(New page: Property: Linearity in Fourier Transform: The fourier transform of ax(t) is the integration of 1/T * (ax(t)*exp(-jwt)) The fourier transform of by(t) is the integration of 1/T * (by(t)*e...)
 
 
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Because the linearity of the integral.
 
Because the linearity of the integral.
  
That is why the lineartu in Fourier Transform.
+
That is why the linearty in Fourier Transform.

Latest revision as of 21:45, 8 July 2009

Property: Linearity in Fourier Transform:

The fourier transform of ax(t) is the integration of 1/T * (ax(t)*exp(-jwt))

The fourier transform of by(t) is the integration of 1/T * (by(t)*exp(-jwt))

The fourier transform of ax(t)+by(t) is the integration of 1/T * ((ax(t)+by(t))*exp(-jwt))

Because the linearity of the integral.

That is why the linearty in Fourier Transform.

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett