![The following expression describes a carrier modulated by a sinusoidal message. $(t) = [4 + 2 cos (500nt)]cos (500004t) (a) N](http://img.homeworklib.com/questions/0e8bcd20-3bea-11eb-b191-1380e2ef0275.png?x-oss-process=image/resize,w_560)
Homework Answers
First the given modulated signal is compared with the general expression of AM. Since it matches, so the signal is an AM signal.
Now the given signal is compared with the general expression and different components are calculated as per the requirements of the question.
The detailed solution is given in the following images
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The following expression describes a carrier modulated by a sinusoidal message. $(t) = [4 + 2...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amp...
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amplitude spectrum, SPM(f), is shown below: Amplitude spectrum of the frequency modulated signal 2 -2 5000 4000 3000 2000 -1000 1000 2000 3000 4000 5000 frequency f [Hz] a) What is the carrier frequency fe? b) What is the message frequency fm c) What is the FM modulation index Bf? Is it a narrowband or a wideband signal? d) Using Carson's rule, estimate the transmission...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
Consider an AM system with the message signal m(t) shown below. The modulated signal is given...
Consider an AM system with the message signal m(t) shown below. The modulated signal is given by Φ AM (t)-2(b + 0.5m(r)]cos oat a) Determine the message power, sideband power, and the carrier power f6 points b) If b=2, find the modulation index μ and power efficiency 18 points) m(t) 2
1 2 4. The amplitude modulation signal is given by the following expression and is applied...
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4. The amplitude modulation signal is given by the following expression and is applied to 75 load. Vam(t) = 10 sin (21fct) - 2.5 cos (1500krt) + 2.5 cos (1450krt) V Determine: a) Modulation index b) The frequency of the carrier and the information signal c) The bandwidth d) The total power e) The transmission power efficiency be ar e 5. One of the inputs to a frequency modulator is a 250 kHz carrier signal with amplitude of...
Communication systemProblems 1. A 25 MHz carrier is modulated by a 400 Hz audio sine...
Communication systemProblems A 25 MHz carrier is modulated by a 400 Hz audio sine wave If the carrier voltage 4 V and the maximum deviation is 10 KHz, write the equation of this modulated wave for FM. If the modulating frequency is now changed to 2 KHz, all else remaining constant, write the new equation for FM2. In an FM system, when the audio frequency (AF) is 500 Hz and the AF voltage is 2.4 V, the deviation is 4.8 KHz....
an expression nM() for an AM signal with a carrier frequency of 2 MHz that conveys...
an expression nM() for an AM signal with a carrier frequency of 2 MHz that conveys a 1. (a) Write down sine wave message whose frequency is 2 peak-to-peak amplitude is 70 Volts. 500 Hz. The AM signal's modulation index is 0.75 and its (b) Compute the power efficiency n of this signal.
below is used to modulate a carrier to generate the AM signal yt) (Am()) cos(1000t) The periodic signal m() shown a) The power efficiency of the system is measured to be 1 () The type of AM modula...
below is used to modulate a carrier to generate the AM signal yt) (Am()) cos(1000t) The periodic signal m() shown a) The power efficiency of the system is measured to be 1 () The type of AM modulation, i.e. SSB, DSBSC, (i) The constant A. (ili) The modulation index 1/13. Determine DSB with carrier enit -3 b) An angle modulated signal is given by d(t-2 cos (2n1061+ sin 2 1000). Find i) The carrier frequency. ii) The baseband signal bandwidth....
A carrier signal c(?) = ? cos(??) is modulated by a single-tone signal ?(?) = ?...
A carrier signal c(?) = ? cos(??) is modulated by a single-tone signal ?(?) = ? ???(??) to form the AM signal: s(t)= [? + ????(??)]???(??), where ? = 10, ? = 2, ? = 1000 ??, ? = 50 ??. a- Obtain an expression for the sidebands of ?(?). b- Sketch ?(?) c- Sketch the spectra |?(?)|, |?(?)|, |?(?)| against f. d- Calculate the modulation index (m) e- What bandwidth is required to transmit the AM signal. f- Show...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
Question 4: (20 points) An FM signal is modulated with message m(t)Am cos(2Tmt). The measured amplitude spectrum, SPM(f), is shown below: Amplitude spectrum of the frequency modulated signal 2 -2 5000 4000 3000 2000 -1000 1000 2000 3000 4000 5000 frequency f [Hz] a) What is the carrier frequency fe? b) What is the message frequency fm c) What is the FM modulation index Bf? Is it a narrowband or a wideband signal? d) Using Carson's rule, estimate the transmission...
Consider an AM system with the message signal m(t) shown below. The modulated signal is given by Φ AM (t)-2(b + 0.5m(r)]cos oat a) Determine the message power, sideband power, and the carrier power f6 points b) If b=2, find the modulation index μ and power efficiency 18 points) m(t) 2
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4. The amplitude modulation signal is given by the following expression and is applied to 75 load. Vam(t) = 10 sin (21fct) - 2.5 cos (1500krt) + 2.5 cos (1450krt) V Determine: a) Modulation index b) The frequency of the carrier and the information signal c) The bandwidth d) The total power e) The transmission power efficiency be ar e 5. One of the inputs to a frequency modulator is a 250 kHz carrier signal with amplitude of...
Communication systemProblems A 25 MHz carrier is modulated by a 400 Hz audio sine wave If the carrier voltage 4 V and the maximum deviation is 10 KHz, write the equation of this modulated wave for FM. If the modulating frequency is now changed to 2 KHz, all else remaining constant, write the new equation for FM2. In an FM system, when the audio frequency (AF) is 500 Hz and the AF voltage is 2.4 V, the deviation is 4.8 KHz....
an expression nM() for an AM signal with a carrier frequency of 2 MHz that conveys a 1. (a) Write down sine wave message whose frequency is 2 peak-to-peak amplitude is 70 Volts. 500 Hz. The AM signal's modulation index is 0.75 and its (b) Compute the power efficiency n of this signal.
below is used to modulate a carrier to generate the AM signal yt) (Am()) cos(1000t) The periodic signal m() shown a) The power efficiency of the system is measured to be 1 () The type of AM modulation, i.e. SSB, DSBSC, (i) The constant A. (ili) The modulation index 1/13. Determine DSB with carrier enit -3 b) An angle modulated signal is given by d(t-2 cos (2n1061+ sin 2 1000). Find i) The carrier frequency. ii) The baseband signal bandwidth....
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
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