Power Spectrum of AM A baseband message signal is given byWn (t)-5 cos 2π 2500t +...
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
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]
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
When the message signal m (t) =cos (2π fmt) and the carrier signal is c(t)=cos (2π fct) , fm<< fc, The modulated DSB-SC signal SDSB-SC=m(t)cos(2πfct) is generated, and only the upper sideband To generate and transmit the SSB signal. As shown in the figure below, the receiver is a local oscillator cosine signal to the received signal and passes it through a low-pass filter. Answer the following questions. (a) Draw the waveform of DSB-SC modulated signal SDSB-SC(t) (b)Find the result...
For the baseband signal m(t) = cos(1000πt) cos(3000πt), do the following. (a) Sketch the spectrum of m(t) (b) Sketch the spectrum of the DSB-SC signal m(t)cos(10, 000πt). (c) Identify the upper sideband (USB) and the lower sideband (LSB) spectra. (d) Identify the frequencies in the baseband, and the corresponding frequencies in the DSB-SC, USB and LSB spectra. Explain the nature of frequency shifting in each case.
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...
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....
3(20%) Assume a message signal is given by m(t) = 4 cos(2π//) + cos(4π.t). Let x (t)-5m(t) cos(2t f t) + 5m(t) sin( 2 fct), where m(t) İs the Hilbert Transform of m(t). (10%) (a) Derive x(t) (10%) (b) Prove, by sketching the spectra, that x(t) is a lower-sideband SSB signal of m(t). 3(20%) Assume a message signal is given by m(t) = 4 cos(2π//) + cos(4π.t). Let x (t)-5m(t) cos(2t f t) + 5m(t) sin( 2 fct), where m(t)...
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.
3(20%) Assume a message signal is given by m(t) = 4 cos(2π//) + cos(4π.t). Let x (t)-5m(t) cos(2t f t) + 5m(t) sin( 2 fct), where m(t) İs the Hilbert Transform of m(t). (10%) (a) Derive x(t) (10%) (b) Prove, by sketching the spectra, that x(t) is a lower-sideband SSB signal of m(t).