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engineering
mechanical engineering
april 2020
07

Mechanical Engineering Questions and Answers April 07, 2020

Expert-verified solutions to help you succeed

Consider an realvalued analog signal r(t) with a bandlimited spectrum X (2) (see Figure 3). This is sampled discretely with a sampling rate of 8 kHz (with no antialiasing). Sketch the resulting (aliased) spectrum X (w). X (jn) 3 2 1 0 0 1 5 6 Frequency kHz Figure 3 Analog spectrum X (2) 2 3 4 7 00 9 10

Suppose that a real sequence xn and its discretetime Fourier transform (DTFT) X (ew) are known. The sampling frequency is fr. At normalized angular frequency we 4 the DTFT X (e(4)) 12 32j. Determine the following a) The absolute value X (ej(4)). b) The complex angle X (e(4)). c) The value of the DTFT for we 4 using the fact that the sequence

Compute the discretetime Fourier transform (DTFT) for each of the given sequences using the following definition X (ew) xnejwn, w R. n1x Do this assignment without consulting transform tables. a) xn dn 2. b) xn 0.5un. cos an cos (n), where the DTFT of an is A (ejw). c) xn an

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