Shown in Figure P6.2-1 is the frequency response H(o) of a continuous-time filter referred to as...

   

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Shown in Figure P6.2-1 is the frequency response H(o) of a continuous-time filter referred to as a lowpass differentiator. For each of the input signals x(r) below, deter- mine the filtered output signal y(t). -3 |H(w) | 3n x(1) = لما jsin 2x1, 10, Figure P6.2-1 3r * H(w) FIN MICH 3x (a) x(1) <= cos (2π² -+- 0) (b) x(1) =cos (47r + 0) (c) x() is a half-wave-rectified sine wave of period 1, as sketched in Figure P6.2-2. m≤IS (m + 4) (m +) ≤1≤m for any integer m W Shown in Figure P6.2-1 is the frequency response H(o) of a continuous-time filter referred to as a lowpass differentiator. For each of the input signals x(r) below, deter- mine the filtered output signal y(t). -3 |H(w) | 3n x(1) = لما jsin 2x1, 10, Figure P6.2-1 3r * H(w) FIN MICH 3x (a) x(1) <= cos (2π² -+- 0) (b) x(1) =cos (47r + 0) (c) x() is a half-wave-rectified sine wave of period 1, as sketched in Figure P6.2-2. m≤IS (m + 4) (m +) ≤1≤m for any integer m W