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Consider an AM system. The message signal is given by cos(1000t) volts. The modulated signal is (0.5+acos(1000m))cos(2π.) volts, where α is a positive coefficient, and fe is the carrier frequency. (a...
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....
When a baseband signal m(t) = cos(1000t)cos(3000t) is AM modulated using a carrier cos(10,000t), a) Find the...
When a baseband signal m(t) = cos(1000t)cos(3000t) is AM modulated using a carrier cos(10,000t), a) Find the frequency components in the baseband signals and in the AM signal. [2] b) Sketch the spectrum, carefully label the graph. c) Find the power efficiency, n. [1] [1]
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
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...
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt)....
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt). (a) Find X(f) (b) Find the DSB-SC signal x(t) and Xf). (c) Sketch the spectrums of |M(G| and |X(f)|. In the spectrum, identify the USB and LSB spectra. (d) Find the message signal power, m2(t). (e) Find the transmitted power, Sr x2(t). (f Find the massage signal bandwidth, B, and the transmitted signal bandwidth, Br. (g) Describe the demodulation process and find the detected...
2. An audio frequency signal 10sin2π500t) is used to amplitude modulate a carrier of 50sin(2π 100...
Please solve whole this problem and be clear when you write by
your hand.
2. An audio frequency signal 10sin2π500t) is used to amplitude modulate a carrier of 50sin(2π 100000t). Assume modulation index-02. Find: a) the general AM equation b) Sketch the spectrum resulting AM [S(] c) Sideband frequencies d) Amplitude of each sideband e) Bandwidth required f) Efficiency of AM wave
2. An audio frequency signal 10sin2π500t) is used to amplitude modulate a carrier of 50sin(2π 100000t). Assume modulation...
4. (20%) An AM modulator operates with the message signal m(t) - 9 cos(207t)-8 cos(60!). The unmodulated carrier is...
4. (20%) An AM modulator operates with the message signal m(t) - 9 cos(207t)-8 cos(60!). The unmodulated carrier is given by 110 cos 200r), and the system operates with an index of 0.8. (10%) (a) Given that the minimum value ofm(t) is-12.9, write the equation for m, (t). and determine the power of m,(r) (i.e.. m,())) (b) Determine the efficiency of the modulator 5%) (500) (c) Sketch the double-sided spectrum of the modulator output AM signal.
4. (20%) An AM...
Power Spectrum of AM A baseband message signal is given byWn (t)-5 cos 2π 2500t +...
Power Spectrum of AM A baseband message signal is given byWn (t)-5 cos 2π 2500t + 4 cos 2π 5500. An AM waveform carrying this message g(t)-50[1 + μ m(t) mp]cos 2π5x 109, where mp s the peak value of m(t a) Plot (by hand) the power spectrum S (f) of the AM waveform g(t) with 0.6 (You can get help with this from the handout A Power Spectrum Primer. See the section "Finding the Power Spectrum of a Periodic...
2. For a message sigual given by mit) = cos 1ooont and a carrier fc =...
2. For a message sigual given by mit) = cos 1ooont and a carrier fc = 100kite] 2.1. Write an expression for an AM signal with 50 [w] of power in the carrier component and a modulation index of 50%. 2.2. sketch the signal pourt a.l.to scale versus stime 2.3. sketch the amplitude spectrum of the signal of part 2.1. to scale 2.4. Find the power in each of the frequency components for the signal in a.l. Hint: g6t) =...
Consider the message signal m(t):
Consider the message signal m(t):a. Sketch the AM signal u(t)=[ A + m(t) ] Cos(wct) for modulation indexes μ = 0.5 and μ = 2.0 by assuming the carrier frequency to be much higher than the bandwidth of m(t) b. Determine the efficiency percentage (η = ps/pt) for μ = 0.5. Herein, Ps and Pt are sideband and total powers respectively, and Pt= Ps + Pc , in which Pc is the carrier power. Hint : Take into account the Parseval's property. c. If the AM waveforms corresponding...
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....
When a baseband signal m(t) = cos(1000t)cos(3000t) is AM modulated using a carrier cos(10,000t), a) Find the frequency components in the baseband signals and in the AM signal. [2] b) Sketch the spectrum, carefully label the graph. c) Find the power efficiency, n. [1] [1]
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
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...
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt). (a) Find X(f) (b) Find the DSB-SC signal x(t) and Xf). (c) Sketch the spectrums of |M(G| and |X(f)|. In the spectrum, identify the USB and LSB spectra. (d) Find the message signal power, m2(t). (e) Find the transmitted power, Sr x2(t). (f Find the massage signal bandwidth, B, and the transmitted signal bandwidth, Br. (g) Describe the demodulation process and find the detected...
Please solve whole this problem and be clear when you write by
your hand.
2. An audio frequency signal 10sin2π500t) is used to amplitude modulate a carrier of 50sin(2π 100000t). Assume modulation index-02. Find: a) the general AM equation b) Sketch the spectrum resulting AM [S(] c) Sideband frequencies d) Amplitude of each sideband e) Bandwidth required f) Efficiency of AM wave
2. An audio frequency signal 10sin2π500t) is used to amplitude modulate a carrier of 50sin(2π 100000t). Assume modulation...
4. (20%) An AM modulator operates with the message signal m(t) - 9 cos(207t)-8 cos(60!). The unmodulated carrier is given by 110 cos 200r), and the system operates with an index of 0.8. (10%) (a) Given that the minimum value ofm(t) is-12.9, write the equation for m, (t). and determine the power of m,(r) (i.e.. m,())) (b) Determine the efficiency of the modulator 5%) (500) (c) Sketch the double-sided spectrum of the modulator output AM signal.
4. (20%) An AM...
Power Spectrum of AM A baseband message signal is given byWn (t)-5 cos 2π 2500t + 4 cos 2π 5500. An AM waveform carrying this message g(t)-50[1 + μ m(t) mp]cos 2π5x 109, where mp s the peak value of m(t a) Plot (by hand) the power spectrum S (f) of the AM waveform g(t) with 0.6 (You can get help with this from the handout A Power Spectrum Primer. See the section "Finding the Power Spectrum of a Periodic...
2. For a message sigual given by mit) = cos 1ooont and a carrier fc = 100kite] 2.1. Write an expression for an AM signal with 50 [w] of power in the carrier component and a modulation index of 50%. 2.2. sketch the signal pourt a.l.to scale versus stime 2.3. sketch the amplitude spectrum of the signal of part 2.1. to scale 2.4. Find the power in each of the frequency components for the signal in a.l. Hint: g6t) =...
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