Three discrete-time signals are defined as x₁ [n] = n(u[n] - u[n-5]), x2 [n] = 4(u[n - 5] - u[n — 11]) and x3[n] = −28[n — 8]. Let x[n] be the discrete-time signal defined as x[n] = x1[n] + x2[n] + x3[n]. In MATLAB do the following: 1. define the unit-step function u[n] as an anonymous function in MATLAB as u= @(n) (n >= 0) and the unit-impulse function as an anonymous function in MATLAB as delta = @(n)(n = 0) 2. Using subplot, plot x₁ [n], x2 [n], x3[n] and x[n] in a 2-by-2 plot window. Note that for discrete signals, stem() is used instead of plot(). Make sure to label your plots. 3. In a separate plot window, plot the odd component xo[n] = z[n]-x[-n]¸ 2 4. In a separate plot window, plot the even component [n] = a[n]+x[-n] 5. Use the MATLAB defined function sum() to calculate the total energy Ex(x) = x-x[n]|² of x[n], the total energy Ex(e) = x-xe[n]² of xe[n] and the total energy Ex(x) = -xo[n]² of xo[n]. 6. Compare the total energy of x[n] Ex(x) and Ex(xe) + Ex(xo).

Three discrete-time signals are defined as x₁ [n] = n(u[n] - u[n-5]), x2 [n] = 4(u[n - 5] - u[n — 11]) and x3[n] = −28[n — 8]. Let x[n] be the discrete-time signal defined as x[n] = x1[n] + x2[n] + x3[n]. In MATLAB do the following: 1. define the unit-step function u[n] as an anonymous function in MATLAB as u= @(n) (n >= 0) and the unit-impulse function as an anonymous function in MATLAB as delta = @(n)(n = 0) 2. Using subplot, plot x₁ [n], x2 [n], x3[n] and x[n] in a 2-by-2 plot window. Note that for discrete signals, stem() is used instead of plot(). Make sure to label your plots. 3. In a separate plot window, plot the odd component xo[n] = z[n]-x[-n]¸ 2 4. In a separate plot window, plot the even component [n] = a[n]+x[-n] 5. Use the MATLAB defined function sum() to calculate the total energy Ex(x) = x-x[n]|² of x[n], the total energy Ex(e) = x-xe[n]² of xe[n] and the total energy Ex(x) = -xo[n]² of xo[n]. 6. Compare the total energy of x[n] Ex(x) and Ex(xe) + Ex(xo).

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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