A single-tone angle-modulated signal is given by ?(?) = 20cos[6 ∗ 108 ? + 40 sin(1000??)]...
A single-tone angle-modulated signal is given by ?(?) = 20cos[6 ∗ 108 ? + 40 sin(1000??)] Assume that the function is an FM signal. Determine (a) the unmodulated carrier frequency, (b) the modulating frequency, (c) the modulation index, and (d) the maximum frequency deviation. Express all frequencies in hertz. (e) Determine the average power dissipated in a 50Ω resistor
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A single-tone angle-modulated signal is given by ?(?) = 20cos[6
∗ 108 ? + 40 sin(1000??)]...
P3 – An angle modulated signal is given by ?(?) = 80cos[2? ∗ 108 ? +...
P3 – An angle modulated signal is given by ?(?) = 80cos[2? ∗ 108 ? + 10 sin(4? ∗ 103 ?)] a) If the signal is a PM modulated signal, determine the maximum phase deviation. b) If the signal is a FM modulated signal, determine the maximum frequency deviation. c) Assume that the modulating frequency in the signal given is tripled, and the signal is an FM signal with the same frequency deviation. Write an equation for the signal.
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...
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....
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...
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 a narrow-band FM signal approximately defined by )A.coset-B,sin)sinff) 21, sm27,t)sin a) Determine the envelope of this modulated signal b) What is the ratio of the maximum to the minimum va...
Consider a narrow-band FM signal approximately defined by )A.coset-B,sin)sinff) 21, sm27,t)sin a) Determine the envelope of this modulated signal b) What is the ratio of the maximum to the minimum value of this envelope? Plot this ratio versus B, assuming Osps03. c) Determine the average power of the narrow-band FM signal, expressed as a percentage of the average power of the unmodulated carrier wave. Plot this result versus β, assuming 0 β 03.
Consider a narrow-band FM signal approximately defined...
Q2 The output signal of an angle modulator is given as V(t) = 6 cos(2000000net +...
Q2 The output signal of an angle modulator is given as V(t) = 6 cos(2000000net + 40 cos(2000xt) + 15cos (400nt)) (v) Determine the following: The average power of the signal. b) The carrier frequency of the signal. The instantaneous frequency of the signal. d) The instantaneous maximum frequency deviation of the signal. e) The wavefom of the message signal, assuming a frequency modulation (FM). f) The modulation index, assuming a FM. Is it a broadband FM or narrowband FM...
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...
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....
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....
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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...
Consider a narrow-band FM signal approximately defined by )A.coset-B,sin)sinff) 21, sm27,t)sin a) Determine the envelope of this modulated signal b) What is the ratio of the maximum to the minimum value of this envelope? Plot this ratio versus B, assuming Osps03. c) Determine the average power of the narrow-band FM signal, expressed as a percentage of the average power of the unmodulated carrier wave. Plot this result versus β, assuming 0 β 03.
Consider a narrow-band FM signal approximately defined...
Q2 The output signal of an angle modulator is given as V(t) = 6 cos(2000000net + 40 cos(2000xt) + 15cos (400nt)) (v) Determine the following: The average power of the signal. b) The carrier frequency of the signal. The instantaneous frequency of the signal. d) The instantaneous maximum frequency deviation of the signal. e) The wavefom of the message signal, assuming a frequency modulation (FM). f) The modulation index, assuming a FM. Is it a broadband FM or narrowband FM...
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...
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....
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