Deck 9: Source Coding

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Question
The pseudo-random number generator equation given by The pseudo-random number generator equation given by   with the seed   _______.<div style=padding-top: 35px> with the seed The pseudo-random number generator equation given by   with the seed   _______.<div style=padding-top: 35px> _______.
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Question
What is the encrypted form of the following binary data sequence using the random binary
sequence shown? What is the encrypted form of the following binary data sequence using the random binary sequence shown?  <div style=padding-top: 35px>
Question
Compute the effective source entropy Compute the effective source entropy   of the source producing following 20- symbol sequence AAABAAACAAADAAAEAAAF<div style=padding-top: 35px> of the source producing following 20-
symbol sequence
AAABAAACAAADAAAEAAAF
Question
Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol
is the sum, with Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The probability of the source producing   equals _______.<div style=padding-top: 35px> corresponding to sum =0, Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The probability of the source producing   equals _______.<div style=padding-top: 35px> to sum = 1, etc.The probability of the source
producing Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The probability of the source producing   equals _______.<div style=padding-top: 35px> equals _______.
Question
Compute the effective file entropy Compute the effective file entropy   (xx.x bits) of the file that contains the following symbol sequence AAABAAACAAADAAAEAAAF<div style=padding-top: 35px> (xx.x bits) of the file that contains the following symbol
sequence
AAABAAACAAADAAAEAAAF
Question
Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol
is the sum, with Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The source entropy equals HS= ________(x.xx) bits/symbol?<div style=padding-top: 35px> corresponding to sum =0, Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The source entropy equals HS= ________(x.xx) bits/symbol?<div style=padding-top: 35px> to sum = 1, etc.The source entropy equals HS=
________(x.xx) bits/symbol?
Question
Four coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is
the sum, with Four coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The number of unique symbols is _______.<div style=padding-top: 35px> corresponding to sum =0, Four coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The number of unique symbols is _______.<div style=padding-top: 35px> to sum = 1, etc.The number of unique symbols is
_______.
Question
Compute the value of the encryption key using the following values: N = 13, a = 7, x = 8, and y = 5.
The value of the key equals K=______.
Question
Consider the Huffman code tree given by Consider the Huffman code tree given by   The symbols represented by the following binary sequence   is the list _______.<div style=padding-top: 35px> The symbols represented by the following binary sequence Consider the Huffman code tree given by   The symbols represented by the following binary sequence   is the list _______.<div style=padding-top: 35px> is the list _______.
Question
What are the effective probabilities of the symbols in the following 20-symbol sequence? What are the effective probabilities of the symbols in the following 20-symbol sequence?  <div style=padding-top: 35px>
Question
Consider the Huffman code tree given by Consider the Huffman code tree given by   The binary sequence generated by the symbols BAEDC is ______________?<div style=padding-top: 35px> The binary sequence generated by the symbols BAEDC is ______________?
Question
A source produces symbols A, B, and C having probabilities A source produces symbols A, B, and C having probabilities  <div style=padding-top: 35px>
Question
Using the pseudo-random number generator equation given by Using the pseudo-random number generator equation given by  <div style=padding-top: 35px>
Question
Four coins are flipped.Each coin tail is recorded as a 0 and a head as a 1.The number of possible
coin combinations is _______.
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Deck 9: Source Coding
1
The pseudo-random number generator equation given by The pseudo-random number generator equation given by   with the seed   _______. with the seed The pseudo-random number generator equation given by   with the seed   _______. _______.
2
What is the encrypted form of the following binary data sequence using the random binary
sequence shown? What is the encrypted form of the following binary data sequence using the random binary sequence shown?
3
Compute the effective source entropy Compute the effective source entropy   of the source producing following 20- symbol sequence AAABAAACAAADAAAEAAAF of the source producing following 20-
symbol sequence
AAABAAACAAADAAAEAAAF
4
Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol
is the sum, with Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The probability of the source producing   equals _______. corresponding to sum =0, Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The probability of the source producing   equals _______. to sum = 1, etc.The probability of the source
producing Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The probability of the source producing   equals _______. equals _______.
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5
Compute the effective file entropy Compute the effective file entropy   (xx.x bits) of the file that contains the following symbol sequence AAABAAACAAADAAAEAAAF (xx.x bits) of the file that contains the following symbol
sequence
AAABAAACAAADAAAEAAAF
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6
Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol
is the sum, with Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The source entropy equals HS= ________(x.xx) bits/symbol? corresponding to sum =0, Four fair coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The source entropy equals HS= ________(x.xx) bits/symbol? to sum = 1, etc.The source entropy equals HS=
________(x.xx) bits/symbol?
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7
Four coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is
the sum, with Four coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The number of unique symbols is _______. corresponding to sum =0, Four coins are flipped.Each coin tail is recorded as a 0 and a head as a 1 and the source symbol is the sum, with   corresponding to sum =0,   to sum = 1, etc.The number of unique symbols is _______. to sum = 1, etc.The number of unique symbols is
_______.
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8
Compute the value of the encryption key using the following values: N = 13, a = 7, x = 8, and y = 5.
The value of the key equals K=______.
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9
Consider the Huffman code tree given by Consider the Huffman code tree given by   The symbols represented by the following binary sequence   is the list _______. The symbols represented by the following binary sequence Consider the Huffman code tree given by   The symbols represented by the following binary sequence   is the list _______. is the list _______.
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10
What are the effective probabilities of the symbols in the following 20-symbol sequence? What are the effective probabilities of the symbols in the following 20-symbol sequence?
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11
Consider the Huffman code tree given by Consider the Huffman code tree given by   The binary sequence generated by the symbols BAEDC is ______________? The binary sequence generated by the symbols BAEDC is ______________?
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12
A source produces symbols A, B, and C having probabilities A source produces symbols A, B, and C having probabilities
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13
Using the pseudo-random number generator equation given by Using the pseudo-random number generator equation given by
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14
Four coins are flipped.Each coin tail is recorded as a 0 and a head as a 1.The number of possible
coin combinations is _______.
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