(see [14]) Consider the diversity receiver shown below where

antipodal signals V are received via two paths. Because of differing

attenuation (or fading) along the two paths, the signals are received as V1

and V2 by branches 1 and 2 of the diversity receiver, respectively. Each

branch has

a. Show that the summed output v is a Gaussian variable of

mean value (A1 V1 +A2 V2) and variance A1 2 _1 2 + A2 2 _2 2 .

b. Show that the effective SNR is given by (V1 + KV2) 2

/(_1 2 + K2 _2 2 ), where K=A2/A1. K = 0 and K = _ correspond

to the single-receiver case. Show that the diversity system

(see [14]) Consider the diversity receiver shown below where

antipodal signals V are received via two paths. Because of differing

attenuation (or fading) along the two paths, the signals are received as V1

and V2 by branches 1 and 2 of the diversity receiver, respectively. Each

branch has

a. Show that the summed output v is a Gaussian variable of

mean value (A1 V1 +A2 V2) and variance A1 2 _1 2 + A2 2 _2 2 .

b. Show that the effective SNR is given by (V1 + KV2) 2

/(_1 2 + K2 _2 2 ), where K=A2/A1. K = 0 and K = _ correspond

to the single-receiver case. Show that the diversity system improves the output

SNR and error probability performance compared to a singlereceiver.

c. Show that the optimum choice of the gain ratio K is given

by Kopt = V2 _2 1 V1 _2 2 , which is equivalent to setting A1 = kV1

_2 1, A2 = kV2 _2 2, where k is an arbitrary constant. The optimum

combining system is hence MRC, where each receiver input is weighted by the

ratio of the signal voltage to the noise variance measured at that input. Show

that the output SNR is given by the sum of the SNRs of two branches, V2 1

_2 1 + V2 2 _2 2.

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more