a.) The average signal power is Ps What is the minimum distance d for each signalconstellation 1-4?b.) Let the noise power PN be a constant. Sort the constellations 1-4 on signal-to-noise ratioPsand express the differences in signal-to-noise ratios in decibels.PNc.) Assume that the real and imaginary parts nī and no of the noise are independent. InddddP (n₁ < − 1) = P (nq < − ª ) = P (₁ > ²2 ) = P ( nq > =/ ) =>=p2addition let P\n<where the minimum distance d is the same for all constellations 1-4. What is the symbolerror probability for each constellation as a function of p where all symbols are equally probable?1.3.ddImReRe2.4.ddddd0d9dImdReRe

According to the question, for the given constellation diagram as shown below We need to calculate,…

a.) The average signal power is Ps What is the minimum distance d for each signal constellation 1-4? b.) Let the noise power PN be a constant. Sort the constellations 1-4 on signal-to-noise ratio Ps and express the differences in signal-to-noise ratios in decibels. PN

a.) The average signal power is Ps What is the minimum distance d for each signal constellation 1-4? b.) Let the noise power PN be a constant. Sort the constellations 1-4 on signal-to-noise ratio Ps and express the differences in signal-to-noise ratios in decibels. PN

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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Concept explainers

Filter

A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a class of signal processing. This most often means removing some frequency bands or some frequencies. In the frequency domain, the filters do not exclusively act, especially in the image processing field many other targets for filtering exist. Without having to act in the frequency domain, the correlations can be removed for certain frequency components and not for others. The filters are widely used in electronics and telecommunication, in television, radio, radar, audio recording, music synthesis, control systems, computer graphics, and image processing.

Question

a.) The average signal power is Ps What is the minimum distance d for each signal
constellation 1-4?
b.) Let the noise power PN be a constant. Sort the constellations 1-4 on signal-to-noise ratio
Ps
and express the differences in signal-to-noise ratios in decibels.
PN
c.) Assume that the real and imaginary parts nī and no of the noise are independent. In
d
d
d
d
P (n₁ < − 1) = P (nq < − ª ) = P (₁ > ²2 ) = P ( nq > =/ ) =
>
=p
2
addition let P\n<
where the minimum distance d is the same for all constellations 1-4. What is the symbol
error probability for each constellation as a function of p where all symbols are equally probable?
1.
3.
d
d
Im
Re
Re
2.
4.
d
d
d
d
d
0
d
9
d
Im
d
Re
Re

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