this course is signals and systems
this course is signals and systems Problem 2. (A05) For arbitrary w, express e(t) 4 cos(wt)...
solve the problem with clear hand writing Problem 5 Suppose that vi(t) = 90 cos(wt-15) and vz(t) = 50 sin (wt-60). Use phasors to reduce the difference vs(t) = vi(t) - V2(t) to a single term of the form Vm cos(wt+o). State the phase relationships between each pair of these phasors. (15 Points)
This is signals and systems course I need help in this table for system properties A. Continuous-Time Systems TI CausalMemoryless Linea yCe)ae-1)+2 y(r) 3x(t)cos (1) y(c) xe-1) + 1 no Yes y(c) te y(t) = 2 (t) y(t)-|x(t)l lnh dini no yes yes no no no yes Yes no n b -sin()x) y(c)-(2+sin()) x( yes yes no no yes r(1-1) 1x(1-1 10 10 t-D)10 y(t) = x(-t) (c)(2t) 3x(c) cos(t+ 1) no es no ho eo y(t) y(t) log (x(t)
Problem 3.10: Compute the Fourier transform of each of the following signals. si(t) = [e-ot cos(wot)]u(t), a > 0; zz(t) = e34 sin(24); 13(t) = e T -00 X5(t) = [te-2+ sin(4t)]u(t);
4. Plot the locus of E(0,t) for a plane wave with Ē (z,t) = î cos(wt+kz) +ŷ 1.3 sin(wt + kz) (V/m) Determine the polarization state from your plot. Determine the direction of propagation of the wave.
Find the Fourier Transform of the following signals: (a) x(t) = Sin (t). Cos (5 t) (b) x(t) = Sin (t + /3). Cos(5t-5) (c) a periodic delta function (comb signal) is given x(t) = (-OS (t-n · T). Express x(t) in Fourier Series. (d) Find X(w) by taking Fourier Transform of the Fourier Series you found in (a). No credit will be given for nlugging into the formula in the formula sheet.
Signals & Systems Course Question 2. The response of a system is for t 20 and zero otherwise. (a) Find the system's impulse response h(t). (b) When (t)-u(t), the corresponding output of the system is called unit-step response s(t). Find s(t) and calculate ds(t)/dt, what does this correspond to the result from (a).
Express the real part of the following signal in the form Ae-at cos(wt + ?) where a, co and ? are real and-? < ? 2. ? b. x(t) = je(4+/100)t L or a nower signal. Then
7. Single sideband (SSB) signals can be generated in two ways. In this problem you will verify that both methods give the same answer A. Selective filtering: Here, the DSB-SC signal g(t) is first generated which is filtered to get the USB signal g(t) m(t) QUSB(t) 2 cos(wet) Figure 3: Generation of SSB signals (a) Consider the message signal m(t) rad/sec. Draw the spectra of the signals m(t), g(t) and øUSB(t) in figure 3. cos(t) and a carrier frequency of...
Problem 3: Let x(n) be an arbitrary signal, not necessarily real valued, with Fourier transform X (w). Express the Fourier transforms of the following signals in terms of X() (C) y(n) = x(n)-x(n-1) (d) v(n) -00x(k) (e) y(n)=x(2n) (f) y n even n odd , x(n/2), (n) 0 Problem 4: etermine the signal x(n) if its Fourier transform is as given in Fig. P4.12. X(a) 0 10 10 10 X(o) 0 X(a) Figure P4.12 Problem 3: Let x(n) be an...
Problem 6. Find the Nyquist rate of the following signals (a) (t)= 1 cos(1000t)cos(3000t) sin(4000Tt) (b) r(t) пt