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EE200_Weber_9-2

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

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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

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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
15 EE 200 Complex Exponential Signals A sum of complex exponential signals is another
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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....
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EE200_Weber_9-2 - complex expontential Real Imag z 1(t 1 z...

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