Question: Consider a (15,3) cyclic code. a) Show that g(D) = 1 +D3 + D + D + D12 is a generator polynomial of this code.

Consider a (15,3) cyclic code. a) Show that g(D) = 1

Consider a (15,3) cyclic code. a) Show that g(D) = 1 +D3 + D + D + D12 is a generator polynomial of this code. [4 marks] b) Suppose a codeword has been transmitted across a channel and the received sequence is represented as the polynomial r(D) = 1 +D2 + DS + D + D +D14. Find the syndrome (in polynomial form). [5 marks] Consider a (15,3) cyclic code. a) Show that g(D) = 1 +D3 + D + D + D12 is a generator polynomial of this code. [4 marks] b) Suppose a codeword has been transmitted across a channel and the received sequence is represented as the polynomial r(D) = 1 +D2 + DS + D + D +D14. Find the syndrome (in polynomial form). [5 marks]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Consider a (15,3) cyclic code. a) Show that g(D) = 1 +D3 + D6 + D + D12 is a generator polynomial of this code. [4 marks) b) Suppose a codeword has been transmitted across a channel and the received...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

3. Two mining companies, Red and Blue, bid for the right to drill a eld. The possible bids are $3 15 Million, $ 25 Million, $ 35 Million, $ 45 Million and $ 50 Million. The winner is the company with...

EET 412 2017-1 1. The number of different possible binary PCM values that can be encoded with 5-bit words is (a) 16 (b) 5 (c) 64 (d) 32 2. An analog signal is to be encoded with at least 2000 values....

A discrete sequence {xn} can be converted into a continuous representation x(t) = ts X n= (t n ts) xn, where ts is the sampling period. (a) State two characteristic properties of Dirac's function. [2...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

Q1 a 8 Describe the method for calculation of source entropy H(X) from a 1* order Markov source where outputs symbols belong to GF(2). b For the given 1* Order Markov Source calculate the source...

1. (a) What is meant by a cyclic error-control code? Explain your answer by suitable examples (at least 2). (b) Can cyclic codes be non-linear? Explain your answer by suitable examples (at least 2)....

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...

What is meant by the costs and benefits of advocacy? Explain in detail. Select a specific current US problem that may cause social workers to act as advocates today, and explain what the costs and...

IKEA is a Swedish based furniture retailer that is known throughout the world. Ingvar Kamprad was only 17 years old when he founded the furniture giant in 1943. The name IKEA is an acronym meaning...

Which of the following statements about convertible bonds are true? The conversion price does not change over time. The associated stocks may not pay dividends as long as the bonds are outstanding....

8:37 * N. 80% i ... OBJECTIVES: Create relationships Create a Pivot Table from Related Tables Create a PivotChart Modify the PivotChart The major section in this chapter :ontinuation is: Data...