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This document contains a quiz on digital signal processing concepts. The questions cover topics including analog-to-digital conversion, sampling theory, deterministic and random signals, and more. Answers are provided for each question.

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1. What is the purpose of analog-to-digital conversion? A. To convert discrete-time signals to analog B. To convert digital signals to analog C. To process analog signals by digital means D. To convert analog signals to continuous-time Answer: C 2. What is the term for the time inter...

1. What is the purpose of analog-to-digital conversion? A. To convert discrete-time signals to analog B. To convert digital signals to analog C. To process analog signals by digital means D. To convert analog signals to continuous-time Answer: C 2. What is the term for the time interval between successive samples? A. Sample interval B. Sampling rate C. Sampling frequency D. Sampling period Answer: D 3. What is the formula for calculating the sampling period in seconds? A. T = Fs B. t = 1/Fs C. t = Fs D. T = 1/Fs Answer: D 4. What is the characteristic of a signal that can be described by a mathematical expression or a well-defined rule? A. Discrete-time signal B. Deterministic signal C. Continuous-valued signal D. Random signal Answer: B 5. What type of signal would the output of a noise generator be classified as? A. Random signal B. Discrete-valued signal C. Deterministic signal D. Continuous-time signal Answer: A 6. What is the characteristic of a discrete-time signal that takes on a set of discrete values? A. It is a deterministic signal B. It is a random signal C. It is a continuous-valued signal D. It is a digital signal Answer: D 7. What is the primary difference between a deterministic signal and a random signal? A. The range of values they take on B. The type of mathematical expression used to describe them C. The level of uncertainty in their values D. The frequency of the signal Answer: C 8. What is the characteristic of a signal that can take on all possible values on a finite or infinite range? A. It is a discrete-valued signal B. It is a random signal C. It is a digital signal D. It is a continuous-valued signal Answer: D 9. What type of signal has its value as a function of a single independent variable? A. Multichannel signal B. Continuous-time signal C. M-dimensional signal D. One-dimensional signal Answer: D 10. What is the fundamental period of a sinusoidal signal? A. T = 1/F B. T = F/2 C. T = F D. T = 2F Answer: A 11. What is a signal of digital signal processing? A. A mathematical representation of a stimulus or force B. A method of extracting information from a signal C. A physical quantity that varies with time, space, or any other independent variable D. A physical device that performs an operation on a signal Answer: C 12. What is the purpose of a digital-to-analog (D/A) converter? A. To convert digital signals to analog signals B. To amplify analog signals C. To filter out noise from digital signals D. To convert analog signals to digital signals Answer: A 13. What is a characteristic of a deterministic signal? A. It can be described by an explicit mathematical expression B. It is unpredictable C. It has a random pattern D. It has a finite range Answer: A 14. What is a continuous-valued signal? A. A signal that takes on all possible values on a finite or an infinite range B. A signal that is unpredictable C. A signal that takes on values from a finite set of possible values D. A signal that can be described by an explicit mathematical expression Answer: A 15. What is an example of a deterministic signal? A. A signal described by an explicit mathematical expression B. A signal that is unpredictable C. The output of a noise generator D. A signal that takes on values from a finite set of possible values Answer: A 16. What is the z-transform of a discrete-time signal x defined as? A. An infinite power series B. A complex exponential function C. A linear combination of sinusoids D. A finite power series Answer: A 17. What is the relation between x and X in the z-transform? A. X is the time-domain representation of x B. x is the derivative of X C. X is the complex-plane representation of x D. x is the inverse of X Answer: C 18. What is the polar form of the complex variable z? A. z = θ*e^jr B. z = r*θ C. z = e^jr*θ D. z = re^jθ Answer: D 19. What is the inverse procedure of the z-transform called? A. The bilinear transform B. The inverse z-transform C. The direct z-transform D. The inverse fft Answer: B 20. What method of evaluating the inverse z-transform involves expanding into a series of terms in the variables z and z^(-1)? A. Partial-fraction expansion B. Contour integration C. Power Series Expansion D. Direct evaluation of inverse z-transform equation Answer: C 21. What is the issue with the z-transform of the causal signal 𝛼𝑛𝑢 and its anti-causal signal −𝛼𝑛𝑢? A. They have different regions of convergence. B. They have the same closed-form expression for the z-transform. C. They are not discrete-time signals. D. They have different closed-form expressions for the z-transform. Answer: B 22. What is the condition for the signal 𝑥 to be causal? A. The ROC is |𝑧| < |a| B. The ROC is |𝑧| > |a| C. The ROC is |𝑧| ≥ |a| D. The ROC is |𝑧| = |a| Answer: B 23. What is the relation between x[n] and X(z)? A. X(z) is the time-domain representation of x[n] B. X(z) is the inverse of x[n] C. X(z) is the z-transform of x[n] D. x[n] is the inverse z-transform of X(z) Answer: C

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