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A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt)....
Problem No. 1: Let us consider that a baseband message signal m(t)=4cos(2000xt) has to be transmitted from a location 'A' to its destination 'B' using a carrier signal given by c(t)=2cos(10000#t). The signal s() m(t)c(i) is the modulated signal which will be transmitted. Consider that the signal is transmitted through a noiseless channel and received at the receiver at location 'B' as the signal s(t). Based on this information, perform the following tasks. 1. Find, sketch and label the spectrum...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
4.4-4 Find LSR (t) and USB (1) for the modulating signal m(t) = 7B sinc (27 BI) with B = 2000 Hz and carrier frequency fe = 10,000 Hz. Follow these steps: (a) Sketch spectra of m(t) and the corresponding DSB-SC signal 2m(t) cos wcl. (b) To find the LSB spectrum, suppress the USB in the DSB-SC spectrum found in part (a). (c) Find the LSB signal LSB (t), which is the inverse Fourier transform of the LSB spectrum found...
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...
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.
Problem 2 (40 points) Suppose that the modulating (message) signal is m(t)-500si ne(4000πt) and the carrier frequency is o20000x rad/s (see the definition of the sinc function at the bottom of the next page). a) Write the mathematical expression of M(o) and sketch it (label the axes carefully). Let qDSB-Sc (t)-2m(t)cos.. Write the mathematical expression of φ)DSB-SC(w) and sketch it (label the axes carefully). b) c) Suppress the USB in the DSB-SC spectrum you sketched in (b) to find the...
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...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The modulated signal is u(t) = 200 m(t) cos(21tfct), where f=1 MHz. 1. Determine and sketch the spectrum of the AM signal. 2. Determine the average power in the frequency components 3. Find a resonable choice of R and C to design an envelope detector for this DSB-SC AM signal.
In a DSB-SC system, the carrier is c(t) = 2A sin (2πfct) and the message signal is given by m(t) = 2sinc(8t) + 4sinc^2 (8t). What is the frequency-domain representation and the bandwidth of the modulated signal?