EE200_Weber_9-2

EE200_Weber_9-2 - complex expontential. Real Imag z 1 (t 1...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
13 EE 200 Complex Numbers A complex number is a point on the complex number plane Real Imag x y z r θ Rectangular coordinates: z = x + iy Polar coordinates: z = r ∠θ
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
14 EE 200 Complex Exponential Signals A complex exponential signal is defined by Real Imag z(t) ω 0 t+ φ Length of vector z(t) is constant (in this case) Vector rotates around the origin as t increases z ( t ) = Ae j " 0 t + # A
Background image of page 2
15 EE 200 Complex Exponential Signals A sum of complex exponential signals is another
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: complex expontential. Real Imag z 1 (t 1 ) z 2 (t 1 ) z 3 (t 1 ) z 2 (t 1 ) z 3 (t 1 ) z(t 1 ) = z 1 (t 1 ) + z 2 (t 1 ) + z 3 (t 1 ) Real Imag z 1 (t 2 ) z 2 (t 2 ) z 3 (t 2 ) z 2 (t 2 ) z 3 (t 2 ) z(t 2 ) = z 1 (t 2 ) + z 2 (t 2 ) + z 3 (t 2 ) The sum phasor is rotating at the same rate as the others so it has the same frequency....
View Full Document

This note was uploaded on 10/13/2009 for the course EE 200 at USC.

Page1 / 3

EE200_Weber_9-2 - complex expontential. Real Imag z 1 (t 1...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online