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Question: q1 for the given the system below the frequency response...

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Q1) For the given the system below, the frequency response of the digital filter is equal to H(e) 1-esa whereas its input is equal tox (t) -2 + 3 cos(ω,t) + 4sin(02t) for-oo < t < 00, a) Given ω,-200π and ω,-4407, state and explain the Nyquist rate of this signal. b) Let the sampling rate be 1000Hz. Given ω1:500π and ω,-1500, sketch |X(e,n)I,W(ejn) l and IY,(ja) | c) For the same sampling rate 1000 Hz, now, let and be unknown and not equal to each other. Determine non- zero continuous-time frequencies o and o that cause the output signal y(t) to be zero for the inputxt). Pick 01 and 02 so that there is no aliasing.
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