Consider the system shown in Figure 2.1, where H(w) is a lowpass filter with cutoff frequency...

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Consider the system shown in Figure 2.1, where H(w) is a lowpass filter with cutoff frequency at 0.27. The spectrum of x[n] is given in Figure 2.2. Assume the frequency response of the overall system is G (w). x[n]- (-1)" x₁ [n] H(w) H(w) x₂[n] x3[n] (-1)" X4[n] y [n] -TT X(w) Figure 2.2 3 Figure 2.1 1) Sketch the spectrum of x₁ [n], x₂ [n], x3[n], x4 [n] respectively; 2) Obtain magnitude plot of G(w). Is this system a lowpass, highpass, bandpass or bandstop system? Sketch the spectrum of y[n]. 3) Now consider replacing H(w) by a highpass filter with cutoff frequency at 0.2π. Sketch the spectrum of y[n]. Consider the system shown in Figure 2.1, where H(w) is a lowpass filter with cutoff frequency at 0.27. The spectrum of x[n] is given in Figure 2.2. Assume the frequency response of the overall system is G (w). x[n]- (-1)" x₁ [n] H(w) H(w) x₂[n] x3[n] (-1)" X4[n] y [n] -TT X(w) Figure 2.2 3 Figure 2.1 1) Sketch the spectrum of x₁ [n], x₂ [n], x3[n], x4 [n] respectively; 2) Obtain magnitude plot of G(w). Is this system a lowpass, highpass, bandpass or bandstop system? Sketch the spectrum of y[n]. 3) Now consider replacing H(w) by a highpass filter with cutoff frequency at 0.2π. Sketch the spectrum of y[n].

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1 Obtaining the magnitude plot of G The overall systems frequency response G is the product of the l... View the full answer