![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](http://img.homeworklib.com/questions/e0b9f6b0-4642-11eb-8289-d92b2bc16eff.png?x-oss-process=image/resize,w_560)
Homework Answers
![mit= cos(loolt) Take Carrien CIH) = AC COA (29TX1054) fc= 100khz. = 10513 Pe= 50w = Ach /Ac=10 volts] Carrier power index u =](http://img.homeworklib.com/questions/2b0c7980-4643-11eb-aeee-b791ac586f85.png?x-oss-process=image/resize,w_560)
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2. For a message sigual given by mit) = cos 1ooont and a carrier fc =...
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...
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) Determine the value of α when the modulation index is 100%. (b) Determine the value of α when the modulation index is 50%. (c) Determine the value of α when the modulation index is 200%. (6 marks) Continue from (1) and suppose α-05. Sketch the spectrum of the transmitted...
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...
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 m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an...
A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an LSB-AM signal. (a) Find and sketch the spectrum of m(t); determine and sketch the spectrum of mh (t) graphically; determine m,(t) by finding the inverse Fourier transform of the previous spectrum; determine the LSB-AM message signal expression. (b) Sketch the spectrum of the DSB-SC signal 2m(t) cos 2mfet; remove the upper sideband and sketch the resulting LSB spectrum; determine the LSB-AM message signal expression...
Assume that an AM transmitter is modulated with a video testing signal given by em(t) =...
Assume that an AM transmitter is modulated with a video testing signal given by em(t) = =20 + 60 sin (2πf1t), where f1 = 3.57 MHz. Let the carrier signal c(t) = Ac cos(2πfct), where Ac = 100 and fc = 100 MHz. The AM signal is fed into a 50-Ω load. (a) Derive an expression for the AM DSB-FC signal in time domain. (b) Construct the AM waveform, giving numerical values of the maximum amplitude, Amax and the minimum...
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...
Consider the following Amplitude Modulation (AM) signal given by
Consider the following Amplitude Modulation (AM) signal given by Xc(t)=Ac[1 + μx(t)]cos(wct) where x(t) is the message signal, and μ the modulation index. Also consider the following message signal x(t) for parts (a) and (b)' shown in Fig 1. a) Provide a sketch of the AM signal when the modulation index μ < 1. b) Provide a sketch of the AM signal when the modulation index μ = 1. c) Provide a sketch of the AM signal when the modulation index μ > 1. d) If the bandwidth...
5. A message signal m(t) = cos(2000πt)+2 cos(4000πt) modulates the carrier c(t) = 100 cos(2πfct), where...
5. A message signal m(t) = cos(2000πt)+2 cos(4000πt) modulates the carrier c(t) = 100 cos(2πfct), where fc = 1 MHz to produce the DSB signal m(t)c(t). ( 1. Determine the expression for the upper-sideband (USB) signal. 2. Determine and sketch the spectrum of the USB signal.
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...
1 2 4. The amplitude modulation signal is given by the following expression and is applied...
1
2
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 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) Determine the value of α when the modulation index is 100%. (b) Determine the value of α when the modulation index is 50%. (c) Determine the value of α when the modulation index is 200%. (6 marks) Continue from (1) and suppose α-05. Sketch the spectrum of the transmitted...
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...
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 m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an LSB-AM signal. (a) Find and sketch the spectrum of m(t); determine and sketch the spectrum of mh (t) graphically; determine m,(t) by finding the inverse Fourier transform of the previous spectrum; determine the LSB-AM message signal expression. (b) Sketch the spectrum of the DSB-SC signal 2m(t) cos 2mfet; remove the upper sideband and sketch the resulting LSB spectrum; determine the LSB-AM message signal expression...
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...
1
2
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...
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