To generate an angle-modulated signal, u(t), a message signal, m(t), is used to frequency modulate a carrier signal, c(t), where m(t) = 5 cos(20000 t) and c(t) = 100 cos (2n fet). If the peak-frequency deviation is 20 kHz and fe = 100 MHz, determine: (1) (ii) (iii) (iv) an expression for the frequency modulated signal, u(t); the modulation index, 3, and the approximate bandwidth of the generated FM signal using Carson's rule; the amplitude of all signal components that have power level of at least 10% of the power of the unmodulated carrier component; the frequency of the signal components in c)(iii).
To generate an angle-modulated signal, u(t), a message signal, m(t), is used to frequency modulate a carrier signal, c(t), where m(t) = 5 cos(20000 t) and c(t) = 100 cos (2n fet). If the peak-frequency deviation is 20 kHz and fe = 100 MHz, determine: (1) (ii) (iii) (iv) an expression for the frequency modulated signal, u(t); the modulation index, 3, and the approximate bandwidth of the generated FM signal using Carson's rule; the amplitude of all signal components that have power level of at least 10% of the power of the unmodulated carrier component; the frequency of the signal components in c)(iii).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:To generate an angle-modulated signal, u(t), a message signal, m(t), is
used to frequency modulate a carrier signal, c(t), where
m(t) = 5 cos(20000nt)
and
c(t) = 100 cos (2π fet).
If the peak-frequency deviation is 20 kHz and fe = 100 MHz, determine:
(1)
(ii)
(iii)
(iv)
an expression for the frequency modulated signal, u(t);
the modulation index, 3, and the approximate bandwidth of the
generated FM signal using Carson's rule;
the amplitude of all signal components that have power level of at
least 10% of the power of the unmodulated carrier component;
the frequency of the signal components in c)(iii).
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