Problem No. 1: Let us consider that a baseband message signal m(t)=4cos(2000xt) has to be transmitted...
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) =...
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt). (a) Find X(f) (b) Find the DSB-SC signal x(t) and Xf). (c) Sketch the spectrums of |M(G| and |X(f)|. In the spectrum, identify the USB and LSB spectra. (d) Find the message signal power, m2(t). (e) Find the transmitted power, Sr x2(t). (f Find the massage signal bandwidth, B, and the transmitted signal bandwidth, Br. (g) Describe the demodulation process and find the detected...
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...
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....
8 8.6-4 For a DSB-SC system with a channel noise PSD of Sn() 10-12 and a baseband signal of bandwidth 5 kHz, the receiver output SNR is required to be at least 47 dB. The receiver is as shown in Fig. 8.30. (a) What must be the signal power Si received at the receiver input? (b) What is the receiver output noise power No? (c) What is the minimum transmitted power Sr if the channel transfer function is He)10-3 over...
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...
4. Given a modulating signal m(t) = 2cos (100nt) + 2cos (250nt) + 2sin (100nt) is modulated using AM SSB-SC using fe at 1000 Hz. (a) Draw by hand, the magnitude spectra of the modulated signal, retaining the Lower Sidebands, for the appropriate frequency range in Hz. (4) (b) Diagram and explain the demodulation and filtering process to retrieve m(t). (4) (c) What must be modified in the modulation and demodulation processes if you were to implement AM VSB vs....
In a DSB-SC amplitude modulation system, the message signal is m(t)=e^(-3t)*u(t-2) and the carrier signal is ???( 2000??). Find the Fourier transform of the modulated signal.
A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10²πt)) cos(106πt) volts. a) Plot the spectrum of the signal and calculate its bandwidth. b) Calculate the total signal power in dbm. c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency? d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform, Mout(f).
Using QAM we wish to transmit the following baseband message signals Bcos (w t a) Show the time and frequency domain expression for the transmitted signal. Also, plot the magnitude of the frequency domain representation of the signal. b) On the receiver end, we demodulate the received signal by multiplying with 2cos(Wet +Au). Derive the expression of the demodulated signal in the time domain, before low-pass filtering. c) Derive the Fourier Transform of the demodulated signal. Using QAM we wish...