Error Correction Techniques
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Questions and Answers

What type of error occurs when a single bit is flipped in a data transmission?

  • Burst error
  • Hamming code error
  • Cyclic redundancy check
  • Bit-level error (correct)
  • Which of the following encoding schemes uses a 7-bit character encoding?

  • Huffman coding
  • ASCII (correct)
  • Unicode
  • Binary-coded decimal
  • What is the purpose of a cyclic redundancy check (CRC) in data transmission?

  • Data compression
  • Data encryption
  • Error correction
  • Error detection (correct)
  • Which of the following data compression techniques is a lossy compression method?

    <p>Discrete cosine transform</p> Signup and view all the answers

    What is the primary difference between symmetric-key cryptography and asymmetric-key cryptography?

    <p>Number of keys used</p> Signup and view all the answers

    What is the purpose of a hash function in cryptography?

    <p>One-way encryption</p> Signup and view all the answers

    Which of the following encoding schemes is a block-based encoding scheme?

    <p>Block encoding</p> Signup and view all the answers

    What is the primary purpose of a parity bit in data transmission?

    <p>Error detection</p> Signup and view all the answers

    Which of the following compression techniques is a dictionary-based compression method?

    <p>LZW coding</p> Signup and view all the answers

    What is the primary purpose of a checksum in data transmission?

    <p>Error detection</p> Signup and view all the answers

    Study Notes

    Error Correction

    • Types of errors:
      • Bit-level errors: single-bit flip
      • Burst errors: multiple consecutive bits affected
    • Error correction techniques:
      • Parity bits: single-bit parity (odd/even) and two-dimensional parity
      • Checksums: calculate and compare with received data
      • Cyclic redundancy checks (CRCs): polynomial-based error detection
      • Hamming codes: single-error correction and double-error detection
      • Reed-Solomon codes: block-based error correction

    Binary Representation

    • Binary number system:
      • Base 2, using only 0s and 1s
      • Can represent integers, fractions, and characters
    • Binary encoding:
      • ASCII (American Standard Code for Information Interchange): 7-bit character encoding
      • Unicode: 16-bit and 32-bit character encoding
      • Binary-coded decimal (BCD): 4-bit encoding for decimal numbers

    Encoding Schemes

    • Line encoding:
      • Unipolar: single voltage level
      • Bipolar: two voltage levels (positive and negative)
      • Manchester: encoding with clock signal
    • Block encoding:
      • Huffman coding: variable-length prefix codes
      • Lempel-Ziv-Welch (LZW) coding: dictionary-based compression
      • Run-length encoding (RLE): repeat-count encoding

    Data Compression

    • Lossless compression:
      • Huffman coding
      • LZW coding
      • RLE
      • Arithmetic coding
    • Lossy compression:
      • Discrete cosine transform (DCT): image and video compression
      • Psychoacoustic models: audio compression
      • Fractal compression: image and video compression

    Cryptography

    • Types of cryptography:
      • Symmetric-key cryptography: same key for encryption and decryption
      • Asymmetric-key cryptography: public and private keys
    • Ciphers:
      • Substitution ciphers: character substitution
      • Transposition ciphers: character rearrangement
      • Block ciphers: encrypting data in blocks
    • Hash functions:
      • SHA (Secure Hash Algorithm): one-way encryption
      • MD5 (Message-Digest Algorithm 5): one-way encryption

    Error Correction

    • Bit-level errors occur when a single bit is flipped
    • Burst errors affect multiple consecutive bits
    • Parity bits can detect single-bit errors using odd or even parity
    • Checksums are calculated and compared with received data to detect errors
    • Cyclic redundancy checks (CRCs) use polynomials to detect errors
    • Hamming codes can correct single-bit errors and detect double-bit errors
    • Reed-Solomon codes correct errors in blocks of data

    Binary Representation

    • Binary number system is base 2, using only 0s and 1s
    • Binary can represent integers, fractions, and characters
    • ASCII is a 7-bit character encoding standard
    • Unicode uses 16-bit and 32-bit character encoding
    • Binary-coded decimal (BCD) uses 4-bit encoding for decimal numbers

    Encoding Schemes

    • Unipolar line encoding uses a single voltage level
    • Bipolar line encoding uses two voltage levels (positive and negative)
    • Manchester encoding combines data with a clock signal
    • Huffman coding uses variable-length prefix codes
    • Lempel-Ziv-Welch (LZW) coding uses dictionary-based compression
    • Run-length encoding (RLE) uses repeat-count encoding

    Data Compression

    • Lossless compression methods include Huffman coding, LZW coding, RLE, and arithmetic coding
    • Lossy compression methods include discrete cosine transform (DCT), psychoacoustic models, and fractal compression
    • Discrete cosine transform (DCT) is used for image and video compression
    • Psychoacoustic models are used for audio compression
    • Fractal compression is used for image and video compression

    Cryptography

    • Symmetric-key cryptography uses the same key for encryption and decryption
    • Asymmetric-key cryptography uses public and private keys
    • Substitution ciphers substitute characters
    • Transposition ciphers rearrange characters
    • Block ciphers encrypt data in blocks
    • SHA (Secure Hash Algorithm) is a one-way encryption hash function
    • MD5 (Message-Digest Algorithm 5) is a one-way encryption hash function

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    Description

    Learn about different types of errors and techniques used to correct them, including parity bits, checksums, cyclic redundancy checks, Hamming codes, and Reed-Solomon codes.

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