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Q2. Two DTLTI systems with impulse responses h1[n] and h2[n] are connected in cascade as shown in figure below. r[n] w[n] ha[n] y[n] r[n] heq[7] y[n] (a) (b) Figure Q2. a) Let hı[n] = h2[n] = u[n] – u[n - 5]. Determine and sketch heg[n] for the equivalent %3D

Q2. Two DTLTI systems with impulse responses h1[n] and h2[n] are connected in cascade as shown in figure below. r[n] w[n] ha[n] y[n] r[n] heq[7] y[n] (a) (b) Figure Q2. a) Let hı[n] = h2[n] = u[n] – u[n - 5]. Determine and sketch heg[n] for the equivalent %3D

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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**Q2.** Two DT LTI systems with impulse responses \( h_1[n] \) and \( h_2[n] \) are connected in cascade as shown in the figure below. - Figure (a) displays a block diagram illustrating the cascade connection of two systems. The input signal \( x[n] \) is fed into the first system with impulse response \( h_1[n] \). The output of this first system is \( w[n] \), which then serves as the input for the second system with impulse response \( h_2[n] \). The final output of this cascade is \( y[n] \). - Figure (b) depicts a block diagram representing an equivalent single system with impulse response \( h_{eq}[n] \), receiving the input signal \( x[n] \) and producing the output \( y[n] \). **Figure Q2.** **a)** Let \( h_1[n] = h_2[n] = u[n] - u[n - 5] \). Determine and sketch \( h_{eq}[n] \) for the equivalent system. **b)** With \( h_1[n] \) and \( h_2[n] \) as specified in part (a), let the input signal be a unit step, that is, \( x[n] = u[n] \). Determine and sketch the signals \( w[n] \) and \( y[n] \).
Transcribed Image Text:**Q2.** Two DT LTI systems with impulse responses \( h_1[n] \) and \( h_2[n] \) are connected in cascade as shown in the figure below. - Figure (a) displays a block diagram illustrating the cascade connection of two systems. The input signal \( x[n] \) is fed into the first system with impulse response \( h_1[n] \). The output of this first system is \( w[n] \), which then serves as the input for the second system with impulse response \( h_2[n] \). The final output of this cascade is \( y[n] \). - Figure (b) depicts a block diagram representing an equivalent single system with impulse response \( h_{eq}[n] \), receiving the input signal \( x[n] \) and producing the output \( y[n] \). **Figure Q2.** **a)** Let \( h_1[n] = h_2[n] = u[n] - u[n - 5] \). Determine and sketch \( h_{eq}[n] \) for the equivalent system. **b)** With \( h_1[n] \) and \( h_2[n] \) as specified in part (a), let the input signal be a unit step, that is, \( x[n] = u[n] \). Determine and sketch the signals \( w[n] \) and \( y[n] \).
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