5. Assume that the signals in the following two-dimensional signal con- stellations are equally probable. Find the new signal coordinates in each case so that the average energy is minimized. Plot the signal constellations before and after energy minimization. (a) S₁ = (b) $₁ = $1 (c) $₁ = S1 = (3,1), S₂ (0.2), s₂ = (-1,3), s3 = (–4, −4), s4 = (−2,−4) (3,3), s₂ = (1, −2), s3 = (−1,1), s4 = (−3,2) = (2, 2), s3 = (−2, –4)
5. Assume that the signals in the following two-dimensional signal con- stellations are equally probable. Find the new signal coordinates in each case so that the average energy is minimized. Plot the signal constellations before and after energy minimization. (a) S₁ = (b) $₁ = $1 (c) $₁ = S1 = (3,1), S₂ (0.2), s₂ = (-1,3), s3 = (–4, −4), s4 = (−2,−4) (3,3), s₂ = (1, −2), s3 = (−1,1), s4 = (−3,2) = (2, 2), s3 = (−2, –4)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![5. Assume that the signals in the following two-dimensional signal con-
stellations are equally probable. Find the new signal coordinates in
each case so that the average energy is minimized. Plot the signal
constellations before and after energy minimization.
(a) $₁
=
=
(b) $1
(c) $₁ =
S1
(3,1), S₂
(0.2), s₂ = (−1,3), s3 = (–4, −4), s4 = (-2,-4)
(3, 3), S₂ = (1, -2), s3 = (−1, 1), S4 = (-3,2)
=
(2, 2), S3
: (-2,-4)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5c4e1cc-f8a5-4780-b71d-2bc1a3c6eda4%2Fe6bff33a-2d74-41e9-b8bd-dea4137ec877%2F7dgvcgi_processed.png&w=3840&q=75)
Transcribed Image Text:5. Assume that the signals in the following two-dimensional signal con-
stellations are equally probable. Find the new signal coordinates in
each case so that the average energy is minimized. Plot the signal
constellations before and after energy minimization.
(a) $₁
=
=
(b) $1
(c) $₁ =
S1
(3,1), S₂
(0.2), s₂ = (−1,3), s3 = (–4, −4), s4 = (-2,-4)
(3, 3), S₂ = (1, -2), s3 = (−1, 1), S4 = (-3,2)
=
(2, 2), S3
: (-2,-4)
=
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