L04_modulation

L04_modulation - Modulation Wireless communication...

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1 6.02 Spring 2008 Modulation, Slide 1 Modulation Wireless communication application Impulse function definition and properties Fourier Transform of Impulse, Sine, Cosine Picture analysis using Fourier Transforms Copyright © 2007 by M.H. Perrott & C. G. Sodini All rights reserved. 6.02 Spring 2008 Modulation, Slide 2 Motivation for Modulation Modulation is used to change the frequency band of a signal Enables RF communication in different frequency bands Used in cell phones, AM/FM radio, WLAN, cable TV, …. Note: higher frequencies lead to smaller antennas
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2 6.02 Spring 2008 Modulation, Slide 3 The Fourier Transform as a Tool Communication signals are often non-periodic Fourier Transforms allow us to do modulation and filtering analysis using pictures Where: 6.02 Spring 2008 Modulation, Slide 4 Impulses are defined in terms of their properties Area: Fourier Transform: Sampling and convolution properties Shown on the next slides Definition of the Impulse Function An impulse of area A at time t o is denoted as: t x(t) t o 0 A
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L04_modulation - Modulation Wireless communication...

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