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A. Fourier Transform properties
(a) If x ( t ) is real and even, show that its Fourier transform is real for all ω (i.e., its imaginary part is identically 0).
(b) If x ( t ) is real and odd, show that its Fourier transform is imaginary for all ω (i.e., its real part is identically 0)
B.Discrete-time Fourier Transform (DTFT)
B. Compute the DTFT of the following signals:
(a) a [ n ] = δ [ n - 2] + δ [ n + 2]
(b) b [ n ] = u [ n ] - u [ n - 4]
(c) c [ n ] = ( sin (( π/ 4) n )/ πn ) ^2
A four-input summing amplifier has all input resistors at 10 k and the feedback resistor equal to 2.2 k. If the input voltages are all equal to 2 V, what is the output voltage
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1. For a triangular waveform, with a peak amplitude of 2V, a width of 10ms, and a period of 10 ms a. Draw the waveform. b. What do you think the average value will be for this waveform. c. Determine the average value - was it wh..
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