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

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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
Transcribed Image Text: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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