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Electrical Communications Systems ECE.09.433
Amplitude Modulation I Dr. Shreek Mandayam Electrical & Computer Engineering Rowan University
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Plan Baseband and Bandpass Signals Modulation
Battle Plan for Analyzing Comm Systems Amplitude Modulation (AM) Time Domain Spectrum
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ECOMMS: Topics
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Baseband and Bandpass Signals
Baseband signals: spectral magnitude is non-zero only near the origin and is zero (or negligible) elsewhere Bandpass signals: spectral magnitude is non-zero only near the vicinity of f = ± fc, were fc >> 0 - fm fm W(f) f - fc fc W(f) f Carrier Frequency AF Signals RF Signals
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Modulation What is it? How is it done? Modulator Information
Modulating Signal Message Signal m(t) (Baseband) Modulated Signal s(t) (Bandpass) Information Modulation Frequency Translation How is it done? Modulator message: m(t) carrier: c(t) s(t): radio signal
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Why Modulate? Antenna size considerations Narrow banding
Frequency multiplexing Common processing
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Battle Plan for Analyzing any Comm. Sys.
Signals Systems Complex Envelope Time Domain Spectrum Power Performance Transmitters Receivers Standards Modulation Index Efficiency Bandwidth Noise
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Amplitude Modulation (AM)
Signals Systems Complex Envelope Time Domain Spectrum Power Performance Transmitters Receivers Standards Modulation Index Efficiency Bandwidth Noise
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AM Spectrum Message Spectrum |M(f)| f AM Spectrum |S(f)| f -B 0 +B
-fc-B -fc fc+B fc-B fc fc+B |S(f)| f
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Single Tone AM m(t) m(t) = Amcos(2pfmt) Am t c(t) Ac
c(t) = Accos(2pfct) s(t) t Ac Ac[1+Am] s(t) = Ac[1 + Amcos(2pfmt)]cos(2pfct)
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Spectrum of Single Tone AM
Matlab Demo
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Summary
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