Complex

Equation visualization of complex sinusoid function

Equation visualization of complex sinusoid function
  1. What are complex sinusoids?
  2. Which relation is used for complex sinusoidal notation?

What are complex sinusoids?

1) The real part of a complex sinusoid is a cosine wave and the imag- inary part is a sine wave. 2) A complex sinusoid x(t) = Ae. jΩt+φ can be visualized in the complex. plane as a vector of length A that is rotating at a rate of Ω radians per second and has angle φ relative to the real axis at time t = 0.

Which relation is used for complex sinusoidal notation?

It is true that eiθ = cos θ + i sin θ. Therefore a complex number z = (A,θ) can be written z = A eiθ .

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