Signals and Systems Indicate whether the following statements are true or false

Question

Signals and Systems

Indicate whether the following statements are true or false The Z transform is an extension of the continuous Fourier transform. T F Poles and Zeros are always real numbers T F Given X(s) = N(s)/D(s), "zero" is the value of s for which N(s) = 0 T F The region of convergence is the region of s for which the integral for laplace transform converges T F ROC of a signal X(z) consists of a circular strip around origin in Z plane T F The ROC of x[n] is the same as the ROC of x[-n] T F The laplace transform of delta(t) it 1/s T F

Explanation / Answer

Dear Student Thank you for using Chegg !!! a) z transform is an extension of continuous fourier form Solution FALSE Z Transform is a dicrete version of fourier transform b) poles and zeroes are always real number Solution FALSE No they can be imaginary also. Complex zeroes and poles are also observed c) X(s) = N(s) / D(s), zero is the value of s for which N(s) = 0 Solution TRUE d) region of convergence is the region of s for which the integral of laplace transform converges Solution TRUE range variation of for which the Laplace transform converges is called region of convergence. PS:- Kindly note that as per chegg policy we are allowed to answer maximum 4 sub parts of a given question at a time. Thank you !!

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