Еxхample 1: Find the instantaneous frequency of the following waveforms, following this equation (f; (t) = fe + kfm(t)), and k,=1: (a) S(t) = Ac Cos [400 r t + 0.5 7] %3D (b) S:(t) = Ac Cos [1200 t t + sin ( 20 a t) ]

Еxхample 1: Find the instantaneous frequency of the following waveforms, following this equation (f; (t) = fe + kfm(t)), and k,=1: (a) S(t) = Ac Cos [400 r t + 0.5 7] %3D (b) S:(t) = Ac Cos [1200 t t + sin ( 20 a t) ]

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

Related questions

Q: For a FM signal v(t) = 20 cos ( 10 * 108t + 30 sin 3000t), calculate the power dissipated by the FM…

Q: 9.1 Given the sinusoidal voltage v(1) = 50 cos(30t + 10°) V, find: (a) the amplitude Vm. (b) the…

A: Consider the given voltage equation is of the form. V=Vmcosωt+θ

Q: A radio station transmits the signal s(t) = Vc sin [wct + mf sin wmt] !3D where Vc = 19 V %3D wc =…

A: The given expression is a frequency modulated signal expression Vc = 19 V mf = 63 mf =…

Q: two-stage system is given below. x(t) System 1 System 2 y(1) Equation of System 1: d²y(t) - y(t) = 2…

A: A continuous-time system(CTS) is one in which continuous-time input signals are transformed into…

Q: For the electric network shown, the frequency response function H(w) 10 mH mm + vi (t) 127 Svo(t) Ω…

A: Frequency response function is used to justify the response of system to excitation , normalised to…

Q: If the supply to a circuit is 25 sin 628.3t volts and the voltage drop across one of the component…

A: In this question we need to find a voltage drop across the remainder , supply frequency and time…

Q: For a FM signal v(t) = 15 cos ( 10 * 108t + 10 sin 1220t), calculate 1. Carrier frequency

A: Given information: The expression of the frequency modulated signal is given as…

Q: Q2) For the frequency modulated signal given below, find (a) instantaneous frequency (b) deviation…

A: Frquency Modulation : A FM system is a type of wireless gadget that assists persons with hearing in…

Q: A. An FM signal has the form S(t) = 50 Cos (2 a fe t + 8 Sin (2 z fm t)) Where f= 100 MHz, and fm =…

A: In the question, A FM signal s(t) = 50cos(2πfc t+ 8sin(2πfm t)) fc = 100Mhz and fm = 10Khz…

Q: For the rectangle signal x(t) given below in time domain, determine its x(t)+ 2 t 6 If a periodic…

Q: A modulating signal given by m(t) = 5 sin[4 x 10³t 10 π cos(2π × 10³t)] V s fed to a phase modulator…

A: Phase modulated signal is given as xpt=Acosωct+kpxt Where, x(t) is the modulating…

Q: An FM signal, EM = 2000 sin(27 x10*t+2sin z×1oʻt) is applied to a 50N antenna. Determine: - The…

A: The solution can be achieved as follows.

Q: The message signal m(t) is a periodic signal given below in Fig A. Assume that it is a DSB-AM: x(t)…

A: Modulation is the process of appending the information contained in a message signal to a high…

Q: Analyse the amplitude modulated wave represented by the expression: v = 5 (1 + 0.6 cos 6280 t) sin…

A: Given data, AM wave v=51+0.6cos6280tsin211×104t V

Q: A telephone cable has the following primary constants per loop -KM R=30 0, L-20 mH, C 0.06 F and…

A: Characteristic impedance- ZC=R+jωLG+jωC Ω where , ZC=Characteristic impedance R…

Q: For a FM signal v(t) = 20 cos ( 10 * 108t + 30 sin 3000t), calculate the power dissipated by

Q: When the information sign m(t)=2.Sin2000πt, the carrier c(t)=20.Cos(20000πt-π/3) sign is taken as…

A: Given : The information sign m(t)=2.Sin2000πt Am = 2 V Fm = 1000 Hz. Carrier Signal…

Q: Q1: An audio frequency signal 10 sin(2n×1000t) is used to amplitude modulate a carrier of 50…

A: In this question we will find frequency of side band , modulation index , bandwidth of AM signal...…

Q: A radio station transmits the signal s(t) = Vc sin [wct + mf sin wmt] %3D where Vc = 11 V WC =…

A: Here they have mentioned the radio station means FM signal. From the given data which can easily…

Q: Q5- If an information signal x( t)=cos(2π700t)+10cos (2π 5000t) . Write the formula of the frequency…

