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3 LTI System Steady-State Response The discrete-time Linear Time-Invariant (LTI) system represented in Figure 3 has impulse response given by h[n] = 6[n] - 6[n-5], where 6[n] is the unit-impulse sequence. x[n]- -y[n] h[n] Figure 3. LTI system. Determine: (a) an equation for the frequency response H(e) and express it in the form H(e) = /2 R(e) e-jwc where R(e) is a real-valued sequence of the frequency w, and c is a real-valued constant. (b) the output y[n] of the system if the input signal r[n] is given by r[n] = 3 + cos(0.2πn - π/5).

3 LTI System Steady-State Response The discrete-time Linear Time-Invariant (LTI) system represented in Figure 3 has impulse response given by h[n] = 6[n] - 6[n-5], where 6[n] is the unit-impulse sequence. x[n]- -y[n] h[n] Figure 3. LTI system. Determine: (a) an equation for the frequency response H(e) and express it in the form H(e) = /2 R(e) e-jwc where R(e) is a real-valued sequence of the frequency w, and c is a real-valued constant. (b) the output y[n] of the system if the input signal r[n] is given by r[n] = 3 + cos(0.2πn - π/5).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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3 LTI System Steady-State Response The discrete-time Linear Time-Invariant (LTI) system represented in Figure 3 has impulse response given by h[n] = 6[n] - 8[n- 5], where 6[n] is the unit-impulse sequence. -y[n] h[n] Figure 3. LTI system. x[n]- Determine: (a) an equation for the frequency response H(e) and express it in the form H(e) = /2 R(e) e-jwc where R(e) is a real-valued sequence of the frequency w, and c is a real-valued constant. (b) the output y[n] of the system if the input signal r[n] is given by x[n] = 3 + cos(0.2πn - π/5). Note: y[n] is the steady-state response of the discrete-time LTI system to the input T[n].
Transcribed Image Text:3 LTI System Steady-State Response The discrete-time Linear Time-Invariant (LTI) system represented in Figure 3 has impulse response given by h[n] = 6[n] - 8[n- 5], where 6[n] is the unit-impulse sequence. -y[n] h[n] Figure 3. LTI system. x[n]- Determine: (a) an equation for the frequency response H(e) and express it in the form H(e) = /2 R(e) e-jwc where R(e) is a real-valued sequence of the frequency w, and c is a real-valued constant. (b) the output y[n] of the system if the input signal r[n] is given by x[n] = 3 + cos(0.2πn - π/5). Note: y[n] is the steady-state response of the discrete-time LTI system to the input T[n].
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