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Electrical Communications Systems ECE.09.331 Spring 2010. Lecture 5b February 17, 2010. Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/spring10/ecomms/. Plan. Amplitude Modulation (Standard-AM) Double Sideband - Suppressed Carrier (DSB-SC).
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Electrical Communications SystemsECE.09.331Spring 2010 Lecture 5bFebruary 17, 2010 Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/spring10/ecomms/
Plan • Amplitude Modulation (Standard-AM) • Double Sideband - Suppressed Carrier (DSB-SC) Signals Systems Modulation Index Efficiency Bandwidth Noise Performance Transmitters Receivers Standards Time Domain Complex Envelope Spectrum Power
Signals Systems Complex Envelope Time Domain Spectrum Power Performance Transmitters Receivers Standards Modulation Index Efficiency Bandwidth Noise Amplitude Modulation (AM)
|M(f)| |S(f)| -B 0+B f -fc-B -fc -fc+B 0fc-B fc fc+B f AM Spectrum Message Spectrum AM Spectrum
m(t) Am t c(t) Ac t Ac[1+Am] s(t) Ac t Single Tone AM m(t) = Amcos(2pfmt) c(t) = Accos(2pfct) s(t) = Ac[1 + Amcos(2pfmt)]cos(2pfct)
Spectrum of Single Tone AM Instrument Demo Matlab Demo http://engineering.rowan.edu/~shreek/spring10/ecomms/demos/am.m
Percentage Modulation Amax = Ac[1+Am] s(t) Amin = Ac[1-Am] Ac t
|M(f)| |S(f)| -B 0+B f -fc-B -fc -fc+B 0fc-B fc fc+B f AM Bandwidth Message Spectrum AM Spectrum
AM Standards See p. 308
AM: Features • AM system is very cheap to build and maintain • AM is wasteful of power - max efficiency is 33% • AM is wasteful of bandwidth - twice the message bandwidth is required • AM Modifications: • DSB-SC • SSB • VSB
|M(f)| -B 0+B Signals Systems Modulation Index Efficiency Bandwidth Noise Performance Transmitters Receivers Standards Time Domain Complex Envelope Spectrum Power DSB-SC Modulation Message Spectrum Matlab Demo http://engineering.rowan.edu/~shreek/spring10/ecomms/demos/dsbsc.m f DSB-SC Spectrum |S(f)| -fc-B -fc -fc+B 0fc-B fc fc+B f
n(t) m(t) g(t) s(t) r(t) Signal P rocessing Signal processing Carrier circuits Carrier circuits Channel Complex Envelope Representation • We want a common mathematical representation for • information transfer from baseband to bandpass • any bandpass signal • any time of modulation • signal/noise and signal+noise
message: m(t) carrier: c(t) Modulator s(t): radio signal Complex Envelope Representation • We want a common mathematical representation for • information transfer from baseband to bandpass • any bandpass signal • any time of modulation • signal/noise and signal+noise