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Consider an LTI system for which the input rn] and the output yin] satisfy the linear onstant-coefficient difference equation 2 Please determine the algebraic equation system function H(). (5 poi...
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation 3y[n] – 7y[n – 1] + 2y[n – 2] = 3x[n] – 3x[n – 1] (2.1) The fact that sequences x[ ] and y[ ] are in input-output relation and satisfy (2.1) does not yet determine which LTI system. a) We assume each possible input sequence to this system has its Z-transform and that the impulse response of this system also has its Z-transform. Express the...
can you please post the answer thanks FE yIn] x[n] -2 3. Given the causal LTI system with signal flow graph as shown (a) Determine the system function H(z) (5) (b) Determine the minimum multiply l...
can you please post the answer
thanks
FE yIn] x[n] -2 3. Given the causal LTI system with signal flow graph as shown (a) Determine the system function H(z) (5) (b) Determine the minimum multiply linear constant coefficient /O difference equation relating y[n] with x[n]. (10) EENG751 5/13/2019
FE yIn] x[n] -2 3. Given the causal LTI system with signal flow graph as shown (a) Determine the system function H(z) (5) (b) Determine the minimum multiply linear constant coefficient /O...
Consider a causal LTI system whose input xn] and output y[n] are related by the differenoe equati...
Consider a causal LTI system whose input xn] and output y[n] are related by the differenoe equation yn In--n] a. Find the impulse response of the system (without using any transform). (5 marks) b. Using convolution determine yin, 1f XIn = 1 un.(6 marks
Consider a causal LTI system whose input xn] and output y[n] are related by the differenoe equation yn In--n] a. Find the impulse response of the system (without using any transform). (5 marks) b. Using convolution...
please show detailed work/proof 3. The input and output of a causal LTI system satisfy the...
please show detailed work/proof
3. The input and output of a causal LTI system satisfy the following difference equation (d.e.) y[n] = ayln-1] + x[n]-a"x[n-N], N > 0 a. Determine the impulse response h[n]. Hint: solve it iteratively starting from n=0, 1, , n=N+1; x[n] = δ[n] then think what is y[n] ? b. Sketch the impulse response h[n] c. Is this an FIR or an IIR system? d. For what values of the parameter a is the system stable?
5. The figure below shows a system consisting of a continous- time LTI system followed by a sampler (, conver...
5. The figure below shows a system consisting of a continous- time LTI system followed by a sampler (, conversion to a sequence (, and an LTI discrete-time system. The continous-time LTI system is causal and satisfies the linear, constant-coefficient differential equation The input is a unit impulse a. Determine . (10 points) b. Determine the frequency response and the impulse response such that. (10 points). Conversiony(n) of %(t) w(n) inpuse train H(ew) to a sequence P(t) low shows a...
-1 -1 -1 yIn] -1 LTI systemas shown in the 4. Given a causal signal flow graph above where the coefficient r is real: (a) Determine the system function, H(z).(5) (b) Determine a minimummultiply I...
-1 -1 -1 yIn] -1 LTI systemas shown in the 4. Given a causal signal flow graph above where the coefficient r is real: (a) Determine the system function, H(z).(5) (b) Determine a minimummultiply I/O difference equation. (5) (c) Is the systemlinear phase? Yesor No and why! (10)
-1 -1 -1 yIn] -1 LTI systemas shown in the 4. Given a causal signal flow graph above where the coefficient r is real: (a) Determine the system function, H(z).(5) (b) Determine...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the...
a continuous time causal LTI system has a transfer function: H(s)=(s+3)/(s^2 +3s +2) a) find the poles and zeros b) indicate the poles and the zeros on the s-plane indicate the region of convergence (ROC) c) write the differential equation of the system. d) determine the gain of the system at dc (ie the transfer function at w=0) e) is the system described by H(s) stable? explain f) for the system described by H(s), does the Fourier transform H(jw) exist?...
please show steps 4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output...
please show steps
4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output relation described by the LCCDE: -2y(t) - y0) + 3x(t) + deco (O) = (a) (5 pts) Find the transfer function H(s) and write it in factored form. (b) (5 pt) Sketch the ROC corresponding to H(s) if it is known the system is causal. Mark the poles and zeros. (c) (5 pts) Sketch the ROC corresponding to H(s) if it is known the...
PROBLEM 7.3*: The diagram in Fig. 2 depicts a cascade connection of two linear time-invariant (LTI)...
