Consider the LTI filter with impulse response [sin(an/8)] h[n] = 8 • cos(In/2) πη The input to the filter is given by (受) sin(an/4) (3ny x[n] = 8[n] + 3• + 5 cos +6 sin %3D The output to the filter is...

Consider the LTI filter with impulse response<br>[sin(an/8)]<br>h[n] = 8<br>• cos(In/2)<br>πη<br>The input to the filter is given by<br>(受)<br>sin(an/4)<br>(3ny<br>x[n] = 8[n] + 3•<br>+ 5 cos<br>+6 sin<br>%3D<br>The output to the filter is given by<br>y[n] = (x * h)[n]<br>Using known results,<br>(i) Determine and sketch the system frequency response H(ej«) over (–n, n].<br>(ii) Determine and sketch the input frequency response X(e]®) over (–1,1].<br>(iii) Determine the output y[n].<br>

Extracted text: Consider the LTI filter with impulse response [sin(an/8)] h[n] = 8 • cos(In/2) πη The input to the filter is given by (受) sin(an/4) (3ny x[n] = 8[n] + 3• + 5 cos +6 sin %3D The output to the filter is given by y[n] = (x * h)[n] Using known results, (i) Determine and sketch the system frequency response H(ej«) over (–n, n]. (ii) Determine and sketch the input frequency response X(e]®) over (–1,1]. (iii) Determine the output y[n].

Jun 10, 2022

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Consider the LTI filter with impulse response [sin(an/8)] h[n] = 8 • cos(In/2) πη The input to the filter is given by (受) sin(an/4) (3ny x[n] = 8[n] + 3• + 5 cos +6 sin %3D The output to the filter is...

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