Consider an AM system with the message signal m(t) shown below. The modulated signal is given...
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....
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. 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...
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 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 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...
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...
1. FM modulation. Consider a message signal m(t)-(2nt and a carrier wave c(t)-cos(400rt) (a) (20 points) Derive the FM modulated signal s(t) for ky-2 (b) (25 points) Find the Fourier transform, S(), of s(t) (Sketch to scale). (c) (5 points) What is the bandwidth of the modulated signal s(t).