Consider a convolutional code with code rate R 1/2,k- 1, and constraint length L-3. The generators a) Find the output f...
6) A convolutional code with constraint length K -3 has generator polynomials g, (D)-1,gz(D)- D +1 and g (D) D +D+1 a) Draw the encoder of this code (2 Marks) b) Is the code systematic? Explain (1 Mark). c) Draw the sate diagram (1 Mark) and trellis of the code (2 Marks). d) Find the output of the encoder if the input is 0010100 (2 Marks)
6) A convolutional code with constraint length K -3 has generator polynomials g, (D)-1,gz(D)-...
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]
Consider the convolutional
encoder shown in Figure 2.
(a) Find the impulse response of the encoder
(b) Find the output codeword if the input sequence is all 1’s (1
1 1 1 1 1 . . .)
(c) Discuss the result of (b) (d) Find the polynomial
representation of the encoder
(e) Sketch the state diagram of the encoder
Consider the convolutional encoder shown in Figure 2 (a) Find the impulse response of the encoder (b) Find the output codeword...
Consider the convolutional encoder shown in Figure 2 (a) Find the impulse response of the encoder (b) Find the output codeword if the input sequence is all 1's (111111...) (c) Discuss the result of (b) (d) Find the polynomial representation of the encoder (e) Sketch the state diagram of the encoder 2. Output input Figure 2
Consider the convolutional encoder shown in Figure 2 (a) Find the impulse response of the encoder (b) Find the output codeword if the input...
11. Consider the production function: f(K,L)=K+L. Let w and r denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function. (b) Find the profit maximizing output level and the profit function. 12. Consider a firm with production function f(K,L) = K +L. (a) Suppose that capital level is currently fixed at K = 10. Find the short term production cost function for...
Consider the production function: f(K,L)=K+L. Let w and r denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function. (b) Find the profit maximizing output level and the profit function.
Consider the production function given by y = f(L,K) = L^(1/2) K^(1/3) , where y is the output, L is the labour input, and K is the capital input. (a) Does this exhibit constant, increasing, or decreasing returns to scale? (b) Suppose that the firm employs 9 units of capital, and in the short-run, it cannot change this amount. Then what is the short-run production function? (c) Determine whether the short-run production function exhibits diminishing marginal product of labour. (d)...
a) Draw helical wheels for each of the following two sequences. 1) E-L-K-D-L-S-K-S 2) L-R-K-L-E-R-S-L b. In the diagram above show likely interactions between each sequence. C What is the name of the secondary structure this may form
1. Suppose f(K,L)=[L+K]3, what is the MRTS? 2. Suppose f(K,L)=K(1/2)+L(1/2) Find the marginal rate of technical substitution. 3. f(K,L)=K(1/2)+L(1/2) Find the marginal rate of technical substitution.
10. Consider the production function: f(KL)=K L. Let wandr denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function as a function of w., and q. (b) Find the profit maximizing output level and the profit as a function of w, r, and p. 11. Consider the production function: f(KL)=K+L. Let w and r denote the price of labor and capital, and...