Fourier Application to Signal Modulation and Demodulation

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# Fourier Application to Signal Modulation and Demodulation - PowerPoint PPT Presentation

Fourier Application to Signal Modulation and Demodulation. 3.8 Kamen and Heck. 3.8.1 Amplitude Modulation. s(t) = Ax(t) cos(  c t) Acos(  c t)—carrier signal x(t) is the information signal Figure 3.31 Example 3.19—Figure 3.32

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### Fourier Application to Signal Modulation and Demodulation

3.8

Kamen and Heck

3.8.1 Amplitude Modulation
• s(t) = Ax(t) cos(ct)
• Acos(ct)—carrier signal
• x(t) is the information signal
• Figure 3.31
• Example 3.19—Figure 3.32
• The Modulation Property can be used to determine the Fourier Transform of the signal—Figure 3.33.
• S() = A/2 [X( + c) + X( - c)]
3.8.2 Alternative Form of AM
• s(t) = A[1 + k x(t)] cos(ct) (3.77)
• k is a positive constant called the amplitude sensitivity.
• 1 + k x(t) > 0 for all t
• Example 3.20—Fig. 3.34.
• S() = A [( + c) + ( - c)] + Ak/2 [X( + c) + X( - c)]
• DSB-SC vs. DSB