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Frequency Modulation Analysis
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[QUOTE="MYMLA, post: 5469928, member: 593614"] [h2]Homework Statement [/h2] A pure tone (sine) carrier signal of 440 Hz is frequency modulated by another sine wave with a frequency of also 440Hz. The amplitude of the modulating wave (The deviation) is 1760. The amplitude of the carrier is 1. (a) For the steady-state portion of the output signal generated by synthesis above, calculate: i) the deviation and ii) the Index of modulation. (b) For the steady-state portion of the output signal generated by synthesis above, calculate the frequency of the carrier and sideband partials. (c) For the steady-state portion of the output signal generated by synthesis above, and using the Bessel functions represented below, calculate relative amplitude of the carrier and sideband partials, allowing for aliasing. [h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] The deviation is 1760 as this is the amplitude of the modulator The index of modulation is the deviation/mod frequency = 1760/440 = 4Side bands = 440+fm, 440-fm, 440+2fm, 440-2fm, 440+3fm, 440-3fm……. As far as the deviation. (1760 above and below 440) So: First pair: 440+440 and 440-440 Second Pair: 440+880 and 440-880 Third pair: 440+1320 and 440-1320 Forth pair: 440+1760 and 440-1760 So we have side bands at: 880, 0, 1320, -440, 1760, -880, 2200, -1320 This is where I get stuck. How do I work out the amplitudes of these. How does aliasing effect them? [/QUOTE]
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Frequency Modulation Analysis
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