Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 30.3, Problem 2E
Program Plan Intro
To show that how to find implement a FFT
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Why did the cyclic redundancy check (CRC) decoder arrive at such a result that is in direct opposition to the previous one?
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- Consider a 4-symbol source data sequence: {B, C, D, A, A, B, A, C, B, A}. Encode the sequence using Shannon-Fano coding algorithm. Show all the intermediate steps.Based on the result, determine the code rate, code efficiency, and code redundancy of the algorithm.arrow_forwardWhy has the cyclic redundancy check (CRC) decoder arrived at a result that contradicts itself?arrow_forwardProvide examples of how Reed-Solomon coding differs from Hamming coding in two different ways.arrow_forward
- Using the convolutional code and Viterbi algorithm described in this chapter, assuming that the encoder and decoder always start in State 0, determine the following:1. a) The output string generated for the input: 10010110.2. b) In which state is the encoder after the sequence in Part a is read?3. c) Which bit is in error in the string, 11 01 10 11 11 11 10? What is the probable value of the string?arrow_forward.Explain why an unsigned binary representation, rather than a 32-bit signed binary representation, was chosen in this instance.arrow_forwardConsider a convolutional code with k = 1, n = 3 and L = 3. The encoder generators aregiven by 91 = [110], 92 = [001] and 93 = [011].Assume the Viterbi algorithm is used for decoding at the receiver and considerthe received bit sequence at the input of the channel decoder being [10 0100110011].Answer the following questions.(a) What is the decoded information bit sequence? (b) What is the value of the cumulative metric (i.e., Hamming distance) of thefinal survivor path of the decoding process?(c) Draw the final survivor path of the trellis for the decoding process.Instruction for Part (c): An example of drawing a path in the trellis is shown below.arrow_forward
- A repetition code is an [n, 1] Code in which the n - 1 parity bits are repetitions of the information bit. Is this repetition code a linear code ? What is the minimum distance of the code ?please given step by step solution.arrow_forwardWhat are the benefits of Hamming codes versus parity checking codes? Give specifics.arrow_forwardThe Cyclic redundancy check (CRC) decoder has arrived to a conflicting conclusion; why is this?arrow_forward
- A circuit has four inputs p,q,r,s representing the natural binary number 0000=0,to 1111=15 p is the most significant bit .the circuit has one output, x,which is true if the input to the circuit represent is a prime number and false other wise (A) design a true table for this circuit, and hence obtain an expression for x in terms of P,Q,R,S.arrow_forwardGiven a and n as inputs, what is the total frequency count and temporal complexity of the following pseudo-code?1. product = 1;2. sum = 0;3. for i =1 to n do4. product = product *a;5. sum = sum + a;6. end7. power = product;8. summation = sum;arrow_forwardGiven a and n as inputs, what is the total frequency count and temporal complexity of the following pseudo-code? 1. product = 1;2. sum = 0;3. for i =1 to n do4. product = product *a;5. sum = sum + a;6. end7. power = product;8. summation = sum;arrow_forward
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