Let X(1) be the DTFT of a finite length sequence associated with the signal x(n), such that n+1, 0≤n≤ 49 x(n)={100-n, 50≤n≤99 0, otherwise a. Let X() be approximated by a 10-point DFT (N=10) and related to y, (n) such that 2π 10 i) Determine y, (n) using the definitions of DFT & IDFT. y₁ (n) = IDFT| X (0), X 1) = IDFT | X X 4π 10 X 18T 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Let X(w) be the DTFT of a finite length sequence associated with the signal x(n), such that
n+1, 0≤n≤ 49
x(n)={100- -n, 50≤n≤99
otherwise
0,
a. Let X(w) be approximated by a 10-point DFT (N=10) and related to y, (n) such that
2π
y, (n)= IDFT [X(0), X (²7), x(47)
X|
X
10
10
i) Determine y₁ (n) using the definitions of DFT & IDFT.
X
187
10
Transcribed Image Text:Let X(w) be the DTFT of a finite length sequence associated with the signal x(n), such that n+1, 0≤n≤ 49 x(n)={100- -n, 50≤n≤99 otherwise 0, a. Let X(w) be approximated by a 10-point DFT (N=10) and related to y, (n) such that 2π y, (n)= IDFT [X(0), X (²7), x(47) X| X 10 10 i) Determine y₁ (n) using the definitions of DFT & IDFT. X 187 10
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,