draw the double sided spectrum for x(T)=sin(wt) , where f=10Hz
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Draw the double sided spectrum for: x(t)=1+sin(wt)+2cos(wt)+cos(2wt+(pi/4)) where f=20Hz, 40 Hz and 60Hz please show and explain all work.
draw the double sided spectrum for the signal given x(t)= 1+sin(2pi10t) + 2cos(2pi20t) + cos(3pi60t + pi/3)
1 Consider the chopper-sampled waveform in Eq. (3) with T/2, f 100 Hz, and x()- 2 2 cos 21T30t + cos 27T80t. Draw and label the one-sided line spectrum of x,(t) for 0 s f s 300 Hz. Then find the output waveform when x,(t) is applied to an ideal LPF with В 75 Hz.
1 Consider the chopper-sampled waveform in Eq. (3) with T/2, f 100 Hz, and x()- 2 2 cos 21T30t + cos 27T80t. Draw and label...
2. ( 15 ) Say x(t)s sin( 2rrIc t + Tr/3) de a. (5) Find RCt), the Hilbent ransform of x(C) b. (5) Find the analytic signal X,,(t)=2.1x(t)+D(t)]. c. (5) Find Xp (O) and draw the double-sided spectrum (amplitude and phase). stant
The sample function X(t) of a stationary random process Y(t) is given by X(t) = Y(t)sin(wt+Θ) where w is a constant, Y(t) and Θ are statistically independent, and Θ is uniformly distributed between 0 and 2π. Find the autocorrelation function of X(t) in terms of RYY(τ).
Prob 5 (continued): with message signal m(t): m(t) 10 cos(20mt) + 6 sin(60rt) (8 points) Write an equation (do not spend time simplifying! can be in terms of both sin0 and cos0 functions) for the LSB-SSB signal if the message signal is modulated by carrier at 100 Hz: e. (6 points) Sketch the double-sided magnitude spectrum for the LSB-SSB signal (you do not necessarily need the equation from part (d) to draw this, you can go off your knowledge of...
define x(t)= 2cos(wt +5) + 8cos(wt+9)+4cos(wt), where the phases have units of radians. Expressx(t) in form x(t)= Acos(wt+phi) (b) Determine the values of the parameters(w,phi,A) in the equation 9cos(wt+phi) = Ae^(j8t+jphi) + Ae^(-j8t+j2pi/3)
QUESTION 6 Following circuit is a half-wave rectifier. Assume Vs(t) = Vp sin (wt) where Vp = 19 V, w=2nf and f=60 Hz. Also assume C = 415 F and R = 844 , and on-voltage Von = 1 V for the diode. Calculate the ripple voltage, Vr, at the output of the rectifier. Vout
Question 1: (Sampling and Aliasing Effeet) (25 Marks) The given analog signal x(t)--sin(16xt)+ sin(11xt)+ sin (5nt), where t is in milliseconds, is sampled at a rate of 12kHz. The resulting samples are immediately reconstructed by an ideal reconstructor. a. Find and sketch the spectrum of x(t) versus Ω. b. Find and sketch the spectrum of the sampled signal versus o. c. Determine the analog signal x (t) at the output of the reconstructor. d. Prove the x(0) and x(t) having...
0and / is an odd function of t, find the Fourier sine sin wt d for 0<t< 1 10, (a) If f(t) = for t a 0 transform of f. Deduce thato s if0<t < a. What is the value of the integral for t2 a? for 0 < t < b (b) If g(t)-{ b-t and g is an even function of t, find the Fourier 0 cosine transform of g. Deduce that foo 1-w2bw cosa t dw =...