Let X(t) be a two-sided exponentially decaying signal defined as follows: (See figure below) x(t) =...
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Let X(t) be a two-sided exponentially decaying signal defined as follows: (See figure below) x(t) = e-at t≥0 x(t) = - eat t<0 ais greater than zero. a. Determine the Fourler Transform X() b. Now, let the value of atend to zero. What happens to x(t) as lim x(t) 4-0 ? The resulting signal is called the signum function, sqn(t). What Is X(), the Fourler transform of lim x(t) a-0 c. Using the principle of time-frequency duality to determine the signal g(t) that corresponds to G(f) = - Jsgn(f) $ -3 eat u(-t) 3 2 -1 0 -2 -3 x(t) e-at u(t) 2 3 rt Let X(t) be a two-sided exponentially decaying signal defined as follows: (See figure below) x(t) = e-at t≥0 x(t) = - eat t<0 ais greater than zero. a. Determine the Fourler Transform X() b. Now, let the value of atend to zero. What happens to x(t) as lim x(t) 4-0 ? The resulting signal is called the signum function, sqn(t). What Is X(), the Fourler transform of lim x(t) a-0 c. Using the principle of time-frequency duality to determine the signal g(t) that corresponds to G(f) = - Jsgn(f) $ -3 eat u(-t) 3 2 -1 0 -2 -3 x(t) e-at u(t) 2 3 rt
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Modern Database Management
ISBN: 978-0133544619
12th edition
Authors: Jeff Hoffer, Ramesh Venkataraman, Heikki Topi
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