2. The signal m(t) = 3 cos 20000πt is fed to a VCO with quiescent frequency of 3 MHz and frequency sensitivity of 20 KHz/V. Denote the output of the VCO by y(t). (a) Derive the output y(t). (b) Determine the frequency deviation and the modulation index. (c) Derive the spectrum of y(t). What is the frequency separation of the adjacent side frequencies of this FM signal? (d) Provide an estimate of the bandwidth of y(t) (using Carson's rule). (e) The signal y(t) is passed through an ideal bandpass filter with center frequency 3.005 MHz and bandwidth 6kHz. Determine the amplitude spectrum of the output signal.

2. The signal m(t) = 3 cos 20000πt is fed to a VCO with quiescent frequency of 3 MHz and frequency sensitivity of 20 KHz/V. Denote the output of the VCO by y(t). (a) Derive the output y(t). (b) Determine the frequency deviation and the modulation index. (c) Derive the spectrum of y(t). What is the frequency separation of the adjacent side frequencies of this FM signal? (d) Provide an estimate of the bandwidth of y(t) (using Carson's rule). (e) The signal y(t) is passed through an ideal bandpass filter with center frequency 3.005 MHz and bandwidth 6kHz. Determine the amplitude spectrum of the output signal.

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...

See similar textbooks

Similar questions

1.An FM transmitter is determined to have a transmitter sensitivity of 203.314Hz/V. If the modulating signal is designed to be 13.158V, and the modulation index is kept to be at 5, solve for the peak voltage of the 1st sideband. if the carrier signal is determined to be Vc(t)=25sin(2π160000000t) 2.An FM transmitter is determined to have a modulation index of 5. If the carrier voltage is determined to have a peak voltage of 24.800Vp. Solve for the power transmitted in dBrnC of the highest sideband considering a transmitter antenna resistance of 116.204Ohms.
The carrier c(t) = 100 cos(2πft) is frequency modulated (FM) by the message signal m(t) = 5 cos( 20000πt), where f.= 100MHz. The peak-frequency deviation is 20 kHz. The modulated signal is a wide-band FM.1. Determine the amplitude and frequency of all signal components that have a power level of at least 10% of the power of the unmodulated carrier component.2. From Carson's rule, determine the approximate bandwidth of the FM signal.
An FM transmitter is determined to have a transmitter sensitivity of 203.314Hz/V. If the modulating signal is designed to be 13.158V, and the modulation index is kept to be at 5, solve for the peak voltage of the 1st sideband. if the carrier signal is determined to be Vc(t)=25sin(2π160000000t) An FM transmitter is determined to have a modulation index of 5. If the carrier voltage is determined to have a peak voltage of 24.800Vp. Solve for the power transmitted in dBrnC of the highest sideband considering a transmitter antenna resistance of 116.204Ohms. An FM transmitter is determined to have a transmitter sensitivity of 728.832Hz/V. Determine the percent modulation of the system if the modulating signal is determined to be Vm(t)=25sin(12566.3706t)Vm(t)=25sin⁡(12566.3706t).
4. short answers a. What is the effective antenna area of an antenna at 2500 MHz, if the gain is 13 dBi. b. For a WCDMA handset with 7 dB noise figure and 5 MHz effective noise bandwidth, calculate the noise floor in dBm. c. An NBA basketball player is close to 2 meters tall, and an “Umpa-Lumpa” from the movie “Willie Wonka” is 0.5 meters tall. Assuming 2-ray propagation model, what is the ratio of the signal strength received by the two people? d. Consider a 12-km microwave link with 15 meter towers at both ends, calculate the minimum frequency in GHz, such the first Fresnel zone does not intersect the ground? Assume that the ground is flat between the towers.
An FM transmitter is determined to have a transmitter sensitivity of 287.874Hz/V. If the modulating signal is designed to be 20.232V, determine the frequency iof this modulating signal if the modulation index is kept to be at 1.
Type your question here A given AM (DSB – LC) transmitter develops an unmodulated power output of 1 kW. Across 50Ω resistive load. When a sinusoidal test tone with a peak amplitude of 5? is applied to the input of the modulator, it is found that the spectral line for each sideband in the magnitude spectrum for the output is 40% of the carrier line. Determine the following quantities in the output signal: a-The modulation index. b-The peak amplitude of the lower sideband. c-The ratio of total side band power to carrier power. d-The total output power. e-The total average power in thr output if the peak amplitude of the modulation sinusoid is reduced to 4 volt.
The equation of an angle-modulated voltage is v = 10 sin (l08t + 3 sin 104,). What form of angle modulation is this? Calculate the carrier and modulating frequencies, the modulation index and deviation, and the power dissipated in a 100-ohm resistor.
What is the bandwidth of an AM signal whose carrier is 2.1 MHz modulated by a 1.5-kHz square wave with significant harmonics up to the fifth? Calculate all the upper and lower sidebands produced. (Our lesson is AMPLITUDE MODULATION FUNDAMENTALS)
An FM signal is described by s(t) = 100cos(2pi * 10 ^ 6 * t + 0.02sin(1000pi * t)) (a) Determine the instantaneous frequency f j (t);(b) Determine the frequency deviation 4 and the modulation index beta / (0) What is the approximate bandwidth of x(t) ; (d) In this a narrowband or wideband FM signal? Why?
In an FM broadcast transmitter, the carrier signal is being deviated between 103.505MHz and 103.495MHz, 1200 times/sec by a 5V sinusoid. a. determine the carrier frequency and intelligence signal frequency b. calculate percent modulation c. determine the amplitude of the modulating signal necessary to deviate the carrier between 103.507 and 103.493 MHZ, calculate the intelligence signal amplitude
In a FM system, a carrier of 100 MHz is modulated by a sinusoidal signal of 5 KHz. The bandwidth by Carson’s approximation is 1MHz. If y(t) = (modulated waveform)3 , then by using Carson’s approximation, what is the bandwidth of y(t) around 300 MHz and the spacing of spectral components ?
What is the bandwidth of an AM signal whose carrier is 2.1 MHz modulated by a 1.5-kHz square wave with significant harmonics up to the fifth? Calculate all the upper and lower sidebands produced? (Our lesson is AMPLITUDE MODULATION FUNDAMENTALS) (Please box the answer )