d. [4 pts] What is the region of convergence (ROC) for a causal signal with z- transform X(z) = 1 (z²-6z+25) -? = e. [4
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d. [4 pts] What is the region of convergence (ROC) for a causal signal with z- transform X(z) = 1 (z²-6z+25) -? = e. [4
d. [4 pts] What is the region of convergence (ROC) for a causal signal with z- transform X(z) = 1 (z²-6z+25) -? = e. [4 pts] If the Nyquist rate for sampling the band limited real signal x (t) is w₁ 10 rad/sec, then what is the Nyquist rate for sampling x(t)cos (20t) ? f. [4 pts] Please mark whether the following statements are true or false. i. If a continuous time signal's length is shrunk in time domain, the length of its Fourier Transform will increase in the frequency domain. (T/F) ii. If the amplitude of a continuous time signal is doubled, the magnitude of its Fourier Transform will also be doubled. (T/F)
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