Q3) Consider the signal below x(t) = cos t + 0.5 cos(4t + 7/3) + cos(8t...
TT 1) Consider the following signal x(t) = -5 + 9 sin (61t + 3 cos(12nt) + V V7ej24nt a) (5 points) Write the complex exponential Fourier series for x(t). b) (5 points) Sketch the amplitude and phase spectra of x(t). c) (5 points) Find the total average power of the signal.
Given the following signal f(t) = 2j-4sin (100t-40)-10 cos (60t + π-70) a) Plot the one-sided amplitude and phase spectra. [8 Marks] Plot the two-sided amplitude and phase spectra. Calculate the power of the signal. Is the above signal periodic? If yes, find its period.
Given the following signal f(t) = 2j-4sin (100t-40)-10 cos (60t + π-70) a) Plot the one-sided amplitude and phase spectra. [8 Marks]
Plot the two-sided amplitude and phase spectra.
Calculate the power of the signal....
4. A periodic signal x (t) is represented by a trigonometrie Fourier series X(t) = 8 + 4 cos (2t + 60°) + 2sin (3t+30°) - cos (4t + 150°) = 0 * +30°) - cos (4t+150°) = 3 +4 Cos(216)+2 Cart ( 6) Col413 (a) Sketch the trigonometric Fourier series spectra (both magnitude and phase). O i 2 3 (b) Sketch the exponential Fourier series spectra (both magnitude and phase). + Dol -3 -2 -1 0 1 2 3...
Q2 Consider a communication signal x(t) described by the following mathematical expression: x(t)=2 cos(2000) + 4 sin? (2000) – 2+4rec(t)cos(6000mt) Analyse the communication signal x(t) then consider the following: (i) Determine the Fourier transform of the signal x(t). (ii) Plot the double-sided amplitude spectrum of the signal x(t).
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n] -xs(t) -x(nTs) is created by sampling x() with sampling interval, 2it 60 a) Plot the Fourier Transform of the sampled signal, i.e. Xs (jo). b) Plot the DTFT of the sampled signal, ie, X(eja) o) Repeat (a) with 7, 2π d) Repeat (b) with , 18
Consider the continuous time signal: 2. , π (sin (2t) (Sin (8t) A discrete time signal x[n]...
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...
3. An amplitude-modulated (AM) signal is given by s(t)-[12+7cos(π-π/3)]cos(13m). (a) Express s(t) in the form of A cos( +4)-A, cos(o,t + φ2) + A3 cos(wyt + φ3). (b) Sketch the amplitude and phase spectra of s(t)
the message signal input to the modulator is given as x(t)=4cos(2pi*10^4t) and the carrier Xc(t)=10cos(pi*10^8t) if freq modulation is performed with freq sensitivity as being kf=1000pi verify that the modulated signal Meets the criteria for being narrow band FM also obtain an expression for the modulated signal and its spectrum sketch the spectrum
3) Find the exponential Fourier series for the periodic signal x(t)= e 1/2 over the range 0..1, periodically continued. 4) Plot the amplitude and phase spectra of this signal. How do they compare to (2) above?
Find the instantaneous frequency of the next signal at t = 4. (a) x(t) = 10 cos[20xt+10 sin(t/4)) (b) x(t) = 262719) () X(t)=10[cos(2nt) cos(atº/4) + sin(24t) sin( nt/ 4)] Suppose that the information signal is as shown in the following figure. When each modulating this signal using 100KHz as the carrier frequency, find the frequency shift and phase shift when FM is modulated with 5,=10. What is the maximum frequency shift and maximum phase shift? 0.5+ -0.5 ost Suppose...