3.4-1 Signals g1(t) = 10*7(10*:) and g2(1) = 8(1) are applied at the inputs of the ideal low-pass filters H1(f) = I(f /20,000) and H2(f) = IIf/10,000) (Fig. P3.4-1). The outputs y (t) and y2(t) of these filters are multiplied to obtain the signal y(1) = y1(t)y2(1). %3D (a) Sketch G1 (f) and G2(f). (b) Sketch H1(f) and H2(f). (c) Sketch Y1 (f ) and Y2(f).

Introductory Circuit Analysis (13th Edition)
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3.4-1 Signals g1(t) = 1047(10*:) and g2(1) = 8(1) are applied at the inputs of the ideal low-pass
filters H1 (f) = 1f /20,000) and H2(f) = I1(f/10,000) (Fig. P3.4-1). The outputs y (t) and
y2(t) of these fiters are multiplied to obtain the signal y(!) = y1(t)y2(f).
(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 (t), and y(t).
8, (1)
3 (7)
y (t) = y, () y,(t)
8,(1)
½ (1)
H(f)
Transcribed Image Text:3.4-1 Signals g1(t) = 1047(10*:) and g2(1) = 8(1) are applied at the inputs of the ideal low-pass filters H1 (f) = 1f /20,000) and H2(f) = I1(f/10,000) (Fig. P3.4-1). The outputs y (t) and y2(t) of these fiters are multiplied to obtain the signal y(!) = y1(t)y2(f). (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 (t), and y(t). 8, (1) 3 (7) y (t) = y, () y,(t) 8,(1) ½ (1) H(f)
2.1-3 Find the power of a sinusoid C cos (@nt + 6).
2.1-4 Show that if wj = w2, the power of g(t)
C; cos(w t + 01) + C2 cos(@zi + O2) is [C1? +
C22 + 2C, C2 cos(61 – 02)]/2, which is not equal to (C1? + C2?)/2.
2.2-1 Show that an exponential e-ar starting at -o is neither an energy nor a power signal for any
real value of a. However, if a is imaginary, it is a power signal with power Pg = 1 regardless of
the value of a.
Transcribed Image Text:2.1-3 Find the power of a sinusoid C cos (@nt + 6). 2.1-4 Show that if wj = w2, the power of g(t) C; cos(w t + 01) + C2 cos(@zi + O2) is [C1? + C22 + 2C, C2 cos(61 – 02)]/2, which is not equal to (C1? + C2?)/2. 2.2-1 Show that an exponential e-ar starting at -o is neither an energy nor a power signal for any real value of a. However, if a is imaginary, it is a power signal with power Pg = 1 regardless of the value of a.
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