CartesianToPolar

streaming mode | Math category

Inputs

  • complex (vector_complex) - the complex input vector

Outputs

  • magnitude (vector_real) - the magnitude vector
  • phase (vector_real) - the phase vector

Description

This algorithm converts an array of complex numbers from cartesian to polar form. It uses the Euler formula:
z = x + i*y = |z|(cos(α) + i sin(α))
where x = Real part, y = Imaginary part, and |z| = modulus = magnitude, α = phase in (-π,π]

It returns the magnitude and the phase as 2 separate vectors.

References:

[1] Polar Coordinates -- from Wolfram MathWorld, http://mathworld.wolfram.com/PolarCoordinates.html

[2] Polar coordinate system - Wikipedia, the free encyclopedia, http://en.wikipedia.org/wiki/Polar_coordinates

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