1. True or False. (You have to justify your answer to gain credit; disproving statements generally requires providing co
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1. True or False. (You have to justify your answer to gain credit; disproving statements generally requires providing co
1. True or False. (You have to justify your answer to gain credit; disproving statements generally requires providing counter examples.) (a) (4 points) Not every signal can be classified into an energy signal or a power signal; some signals may be neither. (b) (4 points) If we wish to compress the signal æ(t) in time, we should multiply the indepen- dent (time) variable by a constant a that is larger than 1, i.e., construct z(at). (C) (4 points) An LTI system cannot be fully characterized by its step response (output due to a unit step input). (d) (4 points) A continuous time signal that is wide in the time domain cannot be also be wide in the frequency domain. (e) (4 points) One may compute the total energy of a continuous time signal in either the time or the frequency domain. (f) (4 points) Let 3 (t) be a signal whose CTFT does not exist, i.e., 8% X(t)e-jwtdt does not converge. Such signal can still have a Laplace Transform. (g) (4 points) The ROC of the Laplace Transform of a right-sided signal can be bounded in the s-plane. (h) (4 points) One fundamental difference between the DTFT and CTFT is that the DTFT is discrete in the frequency domain while the CTFT is continuous in the frequency domain. (i) (4 points) The DFT is a means to characterize the frequency components of a discrete-time signal without knowing its analytical expression. (1) (4 points) The ROC of the Z Transform is determined by the real value of the variable z.
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