

where ΙΙwΙΙ₂ is the 2-norm of the signal. The class of finite-energy signal contains signals for which the above 2-norm is finite.

Periodic signals typically have infinite energy. For a signal with period T, we define its power content as

1. Evaluate the energy of the harmonic signal  and of the causal exponential signal   

2. Evaluate the power of the harmonic signal ω(t) = νe^Jωt and of the sinusoidal signal ω(t) = νsin(ωt).

E(w) = ||w||3 = S ||w(t)||23dt, 00