Express the real part of the following signal in the form Ae-at cos(wt + ?) where...
Express the real part of the following signal in the form Ae-atcosωt+θ where A, a, ω and θ are real and -π<θ≤π xt= e-5tsin6t-π4 (4 points) xt= 9je-6+j400t (8 points)
4: An AM signal has the form s(t) = A (1 + il cos(mt) cos wet with wm <we and u <1. The signal is to be demodulated using the simple envelope detector shown in the following plot. AM sinal (a) Sketch v.(t) when wm <1/RC <we (b) Comment on suitability of such an envelope detector for demodulating an amplitude modu- lated signal: (i) With both sideband and full carrier as in the AM radio system. (ii) With full carrier...
2. Determine and sketch the spectrum, the Fourier transform, of x() where -2l +cos(0)+ jsin for -<t<
Find ao and the first five ak's and by's for the following signal. x(t) = 2 + t + t ; <t<tt
Consider the discrete-time signal given below. Ş ()", n20 X = 0 n < 0 where a=8. Find the average power Poo
is trans- 2. The rectangular signal z(t) = pz(t) = { | 1/2, -1<t<1 je mitted through the atmosphere and is reflected by different objects located at different distances. The received signal is y(t) = a(t) + 0.5x(t – 5) +0.25x(t – T'),T»2 Sketch y(t) for T = 10. (1)
The input to an envelope detector is a DSB-LC signal of the form (t) = A[1 + u cos 21 fmt] cos 2n fet where 0 <u < 1 and fc >> fm. If the envelope detector output is to follow the envelope of (t) at any time t, then the RC constant should satisfy the condition: 1+ u cos 21 fmt RC = 21fmu sin 21 fmt Show that for the above condition to be satisfied at all times,...
A particle moves in an elliptical orbit given by ?⃗=?cos???̂+?sin?? ?̂ where ? and ? are positive constants with ? < ?. Find the speed and acceleration of the particle as a function of time. At what time or times will the acceleration be perpendicular to the velocity? 4. A particle moves in an elliptical orbit given by * = b cos wt î+ c sin wt where b and c are positive constants with c < b. Find the...
Question. Consider () - ( cos(t), sin(t)) for 0 +< 2. Parameterine this curve by are length. Chat
note to self: Quiz5a1 Question 1: If cos(A) = ., where 35 <A< 27, and COS(B) = 5, where 0<B< , find cos(A+B). Answer: cos(A+B) =