11. True of False: if two discrete time sequences have the same algebraic expres
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Question
11. True of False: if two discrete time sequences have the same algebraic expression when using Z transforms, then the two sequences must be the same? Why or why not is this true? 12. For continuous time signals, give two advantages that the Laplace transform provide over the Fourier transform . 13. A signal that is bandlimited in the frequency domain will be (write in the correct term) in the time domain. 14. What is the major difference between discrete time signal processing and digital signal processing? Why do we study discrete time signals instead of true digital signals when developing the theory? 15. What condition is necessary for a sampled signal to be used to accurately reconstruct the analog signal it sampled?'Explanation / Answer
11:
The z-transform of the signal is associated with both an algebraic expression and a region defining range of values of z known as the region of convergence for which the z-transformed expression is valid.Hence two different sequences can have same z-transform algebraic expression but they may only differ in the ROC.
Hence this statement is false
12.Due to its general nature, the laplace transform has a number of advantages over the fourier transform.
-Handling of large classes of signal is possible in Laplace transform as Laplace transforms also exists for signals which may not have fourier transform.The damping factor exp(-st) of the laplace transform allows us to transform a wider class of functions
-Simpler calculations is a second advantage of the laplace transform because laplace transform takes into account immediatly the value of initial condition in the problem
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