question archive Let a continuous time signal, x (), have a Fourier Transform with the property that X (jo) =0, for @ 2 2000m

Let a continuous time signal, x (), have a Fourier Transform with the property that X (jo) =0, for @ 2 2000m

Subject:Electrical EngineeringPrice: Bought3

Let a continuous time signal, x (), have a Fourier Transform with the property that X (jo) =0, for @ 2 2000m . The signal is sampled to form the discrete-time signal x [n]=x (n(0.5x10 ). For each the following conditions on the Fourier transform of x, [n], X (@ ), determine the corresponding condition on X (jo) . Hint: note the relationship between frequencies in the discrete time with their analog counterpart. a. X (e ) is real. b. The maximum value of X (e ) over all the values of @ is 1. c. X () is zero for 4 SOSA d. X (e) =X. (e"( =))

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