PROBLEM 7.3*: The diagram in Fig. 2 depicts a cascade connection of two linear time-invariant (LTI) systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. [n] yi[n] y[n] LTI System #1 hin] LTI System #2 h2[1] Figure 2: Cascade connection of two LTI systems. (a) Suppose that System #1 is a "blurring" filter described by the following equation y1 [n] =arn-k] k=0 and...
Consider an LTI system whose input x[n] and output y[n] are related by the difference equation...
Consider an LTI system whose input x[n] and output y[n] are related by the difference equation y[n – 1] + 3 y[n] + $y[n + 1] = x[n]. Determine the three possible choices for the impulse response that makes this system 1) causal, 2) two-sided and 3) anti-causal. Then for each case, determine if the system is stable or not. Causality Impulse Response Stability Causal Unstable v two-sided Unstable anti-Causal Unstable y In your answers, enter z(n) for a discrete-time...
can you please post the answer
thanks
FE yIn] x[n] -2 3. Given the causal LTI system with signal flow graph as shown (a) Determine the system function H(z) (5) (b) Determine the minimum multiply linear constant coefficient /O difference equation relating y[n] with x[n]. (10) EENG751 5/13/2019
FE yIn] x[n] -2 3. Given the causal LTI system with signal flow graph as shown (a) Determine the system function H(z) (5) (b) Determine the minimum multiply linear constant coefficient /O...
Consider a causal LTI system whose input xn] and output y[n] are related by the differenoe equation yn In--n] a. Find the impulse response of the system (without using any transform). (5 marks) b. Using convolution determine yin, 1f XIn = 1 un.(6 marks
Consider a causal LTI system whose input xn] and output y[n] are related by the differenoe equation yn In--n] a. Find the impulse response of the system (without using any transform). (5 marks) b. Using convolution...
please show detailed work/proof
3. The input and output of a causal LTI system satisfy the following difference equation (d.e.) y[n] = ayln-1] + x[n]-a"x[n-N], N > 0 a. Determine the impulse response h[n]. Hint: solve it iteratively starting from n=0, 1, , n=N+1; x[n] = δ[n] then think what is y[n] ? b. Sketch the impulse response h[n] c. Is this an FIR or an IIR system? d. For what values of the parameter a is the system stable?
5. The figure below shows a system consisting of a continous- time LTI system followed by a sampler (, conversion to a sequence (, and an LTI discrete-time system. The continous-time LTI system is causal and satisfies the linear, constant-coefficient differential equation The input is a unit impulse a. Determine . (10 points) b. Determine the frequency response and the impulse response such that. (10 points). Conversiony(n) of %(t) w(n) inpuse train H(ew) to a sequence P(t) low shows a...
-1 -1 -1 yIn] -1 LTI systemas shown in the 4. Given a causal signal flow graph above where the coefficient r is real: (a) Determine the system function, H(z).(5) (b) Determine a minimummultiply I/O difference equation. (5) (c) Is the systemlinear phase? Yesor No and why! (10)
-1 -1 -1 yIn] -1 LTI systemas shown in the 4. Given a causal signal flow graph above where the coefficient r is real: (a) Determine the system function, H(z).(5) (b) Determine...
please show steps
4. (25 points) Laplace and LCCDE Systems Consider an LTI system with input-output relation described by the LCCDE: -2y(t) - y0) + 3x(t) + deco (O) = (a) (5 pts) Find the transfer function H(s) and write it in factored form. (b) (5 pt) Sketch the ROC corresponding to H(s) if it is known the system is causal. Mark the poles and zeros. (c) (5 pts) Sketch the ROC corresponding to H(s) if it is known the...
PROBLEM 7.3*: The diagram in Fig. 2 depicts a cascade connection of two linear time-invariant (LTI) systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. [n] yi[n] y[n] LTI System #1 hin] LTI System #2 h2[1] Figure 2: Cascade connection of two LTI systems. (a) Suppose that System #1 is a "blurring" filter described by the following equation y1 [n] =arn-k] k=0 and...
Consider an LTI system whose input x[n] and output y[n] are related by the difference equation y[n – 1] + 3 y[n] + $y[n + 1] = x[n]. Determine the three possible choices for the impulse response that makes this system 1) causal, 2) two-sided and 3) anti-causal. Then for each case, determine if the system is stable or not. Causality Impulse Response Stability Causal Unstable v two-sided Unstable anti-Causal Unstable y In your answers, enter z(n) for a discrete-time...
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