(Synchronous Demodulation (with phase error) in the Frequency DomainAgain)
(Synchronous Demodulation (with phase error) in the Frequency DomainAgain)
 
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Latest revision as of 20:00, 17 November 2008

the concept of modulation

A ECE301Fall2008mboutin.jpg Why?

•More efficient to transmit E&M signals at higher frequencies

•Transmitting multiple signals through the same medium using different carriers

•Transmitting through “channels” with limited passbands

•Others...

How?

•Manymethods

•Focus here for the most part on Amplitude Modulation (AM)

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Amplitude Modulatioin of a Complex Exponential Carrier

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Demodulation of Complex Exponential AM

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Sinusoidal AM

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Synchronous Demodulation (with phase error) in the Frequency DomainAgain

Demodulating signal has phase difference θw.r.t.the modulating signal

$ cos(\omega_{C}t+\theta)= \frac{1}{2}e^{j\theta}e^{j\omega_{c}t}+\frac{1}{2}e^{-j\theta}e^{-j\omega_{c}t} $

fourier ====>

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett