please show all work and steps , thank you
please show all work and steps , thank you Exercise 3. Consider the continuous-time signal (t)...
I have no ideas how to start this question plz help a) Let v(t) be sampled using a train of impulses with period Ts, i.e. , Σ+0000 δ(t-n%), to obtain vs(t). Determine the range of values for Ts that allows perfect recovery of v(t) from v,(t). [4 marks] b) Find and draw, with labelling, the Fourier transform of w(t) [4 marks] c) Let w(t) be sampled using a train of impulses with period T," ie. , Ση nor δ( t-n7,)...
ints) A continuous time signal is given below: x(t) = 10 + 3 sin (20t + 3) + 5 cos(40π) This is sampled at t = 0.01 n to get a the discrete-time signal x[n], which is then applied to an ideal DAC to obtain a reconstructed continuous time signal y(t). a. i. Determine x[n] and graph its samples, using Matlab, along with the signal x(t) in one plot, plot a few cycles of x(t). ii. Determine the reconstructed signal,...
Please explain your steps. I really don't understand this. Exercise 2. Consider the continuous-time signal x(t) = ejwot. Signal x(t) is sent to the input of a first LTI system (System 1) with frequency response Hi(jw) = e-jwA. Let A and wo be constant positive real values. Let y(t) be the output signal of System 1. Signal y(t) is then sent to the input of a second LTI system (System 2) with frequency response H2(jw) = w. Let z(t) be...
10. Find the Fourier transform of a continuous-time signal x(t) = 10e Su(t). Plot the magnitude spectrum and the phase spectrum. If the signal is going to be sampled, what should be the minimum sampling frequency so that the aliasing error is less than 0.1 % of the maximum original magnitude at half the sampling frequency. 11. A signal x(t) = 5cos(2nt + 1/6) is sampled at every 0.2 seconds. Find the sequence obtained over the interval 0 st 3...
1. A continuous-time signal x(t) is obtained at the output of an ideal lowpass filter with cutoff frequency wc = 10007. If impulse-train sampling is performed on x(t), which of the following sampling periods would guarantee that y(t) can be recovered from its sampled version using an appropriate lowpass filter? (a) T=0.5x10-3 (b) T=2x10-3 (c) T=10-4
(a) The continuous-time signal x(t) with FT as depicted in the figure shown below is sampled. Sketch the FT of the sampled signal for the following sampling intervals: identify whether aliasing occurs, Ts = 1/12 X(jw) -117 107 W -10 0 117 97 97T (b) Determine the z-transform and ROC for the following time signals: x[n] = (4)"u[n] + (1)"u[ -– 1] Sketch the ROC, poles, and zeros in the z-plane.
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
Please answer the following fully with detailed justification/explanation. Thank you. Consider the signal e(t) (60m sin (50t) (a) Determine Xc(jw), the Fourier transform of e(t). Plot (and label) Xe(ju) b) What is the Nyquist rate for re(t)? (c) Consider processing the signal re(t) using the system shown below: Conversion to a Ideal to an e(t) y(t) impulse train Filter H-(ju) The sampling rate for this system is f DT filter is shown below 150 Hz. The frequency response of the...
P-3.8 Consider the signal ob d x (t) = 10 + 20 cos(21 (100)t + ) + 10 cos(21 (250)t) L (a) Using Euler's relation, the signal x(t) defined above can be expressed as a sum of complex exponential signals using the finite Fourier synthesis summation (3.37) Determine values for fo, N, and all the complex amplitudes, az. It is not necessary to evaluate any integrals to obtain ak. (b) Is the signal x(t) periodic? If so, what is the...
Please write neatly, readable and explain the steps please. Thank you. Consider a periodic, continous-time signal x(t) = sin(21500t) a) Find the Fourier series form of x(t) b) Find the Fourier transform of (t) using the Fourier series form of x(t) you found on (a) c) Throughly explain the formulation between Fourier series coefficients and Fourier transform.