3-4) 3.4-2 Signals g₁(t) = 104П(104) and g2(t) = 8(t) are applied at the inputs of the ideal low-pass filters H₁(f)=(f/20,000) and H2(f) = П(f/10,000) (Fig. P3.4-2). The outputs y₁ (t) and y2(t) of these filters are multiplied to obtain the signal y(t) = y1 (1)y2(t). (a) Sketch G1(f) and G2(f). (b) Sketch H₁(f) and H₂(f). (c) Sketch Y₁ (f) and Y2(f). (d) Find the bandwidths of y₁ (t), y2(t), and y(t). 8₁ (1) H₁(f) y, (t) y(t) = y₁ (1) y2 (1) 82(1) ½⁄2 (1) H₂(f)

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3-4)
3.4-2 Signals g₁(t) = 104П(104) and g2(t) = 8(t) are applied at the inputs of the ideal low-pass
filters H₁(f)=(f/20,000) and H2(f) = П(f/10,000) (Fig. P3.4-2). The outputs y₁ (t) and
y2(t) of these filters are multiplied to obtain the signal y(t) = y1 (1)y2(t).
(a) Sketch G1(f) and G2(f).
(b) Sketch H₁(f) and H₂(f).
(c) Sketch Y₁ (f) and Y2(f).
(d) Find the bandwidths of y₁ (t), y2(t), and y(t).
8₁ (1)
H₁(f)
y, (t)
y(t) = y₁ (1) y2 (1)
82(1)
½⁄2 (1)
H₂(f)
Transcribed Image Text:3-4) 3.4-2 Signals g₁(t) = 104П(104) and g2(t) = 8(t) are applied at the inputs of the ideal low-pass filters H₁(f)=(f/20,000) and H2(f) = П(f/10,000) (Fig. P3.4-2). The outputs y₁ (t) and y2(t) of these filters are multiplied to obtain the signal y(t) = y1 (1)y2(t). (a) Sketch G1(f) and G2(f). (b) Sketch H₁(f) and H₂(f). (c) Sketch Y₁ (f) and Y2(f). (d) Find the bandwidths of y₁ (t), y2(t), and y(t). 8₁ (1) H₁(f) y, (t) y(t) = y₁ (1) y2 (1) 82(1) ½⁄2 (1) H₂(f)
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