A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - andalpha;)b)1 - (1 - andalpha;)Nc)1 - andalpha;Nd)andalpha;NCorrect answer is option 'B'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

GATE Exam > GATE Questions > A digital communication system transmits a bl...

Join the Discussion on the App

A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous is

a)
(a) N(1 - α)
b)
1 - (1 - α)^N
c)
1 - α^N
d)
α^N

Correct answer is option 'B'. Can you explain this answer?

FREE This question is part of

Electronics And Communication - ECE 2020 GATE Paper (Practice Test)

Attempt Test

Attempt this Test

Verified Answer

A digital communication system transmits a block of N bits. The probab...

Probability of error in decoding single bit = α
Then probability of no error will be 1 - a.
Total A/-bits transmitted, so that probability of no error in received block
= (1 - α) (1 - α) ... N times
= (1 - α )^N
The probability of received block is erroneous is = 1 - (1 - α)^N

View all questions of this test

Most Upvoted Answer

A digital communication system transmits a block of N bits. The probab...

A) N(1 - a)

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for GATE exam

Similar GATE Doubts

A digital communication system uses a repetition code for channel encoding/decoding. Duringtransmission, each bit is repeated three times (0 is transmitted as 000, and 1 is transmitted as 111).It is assumed that the source puts out symbols independently and with equal probability . Thedecoder operates as follows: In a block of three received bits, if the number of zeros exceeds thenumber of ones, the decoder decides in favor of a 0, and if the number of ones exceeds the numberof zeros, the decoder decides in favor of a 1,Assuming a binary symmetric channel with crossoverprobability p = 0.1, the average probability of error is ________. Correct answer is '0.028'. Can you explain this answer?

View answer

In a digital communication system, a symbol S randomly chosen from the set (s1, s2, s3, s4) is transmitted. It is given that s1 = -3, s2 = -1, s3 = +1 and s4 = +2. The received symbol is Y = S W/. W is a zero-mean unit-variance Gaussian random variable and is independent of S. Piis the conditional probability of symbol error for the maximum likelihood (ML) decoding when the transmitted symbol S = si. The index i for which the conditional symbol error probability Pi is the highest is _____ . Correct answer is '3'. Can you explain this answer?

View answer

Consider a simple communication system where multiple nodes are connected by a shared broadcast medium (like Ethernet or wireless). The nodes in the system use the following carrier-sense based medium access protocol. A node that receives a packet to transmit will carrier-sense the medium for 5 units of time. If the node does not detect any other transmission in this duration, it starts transmitting its packet in the next time unit. If the node detects another transmission, it waits until this other transmission finishes, and then begins to carrier-sense for 5 time units again. Once they start to transmit, nodes do not perform any collision detection and continue transmission even if a collision occurs. All transmissions last for 20 units of time. Assume that the transmission signal travels at the speed of 10 meters per unit time in the medium.Assume that the system has two nodes P and Q, located at a distance d meters from each other. P starts transmitting a packet at time t=0 after successfully completing its carrier-sense phase. Node Q has a packet to transmit at time t=0 and begins to carrier-sense the medium. The maximum distance d (in meters, rounded to the closest integer) that allows Q to successfully avoid a collision between its proposed transmission and P’s ongoing transmission is _____. Correct answer is '50 to 50'. Can you explain this answer?

View answer

A coin is tossed thrice. Let X be the event that head occurs in each of the two tosses. Let Y be the event that a tail occurs on the third toss. Let Z be the event that two tails occur in three tosses. Based on the above information, which one of the following statements is TRUE?

View answer

If P and Q are two random events, then the following is TRUE

View answer

Share with a Friend

Answer this doubt

Question Description
A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer?.

Solutions for A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.

Here you can find the meaning of A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A digital communication system transmits a block of N bits. The probability of error in decoding a bit is a. The error event of each bit is independent of the error events of the other bits. The received block is declared erroneous if at least one of the its bits is decoded wrongly. The probability that the received block is erroneous isa)(a) N(1 - α)b)1 - (1 - α)Nc)1 - αNd)αNCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.

Explore Courses for GATE exam