6) A convolutional code with constraint length K -3 has generator polynomials g, (D)-1,gz(D)- D +...
Consider a convolutional code with code rate R 1/2,k- 1, and constraint length L-3. The generators a) Find the output for input 10100 based on the trellis diagram of this convolutional code. (6 marks) b) Suppose that the received sequence is 1110110010. Use the Viterbi algorithm to find the most likely transmitted data sequence. (10 marks)
Consider a convolutional code with code rate R 1/2,k- 1, and constraint length L-3. The generators a) Find the output for input 10100 based...
For the convolutional coder circuit below compute the following: (a) Generator matrix (b) State diagram of the encoder (c) Trellis diagram of the encoder (d) Decode the received sequence 10 01 10 11 00 First coded bit Input data bits Output coded bits Second coded bit
For the convolutional coder circuit below compute the following: (a) Generator matrix (b) State diagram of the encoder (c) Trellis diagram of the encoder (d) Decode the received sequence 10 01 10 11 00...
Basic Properties of Convolutional Codes a convolutional encoder has finite memory, it can easily be represented bu m diagram. In the state-transition diagram, each state of the convolution 13.3.1 output(s) are specified. The number of lines emerging from each state is, therefoe pondi number of possible inputs to the encoder at that state, which is equal to 2. T ines merging at each state is equal to the number of states from which a tran tis represented by a box,...
1) Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is given as g(x) = 1 + x + x2 + x5 + x + x10. a. Design and draw the circuit of the feedback shift register encoder and decoder (6 Marks) b. Use the encoder obtained in part a to find the code word for the message (10110). (Assume the right most bit is the earliest bit) (5 Marks) C. Repeat the steps of part...
1) Consider a (15,5) linear block code (cyclic) in systematic form. The generator polynomial is given as. g(x) = 1 + x + x2 + x5 + x + x10. a. Design and draw the circuit of the feedback shift register encoder and decoder.(6 Marks) b- Use the encoder obtained in part a to find the code word for the message (11101] (Assume the right most bit is the earliest bit) (5 Marks) c- Repeat the steps of part b...
Consider a convolutional code with G(D) [1D, 1+D2,1+D+D2] When a codeword is transmitted over a BSC and the received sequence is as below Find the information bit sequence using the Viterbi algorithm? r [10,1 0,1 0,111,010,101,101]
Consider a convolutional code with G(D) [1D, 1+D2,1+D+D2] When a codeword is transmitted over a BSC and the received sequence is as below Find the information bit sequence using the Viterbi algorithm? r [10,1 0,1 0,111,010,101,101]
Let G- be a generator matrix for a block code (not necessarily a "good" code) a) b) c) What is the n, k, the rate and the bandwidth expansion for this code? Find the parity check matrix H )Build the standard array for the code. Assume the coset leaders are vectors with one "l", starting from the left side of the vector, i.e., the first coset leader will be (1 0...), the second (01 0 ...) starting again from the...
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Problem 3 [24 marks] A competitive firm uses two inputs, capital (k) and labour (), to produce one output, (y). The price of capital, W, is S1 per unit and the price of labor, wi, is SI per unit. The firm operates in competitive markets for outputs and inputs, so takes the prices as given. The production function is f(k,l) 3k025/025. The maximum amount of output produced for a givern amount of inputs is y(k, l)...
Find the generator polynomial of the length-1023, primitive binary BCH code with designed error-correcting capability (a) t = 1. (b) t = 2. (c) t = 3. (d) t = 4.
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2. Design a half-adder with the constraint that you can only use NAND and NOR gates. The circuit inputs are two bits I and y and the outputs are the sum bit s and carry bit c. Draw a circuit diagram and label each input and output. 3. The digital circuit below contains a latch and two flip-flops. Use the wave forms provided to find Qa. Qb, and Qe. Assume that all three states have initial...