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2. Verify the function files created in problem (1) by plotting the sequence generated by the following operations a._x(n)=25(n) — 25(n−1)+36(n−2)+36(n−3)-46(n-5), for-2

2. Verify the function files created in problem (1) by plotting the sequence generated by the following operations a._x(n)=25(n) — 25(n−1)+36(n−2)+36(n−3)-46(n-5), for-2

Database System Concepts
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
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2. Verify the function files created in problem (1) by plotting the sequence generated by the following operations a. x(n)=28(n)-28(n−1)+36(n−2)+36(n-3) — 48(n−5), for-2<n<7 use impseq and sigadd functions b. y(n)= x(4-n)x(-2-n), where x(n) is the sequence generated in 2.a. use sigshift, sigfold and sigmult functions. c. Verify that for y(n) = r(n+1)[u(n) −u(n−1)], y(n) = use sigshift, stepseq and sigmult functions Note that r(n) = nu(n) (1, n=0 [0, elsewhere d. Decompose the signal x(n) = (0.97)¹4 cos 0.0009² + +7) sin(0.005, n+4), for -50<n<50 in to its even and odd components and verify that the energy of x(n) is equal to the sum of energy of its even and odd components. Determine and plot (stem) the following functions: i. x(n) ii. even component iii. odd component iv. sum of even and odd components, f(n)
Transcribed Image Text:2. Verify the function files created in problem (1) by plotting the sequence generated by the following operations a. x(n)=28(n)-28(n−1)+36(n−2)+36(n-3) — 48(n−5), for-2<n<7 use impseq and sigadd functions b. y(n)= x(4-n)x(-2-n), where x(n) is the sequence generated in 2.a. use sigshift, sigfold and sigmult functions. c. Verify that for y(n) = r(n+1)[u(n) −u(n−1)], y(n) = use sigshift, stepseq and sigmult functions Note that r(n) = nu(n) (1, n=0 [0, elsewhere d. Decompose the signal x(n) = (0.97)¹4 cos 0.0009² + +7) sin(0.005, n+4), for -50<n<50 in to its even and odd components and verify that the energy of x(n) is equal to the sum of energy of its even and odd components. Determine and plot (stem) the following functions: i. x(n) ii. even component iii. odd component iv. sum of even and odd components, f(n)
1. Create function files that will: a generate an impulse signal 8(n-no) over the interval n1 to n2 [x, n] = impseq (no, n1, n2) (1, n = n₂ [0, n= n₁ b. generate sequence u(n-n) over the interval n1 to n2 [x,n] = stepseq (n0,n1, n2) 8(n-n₂)= = [1, nzn 10₁ n<n₂ u(n-n₁) = c. generate sequence y(n) = x(no - m) [y,n] sigshift (x,m,n0) d. generates sequence y(m) = x(-n) [y,m] = sigfold (x,n) e. generate sequence y(n) = x₁(n) + x₂(n) [y,n] = sigadd (x1, n1, x2, n2) f. generate sequence y(n) = x₁(n) x₂(n) [y,n] = sigmult (x1,n1, x2,n2) g. generate the even and odd components of x(n) [xe,xo,n] = evenodd (x,n) _x, (n) = — [x(n) + x(−n)] x₂ (n) = [x(n) − x(-n)]
Transcribed Image Text:1. Create function files that will: a generate an impulse signal 8(n-no) over the interval n1 to n2 [x, n] = impseq (no, n1, n2) (1, n = n₂ [0, n= n₁ b. generate sequence u(n-n) over the interval n1 to n2 [x,n] = stepseq (n0,n1, n2) 8(n-n₂)= = [1, nzn 10₁ n<n₂ u(n-n₁) = c. generate sequence y(n) = x(no - m) [y,n] sigshift (x,m,n0) d. generates sequence y(m) = x(-n) [y,m] = sigfold (x,n) e. generate sequence y(n) = x₁(n) + x₂(n) [y,n] = sigadd (x1, n1, x2, n2) f. generate sequence y(n) = x₁(n) x₂(n) [y,n] = sigmult (x1,n1, x2,n2) g. generate the even and odd components of x(n) [xe,xo,n] = evenodd (x,n) _x, (n) = — [x(n) + x(−n)] x₂ (n) = [x(n) − x(-n)]
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