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2.8-1 A periodic signal g(r) is expressed by the following Fourier series: (x-) 27 g(t) = 3 sin t + cos + 2 cos (81 + 3) 3 (a) By applying Euler's identities on the signal g (r) directly, write the exponential Fourier series for g(1). (b) By applying Euler's identities on the signal g (t) directly, sketch the exponential Fourier series spectra.

2.8-1 A periodic signal g(r) is expressed by the following Fourier series: (x-) 27 g(t) = 3 sin t + cos + 2 cos (81 + 3) 3 (a) By applying Euler's identities on the signal g (r) directly, write the exponential Fourier series for g(1). (b) By applying Euler's identities on the signal g (t) directly, sketch the exponential Fourier series spectra.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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2.8-1 A periodic signal g(r) is expressed by the following Fourier series: (x -)+ 2л g(t) = 3 sin t + cos + 2 cos (81 + 3) 3 (a) By applying Euler's identities on the signal g (r) directly, write the exponential Fourier series for g(f). (b) By applying Euler's identities on the signal g (t) directly, sketch the exponential Fourier series spectra.
Transcribed Image Text:2.8-1 A periodic signal g(r) is expressed by the following Fourier series: (x -)+ 2л g(t) = 3 sin t + cos + 2 cos (81 + 3) 3 (a) By applying Euler's identities on the signal g (r) directly, write the exponential Fourier series for g(f). (b) By applying Euler's identities on the signal g (t) directly, sketch the exponential Fourier series spectra.
Problem 3.1-8: IG(f)| -B B B -B -B (a) (b) Hint: G(f) = IG(f)le#:C), For part (a), G(f) = 1.e-2nfio, fI < B, whereas for part (b), [le-ja/2 = -j 0 <f <B Gf) = | letm/2 = j 0 >f > -B 3.4-1 Signals g1(t) = 1047(10*:) and g2(1) = 8(1) are applied at the inputs of the ideal low-pass filters H1f) = nf/20,000) and H2(f) = I1f/10,000) (Fig. P3.4-1). The outputs y1 (f) and y2(t) of these fiters are multiplied to obtain the signal y(?) = 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). (d) Find the bandwidths of y1 (1), y2(t), and y(t). 8, () , () y (1) = y,() y,{) 8,(1) , (1)
Transcribed Image Text:Problem 3.1-8: IG(f)| -B B B -B -B (a) (b) Hint: G(f) = IG(f)le#:C), For part (a), G(f) = 1.e-2nfio, fI < B, whereas for part (b), [le-ja/2 = -j 0 <f <B Gf) = | letm/2 = j 0 >f > -B 3.4-1 Signals g1(t) = 1047(10*:) and g2(1) = 8(1) are applied at the inputs of the ideal low-pass filters H1f) = nf/20,000) and H2(f) = I1f/10,000) (Fig. P3.4-1). The outputs y1 (f) and y2(t) of these fiters are multiplied to obtain the signal y(?) = 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). (d) Find the bandwidths of y1 (1), y2(t), and y(t). 8, () , () y (1) = y,() y,{) 8,(1) , (1)
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