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

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

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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 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].
Transcribed Image 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].
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