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Electrical Communications Systems ECE.09.433 Spring 2019
Lecture 4a February 12, 2019 Shreekanth Mandayam ECE Department Rowan University
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Plan DSB-SC Modulation Costas Loop QAM Complex Envelope Representation
Spectrum of a bandpass signal Signals Systems Time Domain Complex Envelope Spectrum Power Performance Transmitters Receivers Standards Modulation Index Efficiency Bandwidth Noise
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ECOMMS: Topics
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DSB-SC Modulation Signals Systems Message Spectrum Matlab Demo
Time Domain Complex Envelope Spectrum Power Performance Transmitters Receivers Standards Modulation Index Efficiency Bandwidth Noise Message Spectrum -B B |M(f)| Matlab Demo f DSB-SC Spectrum |S(f)| -fc-B -fc fc+B fc-B fc fc+B f
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DSB-SC: Balanced Modulator
AM Accos2pfct m(t) S AM -Accos2pfct -m(t)
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DSB-SC: Coherent Detector
Product Modulator Baseband LPF v(t) s(t) Aocos2pfct Local Oscillator
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Synchronous Coherent Detection: Costas PLL
I-Channel s(t) v1(t) Product Modulator Baseband LPF VCO -90o Phase Shift X v2(t) v3(t) v4(t) Phase Discriminator Q-Channel
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Quadrature Amplitude Modulation (QAM)
Tx Rx I-Channel Product Modulator Local Oscillator -90o Phase Shift m1(t) m2(t) S s(t) Product Modulator Local Oscillator -90o Phase Shift LPF Q-Channel
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Complex Envelope Representation
Modulator message: m(t) carrier: c(t) s(t): radio signal 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
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Spectrum of a Bandpass Signal
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Summary
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