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 of the message signal is W, what is the corresponding bandwidth Bτ of the AM signal.
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 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 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...
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...
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
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....
AMPLITUDE MODULATION 1. Study in time and frequency domains of AM signals This AM signal is represented below The x-axis has graduations in 10 seconds and y-axis has graduations in volts. 1.1 From this time display, find the values of Ach and μ. Give the name of these parameters. Comment on the waveform of the message signal, find its frequency f 1.2 Draw the amplitude spectrum IS(DI with a bilateral representation. Put graduations on the axes (in hertz and volt)....
3. The following is the amplitude spectrum of a DSB+carrier AM signal x(f) 1.5 1.5 1.5 1.5 f (Hz) 1920 2000 2080 2080 2000 1920 (a) (10 points) Determine the carrier frequency fe the carrier amplitude Ac the mod ulation index ,, and the message signal m(t) of the AM signal. (b) (10 points) Given that μ2Sm 0.18, find the output SNR (in dB) if the received signal includes white noise with a power spectral density of η/2-10-10 W/Hz. (c)...
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...