Figure 3 is the block diagram of Quadrature amplitude modulation (QAM). Mathematically derive and describe the modulated signals 4QAM(t); and the signals right before the low-pass filter (L.P.F.), x1(t) and x2(t). Describe how we can restore the original message signals, m₁(t) and m₂(t) from x₁(t) and x2(t), respectively, via passing through the L.P.F. m₁(1) Low-pass x₁(1) filter m₁(t) cos w 2 cos w Σ -π12 4QAM(1) -π12 sin w 2 sin w m₂(1) x2(1) Low-pass filter m2(t) Fig. 3: Quadrature Amplitude Modulation

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Figure 3 is the block diagram of Quadrature amplitude modulation (QAM).
Mathematically derive and describe the modulated signals 4QAM(t); and the signals right before
the low-pass filter (L.P.F.), x1(t) and x2(t). Describe how we can restore the original message
signals, m₁(t) and m₂(t) from x₁(t) and x2(t), respectively, via passing through the L.P.F.
m₁(1)
Low-pass
x₁(1)
filter
m₁(t)
cos w
2 cos w
Σ
-π12
4QAM(1)
-π12
sin w
2 sin w
m₂(1)
x2(1)
Low-pass
filter
m2(t)
Fig. 3: Quadrature Amplitude Modulation
Transcribed Image Text:Figure 3 is the block diagram of Quadrature amplitude modulation (QAM). Mathematically derive and describe the modulated signals 4QAM(t); and the signals right before the low-pass filter (L.P.F.), x1(t) and x2(t). Describe how we can restore the original message signals, m₁(t) and m₂(t) from x₁(t) and x2(t), respectively, via passing through the L.P.F. m₁(1) Low-pass x₁(1) filter m₁(t) cos w 2 cos w Σ -π12 4QAM(1) -π12 sin w 2 sin w m₂(1) x2(1) Low-pass filter m2(t) Fig. 3: Quadrature Amplitude Modulation
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