2 Amplitude Modulation When two musical notes are nearly the same pitch, one can hear "beats" – a periodic rise and fall in the volume of a single pitch. (a) Generate a plot of this phenomenon. Create – and submit – a graph of the waveform f(t) that results from superposition of two waves with similar frequencies. S1) = cos 21 t S:0) = cos 194 Time is measured in seconds. (b) Describe the significant features of your plot. What pitch would you hear – assuming humans can hear that pitch? At what frequency does the volume oscillate? In AM radio, a high-frequency carrier wave is combined with a low-frequency signal wave. The waves are not simply added together. Rather, the low frequency wave is used to modulate the amplitude of the high frequency wave. (c) Create – and submit – a graph of the waveform f(t) that illustrates this idea: 05 cos 201os 20

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2 Amplitude Modulation
When two musical notes are nearly the same pitch, one can hear "beats" – a periodic rise and fall in the volume of a
single pitch.
(a) Generate a plot of this phenomenon. Create – and submit – a graph of the waveform f(t) that results from
superposition of two waves with similar frequencies.
S1() = cos 21 1
S2(1) = cos 19t
S(1) = f1(W) + f2(1)
Time is measured in seconds.
(b) Describe the significant features of your plot. What pitch would you hear– assuming humans can hear that pitch?
At what frequency does the volume oscillate?
In AM radio, a high-frequency carrier wave is combined with a low-frequency signal wave. The waves are not simply
added together. Rather, the low frequency wave is used to modulate the amplitude of the high frequency wave.
(c) Create – and submit – a graph of the waveform f(t) that illustrates this idea:
F() = (1 + 0.5 cos 21) - cos 201
Time is measured in seconds.
(d) Describe the significant features of your plot. In what ways is it similar to the plot from part (a)?
In what ways is it different?
Transcribed Image Text:2 Amplitude Modulation When two musical notes are nearly the same pitch, one can hear "beats" – a periodic rise and fall in the volume of a single pitch. (a) Generate a plot of this phenomenon. Create – and submit – a graph of the waveform f(t) that results from superposition of two waves with similar frequencies. S1() = cos 21 1 S2(1) = cos 19t S(1) = f1(W) + f2(1) Time is measured in seconds. (b) Describe the significant features of your plot. What pitch would you hear– assuming humans can hear that pitch? At what frequency does the volume oscillate? In AM radio, a high-frequency carrier wave is combined with a low-frequency signal wave. The waves are not simply added together. Rather, the low frequency wave is used to modulate the amplitude of the high frequency wave. (c) Create – and submit – a graph of the waveform f(t) that illustrates this idea: F() = (1 + 0.5 cos 21) - cos 201 Time is measured in seconds. (d) Describe the significant features of your plot. In what ways is it similar to the plot from part (a)? In what ways is it different?
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