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Chapter 5 Amplitude Modulation Contents - UMD

Chapter 5 Amplitude ModulationContentsSlide 1 Amplitude ModulationSlide 2 The Envelope and No OvermodulationSlide 3 Example for Single Tone ModulationSlide 4 Measuring the Modulation IndexSlide 5 Transmitted vs. Message Power ins(t)Slide 6 Powers in Single Tone Case (cont.)Slide 7 Spectrum of an AM Signal (cont.)Slide 8 Demodulating by Envelope DetectionSlide 9 Square-Law Envelope Detector (cont.)Slide 10 Sampling Rate for Square-Law DetectorSlide 11 hilbert Transforms and ComplexEnvelopeSlide 12 hilbert Transforms (cont.)Slide 13 Pre-Enveope or Analytic SignalSlide 14 Spectrum of Pre-EnvelopeSlide 15 Transforms of Pre and Complex EnvelopesSlide 16 Pre-Envelope of AM SignalSlide 17 Envelope Detector Using the HilbertTransformSlide 18 Experiment Making an AMModulatorSlide 19 Experiment (cont.)

Hilbert transforms are used extensively for analysis and signal processing in passband communication systems. Let x(t) have the Fourier transform X(ω). The Hilbert transform of x(t) will be denoted by ˆx(t) and its Fourier transform by Xˆ(ω). The Hilbert transform is defined by the integral xˆ(t) = x(t)∗ 1 πt = 1 π Z ∞ −∞ x(τ ...

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