Q: The amplitude of 12πcos(300t) =12 True O False

A: We need to tell about whether the given statement is true or false

Q: A transmission line has a characteristic impedance of ? = 21.05∠60.4 with propagation constant of…

A: Given Characteristic impedance Z0=21.05∠60.4° ΩPropagation constant γ=7.561×10-3+j0.002863 Angular…

Q: 4. A transmission line has a characteristic impedance of Z = 21.05260.4º with propagation constant…

A: Z=21.05∠60.4° characteristic impedancePropagation constant=7.561×10-3+j0.002863ω=5000rad/secPrimary…

Q: Which of the following is incorrect when the information sign is m(t)=2.Sin2000πt, the carrier sign…

A: m(t)=2.Sin2000πt, the carrier sign is c(t)=20.Cos(20000πt-π/3) kp=π/2 rad/Volt and kf=1000π Hz/Volt

Q: 3.13. Consider a continuous-time LTI system whose frequency response is sin(40) H(jw) = h(t)e¯jot dt…

Q: Question 1 For a FM signal v(t) = 25 cos (100 10t + 10 sin 2000t), calculate maximum frequency…

A: Given, For FM signal vt=25cos100×108t+10sin2000t

Q: A single period of the magnitude and phase spectra of a discrete-time signal is given as follows:…

Q: A. An FM signal has the form S(t) = 50 Cos (2 1 fet + 8 Sin (2 a fm t)) Where fe= 100 MHz, and fm =…

Q: A. An FM signal has the form S(t) = 10 Cos (2 a fc t+ 4 Sin (2 n fm t)) Where fc = 200 MHz, and fm =…

A: In the question, Now A FM signal s(t) = 20cos(2πfc t+ 12sin(2πfm t)) fc = 400Mhz and fm = 20Khz…

Q: Question 2 What is the RMS value of x(t)? A signal x(t) has a period of 2 sec and is given as x(t) =…

A: Given signal x(t)x(t)=1n≤t<n+10n+1≤t<n+2For n=0,2,4,6......... The period of the signal is 2…

Q: Let a signal x(t) have a CTFT IFl 2 X (f) Let y(t) = x(4(t– 2)). Determine the values of the…

Q: An angle-modulated signal has the form: Determine: (i) (ii) (iii) u(t) = 100 cos (27107t + 4 sin…

Q: Find the correlation coefficient c, between the pulse x (1) and the pulses g; (t), i = 1, 2, 3, 4,…

Q: Let a(t) cos((t+ ) + 8,). (a) Determine the frequency in hertz and the period of x(t) for each of…

A: Given, x(t)=cos(ωxt+τx+θx) a) i) ωx=π3τx=0θx=2π

Q: For a FM signal v(t) = 20 cos ( 10 * 108t + 30 sin 3000t), calculate the power dissipated by the FM…

Q: The initals "Am" stand for amplitude modulation. Insted of fluctuating frequenices as above, they…

Q: a), with Consider the sum of harmonic motions *(t) = x, (t) + x2(t) = Acos (wt + x, (t) = 15 cos wt…

A: The solution is given

Q: Q2) The equation for FM wave is s(t) = 11 cos [559203492t + 166 cos 4078t] Find the following:…

Q: After traveling a distance of 20 m along a transmission line, the voltage wave remains 13% of it's…

A: We know the relationship between source amplitude and voltage amplitude at a distance .

Q: a the figure below, the input signal x(t) to an LTI system is a periodic signal ith period T and…

Q: Consider the periodic message signal x(t) shown below, where the period is 3 sec: x(t) 2 1 t (sec)…

Q: A telephone line has R= 30 /km, L = 100 mH/km, G = 0, and C = 20 µF/km. At f = 1 kHz, obtain: The…

Q: Consider a DSB-AM signal, r(t) [1 + kam(t)] cos 2 fot, where the message signal m(t) is a periodic…

A: Modulation is the process of varying the properties of a high frequency carrier signal in accordance…

Q: 1. An FM signal , 2000 sin(2n x 10®t + 2sin Tx 10°t), is applied to a 50 ohms antenna. Determine:…

Q: 1) (G-). x1(t) = 2 cos and r2(t) = 2 – 4 sin %3D %3D do the following: (a) Find the fundamental…

Q: Answer the following on a clean sheet of paper. Take a photo of your answer sheet then upload here.…

Q: P2.1 Let r(t) cos(,(t+ ) + 8,). (8) Determine the frequency in hertz and the period of r(t) for each…

A: 1.. The given signal can be rewritten as cos(wrt+wrτx+θx) The time period of the a signal is given…

