(New page: == Complex Exponential Modulation == Many communication systems rely on the concept of sinusoidal amplitude modulation, in which a complex exponential or a sinusoidal signal, <math>c(t)\!<...) |
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<center><math>y(t) = x(t)c(t)\!</math></center> | <center><math>y(t) = x(t)c(t)\!</math></center> | ||
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| + | An important objective of amplitude modulation is to produce a signal whose frequency range is suitable for transmission over the communication channel that is to be used. | ||
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| + | One important for of modulation is when a complex exponential is used as the carrier. | ||
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| + | <center><math>c(t) = e^{j(\omega_c t + \theta_c)}\!</math></center> | ||
Revision as of 16:12, 16 November 2008
Complex Exponential Modulation
Many communication systems rely on the concept of sinusoidal amplitude modulation, in which a complex exponential or a sinusoidal signal, $ c(t)\! $, has its amplitude modulated by the information-bearing signal, $ x(t)\! $. $ x(t)\! $ is the modulating signal, and $ c(t)\! $ is the carrier signal. The modulated signal, $ y(t)\! $, is the product of these two signals:
An important objective of amplitude modulation is to produce a signal whose frequency range is suitable for transmission over the communication channel that is to be used.
One important for of modulation is when a complex exponential is used as the carrier.
