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Problem 13-4 This problem consists of 10 questions. Answers to parts a and b should both be sketched on the grid provided below. Label each number. (a) Sketch the complex number 21 = 2e- (b) Sketch the complex number 22 = 21. (21 is defined in part a.) Imaginary 0 Real (c) Determine the magnitude of the complex number 23-3+j4. ||23|= (d) Write the complex number 24 = 2e in rectangular form: 24= =e (e) How many solutions are there to the equation 223 e? You do not have to find the solutions; you just need to say how many solutions there are. Answer: (f) Consider the FIR filter described by the following difference equation: yn 2rn-k +10 k=-5 Is this system causal? Circle your answer: Causal Not Causal (g) Consider the signal r(t) = 5 + cos(2x (80)4). Which of the following sampling rates can be used to sample (!) without aliasing? Circle all sample rates that will work. 5 Hz 40 Hz 80 Hz 100 Hz. 200 Hz 320 Hz (h) The plot below shows the spectrum of the signal x(t): 4 3- 2 2.0 14.0 2.0 -10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 Frequency (Hz) Write an equation for (). x(t) = (i) Suppose that the frequency response of a discrete-time LTI system is H() Determine the output of the system when the input is [n] = " yn= = 2 + 2 cos(ŵ). (j) Consider a discrete-time FIR system defined by the following difference equation: 2 05-420 ynn-k] bo=1, b₁ = 3, b₂ = 5. k=0 Determine and sketch the impulse response h[n] of the system. Sketch of h[n]:

Problem 13-4 This problem consists of 10 questions. Answers to parts a and b should both be sketched on the grid provided below. Label each number. (a) Sketch the complex number 21 = 2e- (b) Sketch the complex number 22 = 21. (21 is defined in part a.) Imaginary 0 Real (c) Determine the magnitude of the complex number 23-3+j4. ||23|= (d) Write the complex number 24 = 2e in rectangular form: 24= =e (e) How many solutions are there to the equation 223 e? You do not have to find the solutions; you just need to say how many solutions there are. Answer: (f) Consider the FIR filter described by the following difference equation: yn 2rn-k +10 k=-5 Is this system causal? Circle your answer: Causal Not Causal (g) Consider the signal r(t) = 5 + cos(2x (80)4). Which of the following sampling rates can be used to sample (!) without aliasing? Circle all sample rates that will work. 5 Hz 40 Hz 80 Hz 100 Hz. 200 Hz 320 Hz (h) The plot below shows the spectrum of the signal x(t): 4 3- 2 2.0 14.0 2.0 -10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 Frequency (Hz) Write an equation for (). x(t) = (i) Suppose that the frequency response of a discrete-time LTI system is H() Determine the output of the system when the input is [n] = " yn= = 2 + 2 cos(ŵ). (j) Consider a discrete-time FIR system defined by the following difference equation: 2 05-420 ynn-k] bo=1, b₁ = 3, b₂ = 5. k=0 Determine and sketch the impulse response h[n] of the system. Sketch of h[n]:

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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I need help with this problem and an step by step explanation of the solution from the image described below. (Introduction to Signals and Systems)

Problem 13-4 This problem consists of 10 questions. Answers to parts a and b should both be sketched on the grid provided below. Label each number. (a) Sketch the complex number 21 = 2e- (b) Sketch the complex number 22 = 21. (21 is defined in part a.) Imaginary 0 Real (c) Determine the magnitude of the complex number 23-3+j4. ||23|= (d) Write the complex number 24 = 2e in rectangular form: 24= =e (e) How many solutions are there to the equation 223 e? You do not have to find the solutions; you just need to say how many solutions there are. Answer: (f) Consider the FIR filter described by the following difference equation: yn 2rn-k +10 k=-5 Is this system causal? Circle your answer: Causal Not Causal
Transcribed Image Text:Problem 13-4 This problem consists of 10 questions. Answers to parts a and b should both be sketched on the grid provided below. Label each number. (a) Sketch the complex number 21 = 2e- (b) Sketch the complex number 22 = 21. (21 is defined in part a.) Imaginary 0 Real (c) Determine the magnitude of the complex number 23-3+j4. ||23|= (d) Write the complex number 24 = 2e in rectangular form: 24= =e (e) How many solutions are there to the equation 223 e? You do not have to find the solutions; you just need to say how many solutions there are. Answer: (f) Consider the FIR filter described by the following difference equation: yn 2rn-k +10 k=-5 Is this system causal? Circle your answer: Causal Not Causal
(g) Consider the signal r(t) = 5 + cos(2x (80)4). Which of the following sampling rates can be used to sample (!) without aliasing? Circle all sample rates that will work. 5 Hz 40 Hz 80 Hz 100 Hz. 200 Hz 320 Hz (h) The plot below shows the spectrum of the signal x(t): 4 3- 2 2.0 14.0 2.0 -10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 Frequency (Hz) Write an equation for (). x(t) = (i) Suppose that the frequency response of a discrete-time LTI system is H() Determine the output of the system when the input is [n] = " yn= = 2 + 2 cos(ŵ). (j) Consider a discrete-time FIR system defined by the following difference equation: 2 05-420 ynn-k] bo=1, b₁ = 3, b₂ = 5. k=0 Determine and sketch the impulse response h[n] of the system. Sketch of h[n]:
Transcribed Image Text:(g) Consider the signal r(t) = 5 + cos(2x (80)4). Which of the following sampling rates can be used to sample (!) without aliasing? Circle all sample rates that will work. 5 Hz 40 Hz 80 Hz 100 Hz. 200 Hz 320 Hz (h) The plot below shows the spectrum of the signal x(t): 4 3- 2 2.0 14.0 2.0 -10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 Frequency (Hz) Write an equation for (). x(t) = (i) Suppose that the frequency response of a discrete-time LTI system is H() Determine the output of the system when the input is [n] = " yn= = 2 + 2 cos(ŵ). (j) Consider a discrete-time FIR system defined by the following difference equation: 2 05-420 ynn-k] bo=1, b₁ = 3, b₂ = 5. k=0 Determine and sketch the impulse response h[n] of the system. Sketch of h[n]:
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