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k2 k -oo \11,18 Consider an LTID system with the following impulse response: h[k sinc(3k/4). Determine...
Calculate the output y[k] of LTID system whose input, x[k], and impulse response, h[k], are as...
Calculate the output y[k] of LTID system whose input, x[k], and impulse response, h[k], are as follows; x[k] = (0.4)"u[k] h[k] = (0.8)"u[k - 1)
)n) The impulse response of an LTID system is h n]-(-er + b ( 4 is...
)n) The impulse response of an LTID system is h n]-(-er + b ( 4 is 2c0-Gn) when the input is cos (π n), what are the values of a and b? u[n]. If we know that the steady-state response
Recall the definition sinc(x) := sin(+2) for 3 ER Suppose a system's impulse response is given...
Recall the definition sinc(x) := sin(+2) for 3 ER Suppose a system's impulse response is given by h(t) = 800 sinc( 200 t). Determine the response of the system to the input signal cos(50t) + cos(400t). Show all your workings
4. Let h(t), (t), and y(t), for -oo < oo, be the impulse response function, the input, and the output of a linear ti...
4. Let h(t), (t), and y(t), for -oo < oo, be the impulse response function, the input, and the output of a linear time-invariant system, respectively. Give the following spectra: Input magnitude spectrum: Input phase spectrum: ex(2) T/2 Output magnitude spectrum: tY() Output phase spectrum: ey (2) / 2 Find H() from the above spectra and from the fact that H() 0 for not belonging to the interval (-2,2). Find the impulse response function h(t) from H() found above. Is...
Consider the LTI system described by the following impulse response: (a) h(n) = 2(0.5)n u(n). Determine:...
Consider the LTI system described by the following impulse response: (a) h(n) = 2(0.5)n u(n). Determine: (i) The system function representation; (ii) the difference-equation representation (Note: this is just terminology that refers to expressing the input and output time-domain signals in the form of an equation. E.g., what we did when we went over the equations for block diagrams); (iii) The pole-zero plot, sketched by hand; and (iv) the output y(n) if the input is x(n) = (0.25)n u(n) [10...
Consider an LTID svstem with system function H[2] b07-9716 (a) Determine the constant bo so that ...
Consider an LTID svstem with system function H[2] b07-9716 (a) Determine the constant bo so that the system 5.6-9 2+1 frequency response at S--п is-1 (b) Accurately sketch the system poles and zeros. (c) Using the locations of the system poles and zeros, sketch lHle'sıl over 0 < Ω < 2π. (d) Determine the response y[n] to the input x(n] = (-1 +j) +j" + (1-j) sin(Tn + 1). (e) Draw an appropriate block diagram representation of this system
Consider...
Problem 3.6 i) Compute the causal impulse response, h, and the anti-causal impulse response, h, for...
Problem 3.6 i) Compute the causal impulse response, h, and the anti-causal impulse response, h, for the system described by the input-output differential equation (D? + 9)y = (2D + 1)u. ii) Show that the anti-causal impulse response has a significant physical meaning: It is the autonomous output of a system that can be stopped (i.e. made equal to zero) by applying a Dirac-impulse 8(t) at the input. iii) How would an arbitrary solution in Sol (D2 +9), the set...
3-(10 points) Consider a C-T. LTI system given below X(t) - h(t) y(t) The impulse response...
3-(10 points) Consider a C-T. LTI system given below X(t) - h(t) y(t) The impulse response is h(t)=sinc(200t). We apply an input signal x(t)=sinc(100t) to produce the output y(t). Find and plot Y(m). Find y(t).
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n)...
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
Consider the LTI system with input ??(??) = ?? ?????(??) and the impulse response ?(??) =...
Consider the LTI system with input ??(??) = ?? ?????(??) and the
impulse response ?(??) = ?? ?2????(??). A. (3 points) Determine
??(??) and ??(??) and the ROCs B. (3 points) Using the
convolutional property of the Laplace transform, determine ??(??),
the Laplace transform of the output, ??(??) C. (3 points) From the
answer of part B, find ??(??)
9 points) Consider the LTI system with input x(t)eu(t) and the impulse response h(t)-e-2u(t) A. 3 points) Determine X(s) and H(s)...
Calculate the output y[k] of LTID system whose input, x[k], and impulse response, h[k], are as follows; x[k] = (0.4)"u[k] h[k] = (0.8)"u[k - 1)
)n) The impulse response of an LTID system is h n]-(-er + b ( 4 is 2c0-Gn) when the input is cos (π n), what are the values of a and b? u[n]. If we know that the steady-state response
Recall the definition sinc(x) := sin(+2) for 3 ER Suppose a system's impulse response is given by h(t) = 800 sinc( 200 t). Determine the response of the system to the input signal cos(50t) + cos(400t). Show all your workings
4. Let h(t), (t), and y(t), for -oo < oo, be the impulse response function, the input, and the output of a linear time-invariant system, respectively. Give the following spectra: Input magnitude spectrum: Input phase spectrum: ex(2) T/2 Output magnitude spectrum: tY() Output phase spectrum: ey (2) / 2 Find H() from the above spectra and from the fact that H() 0 for not belonging to the interval (-2,2). Find the impulse response function h(t) from H() found above. Is...
Consider an LTID svstem with system function H[2] b07-9716 (a) Determine the constant bo so that the system 5.6-9 2+1 frequency response at S--п is-1 (b) Accurately sketch the system poles and zeros. (c) Using the locations of the system poles and zeros, sketch lHle'sıl over 0 < Ω < 2π. (d) Determine the response y[n] to the input x(n] = (-1 +j) +j" + (1-j) sin(Tn + 1). (e) Draw an appropriate block diagram representation of this system
Consider...
Problem 3.6 i) Compute the causal impulse response, h, and the anti-causal impulse response, h, for the system described by the input-output differential equation (D? + 9)y = (2D + 1)u. ii) Show that the anti-causal impulse response has a significant physical meaning: It is the autonomous output of a system that can be stopped (i.e. made equal to zero) by applying a Dirac-impulse 8(t) at the input. iii) How would an arbitrary solution in Sol (D2 +9), the set...
3-(10 points) Consider a C-T. LTI system given below X(t) - h(t) y(t) The impulse response is h(t)=sinc(200t). We apply an input signal x(t)=sinc(100t) to produce the output y(t). Find and plot Y(m). Find y(t).
CONVOLUTION - Questions 4 and 5 4. Consider an LTI system with an impulse response h(n) = [1 2 1] for 0 <n<2. If the input to the system is x(n) = u(n)-un-2) where u(n) is the unit-step, calculate the output of the system y(n) analytically. Check your answer using the "conv" function in MATLAB. 5. Consider an LTI system with an impulse response h(n) = u(n) where u(n) is the unit-step. (a) If the input to the system is...
Consider the LTI system with input ??(??) = ?? ?????(??) and the
impulse response ?(??) = ?? ?2????(??). A. (3 points) Determine
??(??) and ??(??) and the ROCs B. (3 points) Using the
convolutional property of the Laplace transform, determine ??(??),
the Laplace transform of the output, ??(??) C. (3 points) From the
answer of part B, find ??(??)
9 points) Consider the LTI system with input x(t)eu(t) and the impulse response h(t)-e-2u(t) A. 3 points) Determine X(s) and H(s)...
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