Lecture 17

Lecture 17 - Lecture 17 FDM, TDM, and Angle Modulation...

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1 Lecture 17 – FDM, TDM, and Angle Modulation ECSE304 Signals and Systems II ECSE 304 Signals and Systems II Lecture 17: Frequency Division Multiplexing, Time Division Multiplexing, and Angle Modulation Reading: O and W – Sections 8.6 – 8.7 Boulet – Chapter 16 Richard Rose McGill University Dept. of Electrical and Computer Engineering 2 Lecture 17 – FDM, TDM, and Angle Modulation ECSE304 Signals and Systems II Course Outline • Discrete-Time Fourier Series and DT Fourier Transform • The Z – Transform • Time and Frequency Analysis of DT Signals and Systems • Sampling Systems – Lecture 12: The Sampling Theorem – Lecture 13: Discrete Time Processing of Continuous Time Signals – Lecture 14: Sampling of Discrete Time Signals • Application to Communications Systems – Lecture 15: Amplitude Modulation – Lecture 16: Single Sideband and Pulse Amplitude Modulation – Lecture 17: Frequency and Time Division Multiplexing and Angle Modulation • State Models of Continuous Time LTI Systems • Linear Feedback Systems
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3 Lecture 17 – FDM, TDM, and Angle Modulation ECSE304 Signals and Systems II • Time Division Multiplexing • Frequency Division Multiplexing • Angle Modulation – Phase Modulation – Frequency Modulation Outline 4 Lecture 17 – FDM, TDM, and Angle Modulation ECSE304 Signals and Systems II Pulse amplitude modulation can be used to transmit multiple signals over a single channel: Time Division Multiplexing () pt (/ 2 ) pt T 2 ) 1 x t 2 x t r H j ω r H j 1 yt 2 Transmission System TDM x t TDM y t ( ) n t nT δ =−∞ =− 1 2 ( ) ( ) ( / 2) ( / 2) TDM n n xt x n T t n T xn TT tn =−∞ =−∞ +− 12 ()0 , 2 2 M M Xj T ωω π == > > ch H j Assume band- limited input signals Transmission system can be anything: •Telephone line •Radio link Multiplexing De-Multiplexing Ideal case – impulse train carrier
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5 Lecture 17 – FDM, TDM, and Angle Modulation ECSE304 Signals and Systems II Time Division Multiplexing 6 Lecture 17 – FDM, TDM, and Angle Modulation ECSE304 Signals and Systems II • Transmission bandwidth requirements for : • Important point: • Generalizing to N Channels: – Sampling Rate – Bandwidth requirements
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Lecture 17 - Lecture 17 FDM, TDM, and Angle Modulation...

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