- 3.4-3 Signals gi(t) = 103e-1000u(t) and g2 (t) = 8(1 100) are applied at the inputs of the ideal lowpass filters H₁(f) = (f/2000) and H₂) =II/1000) (Fig. P3.4-3). The outputs y₁ (7) and y2 (1) of these filters are multiplied to obtain the signal y(1) = y₁ (1)y2 (1). (a) Sketch G₁(f) and G₂(f). (b) Sketch H₁(f) and H₂(f). (c) Sketch Y₁(f) and Y₂ (f).

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3.4-3 Signals g₁ (t) = 10³e-1000u(t) and g₂ (7) = 8(1
100) are applied at the inputs of the ideal
lowpass filters H₁) = (f/2000) and H₂) = (f/1000) (Fig. P3.4-3). The outputs y₁ (1)
and y2 (1) of these filters are multiplied to obtain the signal y(1) = y1 (1)y2 (1).
(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 (1), y2 (1), and y(t).
8₂ (1)
H₂()
y (1) = y,(1) y₂@
Fig. P3.4-3
2
Transcribed Image Text:3.4-3 Signals g₁ (t) = 10³e-1000u(t) and g₂ (7) = 8(1 100) are applied at the inputs of the ideal lowpass filters H₁) = (f/2000) and H₂) = (f/1000) (Fig. P3.4-3). The outputs y₁ (1) and y2 (1) of these filters are multiplied to obtain the signal y(1) = y1 (1)y2 (1). (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 (1), y2 (1), and y(t). 8₂ (1) H₂() y (1) = y,(1) y₂@ Fig. P3.4-3 2
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