Assume a digital communication system with the following specifications: the channel Poe=0.05, and (n, k) block coding withn=24 and k-bit in every message, and the block code can correct maximum of 3 bits in every received codeword. Find the following:(a) The number of data message bits (k) in every transmitted codeword.(b) The probability to receive the codeword (frame) with no errors when it passes through this channel.Pf=(1-Pbe)m(c) The value of (Eb/No) of the channel. NOTE: when evaluating the channel assume uncoded system. NOTE: For large x (ay 2), the Ofanction is comecty appronimated byQ(x) e. x- o,Bt, for mall x (when x S2), the value of Ofnction is found from tables.o 027s3118 63oan 024162 1329o 0211 20Q as o 423102 0001813 1635 00 BIT ERRORS AND PACKET ERRORS:Given the following definitions:P.-Probability of a single bit error transmitted via AWGN channel (see below calculation of it).P- Probability that a frame (packet) of m bits arrives mith no errors.P" peobability that a frame amives with cne or more errors.Ia unceded communication system, the bit error probability is calculated byE,Por 0For an FEC coded system, the bit error peobabulity is given by2RNoWhere,Or-1-)/t!

For the given data number of data message bits (K) is determined as shown below

Answered: Assume a digital communication system…

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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Assume a digital communication system with the following specifications: the channel Poe=0.05, and (n, k) block coding withn=24 and k-bit in every message, and the block code can correct maximum of 3 bits in every received codeword.

Find the following:

(a) The number of data message bits (k) in every transmitted codeword.

(b) The probability to receive the codeword (frame) with no errors when it passes through this channel.P_f=(1-P_be)^m

NOTE: For large x (ay 2), the Ofanction is comecty appronimated by
Q(x) e. x- o,
Bt, for mall x (when x S2), the value of Ofnction is found from tables.
o 027s3118 63
oan 024162 1329
o 0211 20
Q as o 4231
02 0001813 1635 00

BIT ERRORS AND PACKET ERRORS:
Given the following definitions:
P.-Probability of a single bit error transmitted via AWGN channel (see below calculation of it).
P- Probability that a frame (packet) of m bits arrives mith no errors.
P" peobability that a frame amives with cne or more errors.
Ia unceded communication system, the bit error probability is calculated by
E,
Por 0
For an FEC coded system, the bit error peobabulity is given by
2R
No
Where,
Or-1-)/t!

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