4.14 An FM modulator has f. = 2000 Hz and fa = 20 Hz/V. The modulator has input m(t) = 5 cos[2#(10)r]. %3D (a) What is the modulation index? (b) Sketch, approximately to scale, the magnitude spectrum of the modulator output. Show all fre- quencies of interest. (c) Is this narrowband FM? Why? (d) If the same m(t) is used for a phase modulator, what must k, be to yield the index given in (a)?

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4.14 An FM modulator has f. = 2000 Hz and få = 20
Hz/V. The modulator has input m(t) = 5 cos[2¤(10)t].
(a) What is the modulation index?
(b) Sketch, approximately to scale, the magnitude
spectrum of the modulator output. Show all fre-
quencies of interest.
(c) Is this narrowband FM? Why?
(d) If the same m(t) is used for a phase modulator,
what must k, be to yield the index given in (a)?
Transcribed Image Text:4.14 An FM modulator has f. = 2000 Hz and få = 20 Hz/V. The modulator has input m(t) = 5 cos[2¤(10)t]. (a) What is the modulation index? (b) Sketch, approximately to scale, the magnitude spectrum of the modulator output. Show all fre- quencies of interest. (c) Is this narrowband FM? Why? (d) If the same m(t) is used for a phase modulator, what must k, be to yield the index given in (a)?
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