Question: A CT signal x (t) has Fourier Transform shown below. Xc (jw) xc(t) - 6000 0 6000 The CT signal x, (t) is processed

A CT signal x (t) has Fourier Transform shown below. Xc (jw)

 

A CT signal x (t) has Fourier Transform shown below. Xc (jw) xc(t) - 6000 0 6000 The CT signal x, (t) is processed by the following system where p(t) = m =- 8 (t) is an ideal impulse trai p(t) 1 DT LTI System Xp (t) Conversion of x [n] impulse train to sequence W Ha (el) Ya [n] Conversion of Yp (t) sequence to impulse train If the sampling frequency fs is 10 kHz, a) (2) What is the unilateral bandwidth of xc (t) in ordinary frequency (in Hz)? b) (2) Will aliasing occur ? Explain your answer. CT Lowpass Filter g) (2) Specify three things that this DT LTI system does to the input xa[n]. h) (2) Sketch H(e) for 3. Show important values. i) (2) Sketch Ya (e) for | | 37. Show important values. j) (2) Sketch Y, (jw). Show important values. k) (2) Sketch Yc (jw). Show important values. 00 00 NIF NI Yc(t) c) (2) Sketch P(jw). Show important values. d) (2) Give the mathematical expression of Xp (jw) in terms of X, (jw). e) (2) Sketch Xp (jw). Show important values. f) (2) Sketch Xa(e) for | | 37. Show important values. The expression of DT LTI system is given by Ha(ein) ==-cou( + 0.3n-2kn) - u(-0.3 - 2kn).

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