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M (t) = 2 sin (2 pi times 2 times 10^3 t) c (t) = 2 sin (2 pi times 100 times 10^3 t) y (t) = m (t) middot c (t) = 4 sin (2 pi times 2 times 10^3 t) middot sin (2 pi times 100 times 10^3 t) = 4 times 1/2 [cos (2 pi times (100 - 2) times 10^3 t) - cos (2 pi times 100 + 2) times 10^3 t)] y (t) = 2 [cos (2 pi times 98 times 10^3 t) - cos (2 pi times 102 times 10^3 t)] y (s) = 2 [1/2 [delta (f - 98 k) + delta (f + 98 k) - 1/2 (delta (f - 102 k) + delta (f + 102 k)]] y (s) = delta (f - 98 k) + delta (f + 98 k) - delta (f - 102 k) - delta (f + 102 k) \r\n spectrum of y (t) waveform of y (t) Note that the above timing axis are not scaled by the same amount.
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