Q: Let x(t) = 1+ sin(wot) + 2 cos(wot) + cos(2wot +) with wo as the fundamental frequency. Determine…

A: Solution: Given data: Here first of all we should calculate the fundamental frequency . Wf =…

Question

Еxample 1:
Find the instantaneous frequency of the following waveforms, following this
equati on (f; (t) = fe + kfm(t)), and k,=1:
(a) S(t) = Ac Cos [400 r t + 0.5 7]
%3D
(b) S:(t) = Ac Cos [1200 t t + sin ( 20 t t) ]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Communication system Let's consider a communication system where four signals with different frequencies f1, f2, f3, and f4) are combined to form a single composite signal. The composite signal is represented by the equation: s(t) = 3 sin(500m (k, x t) + T/6) + 4 sin (10007 (kz × t) + T/4) + 2 sin(1500t (k3 X t) + T/3) + 5 sin(2000m(k. X t) + /2) Given the scaling factors: kg = 0.8, kz = 1.6, k3 = 2.4, and k4 = 3.2. Determine the fundamental frequency
An FM transmitter delivers, to a 75-Ohm antenna, a signal of v = 1000 sin ( 10^9t + 4 sin 10^4t). Calculate the carrier and intelligence frequencies, power, modulation index, deviation, and bandwidth.
An FM transmitter delivers, to a 75-Ohm antenna, a signal of v = 1000 sin (10^9t + 4 sin 10^4t). Calculate the intelligence frequency, power, modulation index, deviation, and bandwidth.
DISCRETE TIME GIVEN SYSTEM.Determine the poles and zeros of this system, and show how they relate to each other.The system is only marginally stable True False Find the frequency response of this system. ( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).
An FM signal , 2000 sin(2π x 108t + 2sin πx 104t), is applied to a 50 ohms antenna. Determine: (a) The intelligence signal frequency. (b) The bandwidth (using the two methods) (c) The power in the largest and smallest side bands.
An interview is held with a student about the importance of education for thirty minutes at a radio station. It was later amplitude modulated & transmitted to receivers on the school campus.The expression below describes the transmitted signal a(z) a(z)= Acos(16πz) where A=3cos(10πz) a. In an expression form, express a(z) as a sum of sinusoids & determine the frequency components of the signal a(z)b. To adequately & fully recover the signal at the receiver, determine the rate at which the signal should be sampled.c. Determine the discrete signal,a[n] that was transmitted in a reduced form & the angular frequency assuming the signal a(z) is sampled at ten Hertz.
Given the AM wave equation: eAM = 60 sin 200,000πt + 7.5 cos 197,000πt – 7.5 cos 203,000πt, calculate the modulation index, percent modulation, amplitude of the modulating signal and the frequency of the carrier and modulating signal.
Communication Systems Consider the signal w(t) = 6cos(8pi t) + 2cos(4pi t) Calculate the rms value Wrms and the normalized average power Pw of the signal. Find and plot the power spectral density Pw (f ) of the signal. Find the autocorrelation function of w(t) . [Hint: 2cos x cos y = cos(x + y) + cos(x - y) ; 2cos2 x = (1+ cos 2x) ]
Q2) The equation for FM wave is s(t) = 11 cos [559203492t + 166 cos 4078t] Find the following: (iv) frequency deviation Δf in Hz (v) deviation sensitivity if the maximum amplitude of the message is 9V in HzV-1 (vi) power dissipated in 172Ω resistor (vii) Bandwidth of the FM Wave in HZ
The initals "Am" stand for amplitude modulation. Insted of fluctuating frequenices as above, they instead vary the amplitude, such that Y= A(t) sin [2pief]t. Notice that the frequency is now fixed, but the amplitude will be inconsistent. Each AM station is assigned a frequency in KHz (1,000 waves/second.) For example, 760AM is assigned a frequency of f=760kHz. What is the wavelength of the 760AM radio waves? Sketch of graph of y=2(exponent t) sin(t) and explain graphically what the amplitude is doing. The Bay of Fundy is between Maine and Nova Scotia, and it is famous for its high tides. There is a dock such that the water is 2ft deep at low tide and 58ft deep at high tide. High tide occurs 6 hours and 12 minutes after low tide. Draw a graph and create the equation that models that depth of water nd a function of time after high tide has occurred.
A non-periodic signal, s(t), is described as follows: s(t) = 1 for 0 ≤ t ≤ 1 sec s(t) = 0 otherwise. Find out an expression for the magnitude of the frequency spectrum, S(f), for s(t).
The rms antenna current for an AM transmitter increases by 15% over the unmodulated value when sinusoidal modulation applied. Find the depth of modulation. Use 4 decimal places for the final answer.