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Category: digital signal processing

Category: digital signal processing

SYSTEM 4: Consider the discrete time system represented by the following difference equation:y(n) = x(n) - x(n-2) + 0.2 y(n-1) – 0.04 y(n-2)a) Draw the corresponding BLOCK DIAGRAMb) Obtain the TRANSFER FUNCTION, H(z) , for this system.

SYSTEM 4: Consider the discrete time system represented by the following difference equation:y(n) = x(n) – x(n-2) + 0.2 y(n-1) – 0.04 y(n-2)a) Draw the corresponding BLOCK DIAGRAMb) Obtain the TRANSFER FUNCTION, H(z) , for this system.

SYSTEM 3 : Consider the discrete time system represented by the following difference equation:y(n) = x(n) - x(n-2) + 0.8 y(n-1) – 0.64 y(n-2)a) Draw the corresponding BLOCK DIAGRAMb) Obtain the TRANSFER FUNCTION, H(z) , for this system.

SYSTEM 3 : Consider the discrete time system represented by the following difference equation:y(n) = x(n) – x(n-2) + 0.8 y(n-1) – 0.64 y(n-2)a) Draw the corresponding BLOCK DIAGRAMb) Obtain the TRANSFER FUNCTION, H(z) , for this system.

SYSTEM 2 : Consider the discrete time system represented by the following difference equation:a) Draw the corresponding BLOCK DIAGRAMb) Obtain the TRANSFER FUNCTION, H(z) , for this system.y(n) = x(n) – 2 x(n-1) + x(n-2) + 0.8 y(n-1) – 0.64 y(n-2)

SYSTEM 2 : Consider the discrete time system represented by the following difference equation:a) Draw the corresponding BLOCK DIAGRAMb) Obtain the TRANSFER FUNCTION, H(z) , for this system.y(n) = x(n) – 2 x(n-1) + x(n-2) + 0.8 y(n-1) – 0.64 y(n-2)

2. Consider a LIT system with the system function H(z) that has two poles p1, p2.

2. Consider a LIT system with the system function H(z) that has two poles p1, p2.

1. Consider a LTI system with the system function H(z). When answering the questions below, you must provide reasonings for your answers, YES or NO answers are not sufficient for full credit. (a) Suppose the ROC of H(z) is {z : |z| > 2}. Is the system causal? Is the system stable? (b) Suppose the ROC of H(z) is {z : |z| < 2}. Is the system causal? Is the system stable? (c) Suppose the ROC of H(z) is {z : 1 2 < |z| 1 2 }. Is the system causal? Is the system stable? (e) Suppose the ROC of H(z) is {z : |z| < 1 2 }. Is the system causal? Is the system stable?

1. Consider a LTI system with the system function H(z). When answering the questions below, you must provide reasonings for your answers, YES or NO answers are not sufficient for full credit. (a) Suppose the ROC of H(z) is {z : |z| > 2}. Is the system causal? Is the system stable? (b) Suppose the ROC of H(z) is {z : |z| < 2}. Is the system causal? Is the system stable? (c) Suppose the ROC of H(z) is {z : 1 2 < |z| 1 2 }. Is the system causal? Is the system stable? (e) Suppose the ROC of H(z) is {z : |z| < 1 2 }. Is the system causal? Is the system stable?

2. (15 points) Consider the following interconnections of LTI systems, where: (a). Determine h(n). (b). Is this systems BIBO stables? (c). Determine the response of this system to the input

2. (15 points) Consider the following interconnections of LTI systems, where: (a). Determine h(n). (b). Is this systems BIBO stables? (c). Determine the response of this system to the input

1. (15 points) Let x(n) = u(n + 1) - u(n - 4) and h(n) = u(n - 2) - u(n - 5). Compute the convolution y(n) = x(n) * h(n) analytically and graphically.

1. (15 points) Let x(n) = u(n + 1) – u(n – 4) and h(n) = u(n – 2) – u(n – 5). Compute the convolution y(n) = x(n) * h(n) analytically and graphically.

(15 points) Let x(n) = u(n + 1) - u(n - 4) and h(n) = u(n - 2) - u(n ...
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[2] consider the following sequence x(n) a. write an analytic representation of x(n) as a finite sum of discrete impulse functions

[2] consider the following sequence x(n) a. write an analytic representation of x(n) as a finite sum of discrete impulse functions

consider the following sequence x(n) a.write analytic representation of x(n) as a finite sum of discrete impulse function b.write an analytic representation of x(n) as a finite sum of discrete step functions

consider the following sequence x(n) a.write analytic representation of x(n) as a finite sum of discrete impulse function b.write an analytic representation of x(n) as a finite sum of discrete step functions

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