Introduction to Wireless Digital Communication
44. Consider the following passband sinc pulse signal: (t) = 2sind(2x 107t) cos (4.8 × 10-t) (a) ...
1. (2.5 2.5 5 points) Consider the real-valued passband signal zp(t) = xc(t)cos(27fet)-as(t) sin(27 fet) where, as usual, xe(t) and xs(t) are real-valued baseband signals with (real) bandwidth W/2. Let Ee, Es, Ep represent respectively, the energies of xp(t), xc(t), x,(t) W, show that f re(t) cos(4 fet)dt = J ,(t) cos(47fet) = 0. (a) Assume that fe (b) Show that Ep = Ec/2+ Es/2. Hint: Use trigonometric identities on
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
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) =...
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
Exercises: u used to the instructor b the end of next lab. 20 102 Plot the f(t)-sinc(20r) cos(300t)sinc (10t) cos(100t) Use the fast Fourier transform to find the magnitude and phase spectrum of the signal and plot over an appropriate range. Use appropriate values for the time interval and the sampling interval. Note that in Matlab sinc(x)-, so we need to divide the argument by n to make it match the given function. Le, sinc(20t/pi) Hint: Use the parameters from...
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...
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).
(1) Consider the following continuous-time signal: (1) 2ua(-t+t)ua(t), where its energy is 20 milli Joules (2 x 103Joules). The signal ra(t) is sampled at a rate of 500 samples/sec to yield its discrete-time counter part (n) (a) Find ti, and hence sketch ra(t). (b) From part (a), plot r(n) and finds its energy (c) Derive an expression for the Fourier transform of a(n), namely X(ew). (d) Plot the magnitude spectrum (1X(e)) and phase spectrum 2(X(e). (e) Consider the signal y(n)...
Q1. A single-tone FM signal which can be expressed as, s(t) = 4, cos[2oft+ß sin(21f „t)] is applied to a square-law device with output voltage v2 related to input voltage vi by vz(t)= av (t) where a is a constant. a. Determine analytic expression of the output signal. b. Explain how such a device can be used to obtain an FM signal with a greater frequency deviation (Af) than that available at the input. Q2. The spectrum of a message...
Problem 1: Consider the following time-invariant channel impulse response td and T are constants. a- Plot this impulse response and show the delay of each path. b- Find the power delay profile for this given channel. c- Find the rms delay spread by using the power delay profile d-Find the coherence bandwidth of this channel (assume 90% e- Find the frequency response of this channel and plot it f- If we send a pulse shown below with a duration of...