3. Sketch solutions (a) The signal x(t)-sint), for 0sts1; is applied to a circuit with an...
3. Sketch stuff (by hand or by computer) 3.1 Systems signals The signal x()-sin^t), for 0stsl; is applied to a circuit with an impulse response given by h(t)-2, for Osts1. Sketch these signals and the output of the circuit If the input signal is now set to x()-6(t-3), sketch the input and output signals. (3.2)
Problem 1. (10 points) The signal x()u(-2) is applied to the input of an LTI system whose impulse response IS h(1)=-rect |- 4 (a) Sketch x(t), h(t) and x(r)h(t - 7) (b) Determine y)-x(i)* h() for all possible values of (interval by interval).
1. (20 p) Compute and sketch the output y(t) of the continuous-time LTI system with impulse response h(t) = el-tuſt - 1)for an input signal x(t) = u(t) - ut - 3). 2. (20p) Consider an input x[n] and an unit impulse response h[n] given by n-2 x[n] = (4)”- u[n – 2] h[n] = u(n + 2] Determine and plot the output y[n] = x[n] *h[n].
The given input signal for 2.7.2 is: x(t) = 3 cos(2
π t) + 6 sin(5 π t).Plz explain steps.Given a causal LTI system described by the differential equation find \(H(s),\) the \(\mathrm{ROC}\) of \(H(s),\) and the impulse response \(h(t)\) of the system. Classify the system as stable/unstable. List the poles of \(H(s) .\) You should the Matlab residue command for this problem.(a) \(y^{\prime \prime \prime}+3 y^{\prime \prime}+2 y^{\prime}=x^{\prime \prime}+6 x^{\prime}+6 x\)2.7.2 The signal \(x(t)\) in the previous problem is...
I need a Matlab code example plz
1. Suppose x(t) -3u(t+3) - u(t)+ 3H(t-3) - 5H(t-6) a. Sketch x(t). b. For the signal x(t) given, determine and sketch the following signals: ,g(t) x(t-6) g2(t) - x(3t-6) ii. s(t) x(3t-6) +2 c. Create a MATLAB script that uses a function to express x(t), and plots x(t) in the time interval- 5 < t < 8s, using a time increment of At= 0.01s. Next, use the function to graph each of the...
6- A contiuous-time periodic signal x(t) is given graphically below. (a) Determine the exponential Fourier coefficients for k+oo a ()-ΣGeko, k-oo where c is given by T/2 1 (t)ek dt J-T/2 Ck= T (b) r(t) is applied as an input to an LTI system whose frequency response is H(ju)=2 sin(w Determine the corresponding output y(t) (e) Sketch y(t). Be sure to mark the axes properly -JT
6- A contiuous-time periodic signal x(t) is given graphically below. (a) Determine the exponential...
1. Consider the system shown in the figure below. The system is an integrator, in which the output is the integral: y(t)x()dr -00 Integrator x(t) y(t) (a) We may determine the impulse response h(t) by applying an impulse signal to the integrator, i.e. x(t) -5(t). What is the impulse response? Answer: (10 points) (b) The output of the integrator may be found by apply convolution method to determine the output. The convolution of the two signals is expressed a)ht -...
How to solve this in details?
Problem 1.3. Given the following signal x(t)= sint+ a 3 a) Determine all values of a so that x(t) is an even signal b) Determine all values of a so that x(t) is an odd signal
If of the input signal X(t) and output signal yl to a continuous - time linear time - invariant system - Y(t) = 5 to xc ej elt- el de o find the impluse response of the system hat) o If the input signal is x (t) = f(t) - f (t-1) find the output signal y ct) o Find the impulse response of the system hit) @ If the input signal Is x (t) = f(t)-f(t-1) find the -...
(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...