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Lecture 6

# SFWRENG 4J03 Lecture 6: Lecture 2016-01-21 Premium

3 Pages
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Department
Software Engineering
Course Code
SFWRENG 4J03
Professor
Rong Zheng

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Lecture 2016-01-21 Author: Kemal Ahmed Instructor: Dr. Gowri Krishnasamy Course: SFWR ENG 4J03 Math objects made using MathType. Table of Contents Communication over the air............................................................................................................ 1 Frequency Modulation................................................................................................................ 1 Angle Modulation....................................................................................................................... 1 NBFM..................................................................................................................................... 2 WBFM .................................................................................................................................... 3 Communication over the air Frequency Modulation  One of the ways to modulate the angle of a carrier  Frequency of a carrier is related to the instantaneous amplitude of the message signal Message signal: M(t) = A cosm2π f t) m Angle Modulation s(t) = Accos[θ(ti] θ (t) = 2πf t + 2πk m t dt i c f0   instantaneous angle of the modulation signal [f]: iultiply by 2π and integrate to get θ fit) = fc+ k f(t) = fc+ k f cms(2πf t) m = f + Δf cos(2πf t) c m [Δf]: change with respect to original carrier frequency, k A p m Carrier frequency will be varied by Δf fc+ Δf fc– Δf Page 1 of 3 β < 1 → NBFM > 1 → WBFM S   A ccs   i   t  2 tf t dt i  0 i  t  2 f c  2f  cos  f tmd 0  sin 2 f t t  2 f t  2f   m   c  2 fm  0 f  2 f c  sin  f m  fm  2 f t  sin  f t  c m
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