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2 Asume the following L.TI system and the input signal whose spectrum depicted below y(t) X(eb) X...
Please answer the signals and systems question clearly :) Assume the following LTI system and the...
Please answer the signals and systems question clearly :)
Assume the following LTI system and the input signal whose spectrum depicted below 2. x(t) Y(o) H(a) X(a) 2π 2π 3TT 3π Find x(t), Y(ω), and y(t) for each of the following filters. 3 2 0 2 f)
Suppose that for the LTI system depicted in the following figure (a), the impulse response and th...
Suppose that for the LTI system depicted in the following figure (a), the impulse response and the transfer function are given by h(t) = e-tu(t) H(S) = s+1 1 H 100 The input signal x(t) is the square wave of Figure (b), where t is in seconds. Since the fundamental period is To = 2π, the fundamental frequency is ao-2π/L = 1 rad/s and kaa-k. 3t (a) Use the Table provided to find the exponential Fourier series of the signal...
For Problems (9-10), use the continuous-time system depicted below which converts the input signal X(t) into...
For Problems (9-10), use the continuous-time system depicted below which converts the input signal X(t) into the corresponding output signal y(t) = {x()} = 10 x(t) u(t - 3). system y(t) = $ { x(t) } = 10 x(t) · u(t – 3). (9) (10 points) (a) Compute the formula for the Ramp Response, yramp(t) = { r(t)}. (b) Plot the Ramp Response. Label both axes. Give key values of time and amplitude. (10) (10 points) (a) Compute the formula...
5. Fourier Transform and System Response (12 pts) A signal æ(t) = (e-t-e-3t)u(t) is input to...
5. Fourier Transform and System Response (12 pts) A signal æ(t) = (e-t-e-3t)u(t) is input to an LTI system T with impulse response h(t) and the output has frequency content Y(jw) = 3;w – 4w2 - jw3 (a) (10 pts) Find the Fourier transform H(jw) = F{h(t)}, i.e., the frequency response of the system. (b) (2 pts) What operation does the system T perform on the input signal x(t)?
c) An excitation signal x(t) of frequency contents shown below is input to the communication system shown below Find and draw the output signal y(t) or Y(). # if the draw using MATLAB with the code w...
c) An excitation signal x(t) of
frequency contents shown below is input to the communication system
shown below Find and draw the output signal y(t) or Y().
# if the draw using MATLAB with the code will be better
c) An excitation signal x(t) of frequency contents shown below X(@) 2W 2W is input to the communication system shown below e(t) v(t) 0 -3w 3w cos(5wt) coe(3wt) Find and draw the output signal ) or Y(a).
c) An excitation signal...
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below,...
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)
If of the input signal X(t) and output signal yl to a continuous - time linear...
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 -...
Consider the following AM system x(t) z(t) y(t) H(a) 10ω -10 othwise 2cos (100t) Ifthe input signal x(t), the has a spectrum function, X(w), shown above, a) Write the expressions of r(w) and Z(w)...
Consider the following AM system x(t) z(t) y(t) H(a) 10ω -10 othwise 2cos (100t) Ifthe input signal x(t), the has a spectrum function, X(w), shown above, a) Write the expressions of r(w) and Z(w) in terms of X(w). b) Sketch the spectrums, x(ω), and r(a)Jdentify the LSE and USB components on the graphs? 14] 131 lain the type of AM modulation is the output z(03
Consider the following AM system x(t) z(t) y(t) H(a) 10ω -10 othwise 2cos (100t) Ifthe...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions a...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions are zero. a) Derive mathematical model of the system b Find unit step response c) Find the transfer function T(s) X2(s)/Fs) d) What is the final value of the output be. limx)-7) for F)- 4) Find the transfer function state space R(s) for each of the following sytems represented in a) 10 y-[1 0 0 b) 2 -3-8 3 -5 y-1 3 6 c)...
The input signal x(1) of the LTI system is given by the following relation x(t) =...
The input signal x(1) of the LTI system is given by the following relation x(t) = xo(1–17), where ,1)= 1 3/4 +2,05151 / and it is passed through a filter with frequency response given below: (-;,O< f 54 H(S)= ,-45 f<0 (0, otherwise Determine the power of the signal x. (t)
Please answer the signals and systems question clearly :)
Assume the following LTI system and the input signal whose spectrum depicted below 2. x(t) Y(o) H(a) X(a) 2π 2π 3TT 3π Find x(t), Y(ω), and y(t) for each of the following filters. 3 2 0 2 f)
Suppose that for the LTI system depicted in the following figure (a), the impulse response and the transfer function are given by h(t) = e-tu(t) H(S) = s+1 1 H 100 The input signal x(t) is the square wave of Figure (b), where t is in seconds. Since the fundamental period is To = 2π, the fundamental frequency is ao-2π/L = 1 rad/s and kaa-k. 3t (a) Use the Table provided to find the exponential Fourier series of the signal...
For Problems (9-10), use the continuous-time system depicted below which converts the input signal X(t) into the corresponding output signal y(t) = {x()} = 10 x(t) u(t - 3). system y(t) = $ { x(t) } = 10 x(t) · u(t – 3). (9) (10 points) (a) Compute the formula for the Ramp Response, yramp(t) = { r(t)}. (b) Plot the Ramp Response. Label both axes. Give key values of time and amplitude. (10) (10 points) (a) Compute the formula...
5. Fourier Transform and System Response (12 pts) A signal æ(t) = (e-t-e-3t)u(t) is input to an LTI system T with impulse response h(t) and the output has frequency content Y(jw) = 3;w – 4w2 - jw3 (a) (10 pts) Find the Fourier transform H(jw) = F{h(t)}, i.e., the frequency response of the system. (b) (2 pts) What operation does the system T perform on the input signal x(t)?
c) An excitation signal x(t) of
frequency contents shown below is input to the communication system
shown below Find and draw the output signal y(t) or Y().
# if the draw using MATLAB with the code will be better
c) An excitation signal x(t) of frequency contents shown below X(@) 2W 2W is input to the communication system shown below e(t) v(t) 0 -3w 3w cos(5wt) coe(3wt) Find and draw the output signal ) or Y(a).
c) An excitation signal...
(1) For the impulse response (h(t)) and input signal (x(t)) of an LTI system shown below, find and plot the output response (y(t)) by integrating the convolution analytically h(t) x(t) t (s)
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 -...
Consider the following AM system x(t) z(t) y(t) H(a) 10ω -10 othwise 2cos (100t) Ifthe input signal x(t), the has a spectrum function, X(w), shown above, a) Write the expressions of r(w) and Z(w) in terms of X(w). b) Sketch the spectrums, x(ω), and r(a)Jdentify the LSE and USB components on the graphs? 14] 131 lain the type of AM modulation is the output z(03
Consider the following AM system x(t) z(t) y(t) H(a) 10ω -10 othwise 2cos (100t) Ifthe...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions are zero. a) Derive mathematical model of the system b Find unit step response c) Find the transfer function T(s) X2(s)/Fs) d) What is the final value of the output be. limx)-7) for F)- 4) Find the transfer function state space R(s) for each of the following sytems represented in a) 10 y-[1 0 0 b) 2 -3-8 3 -5 y-1 3 6 c)...
The input signal x(1) of the LTI system is given by the following relation x(t) = xo(1–17), where ,1)= 1 3/4 +2,05151 / and it is passed through a filter with frequency response given below: (-;,O< f 54 H(S)= ,-45 f<0 (0, otherwise Determine the power of the signal x. (t)
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