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A signature of length l can be generated through the superposition of l bit sequences of length 1, i.e., the result of binary OR, where the l bit sequences are generated by a certain set of hash functionsb.
The destination produces a channel gain estimate ĥ and uses a Viterbi decoder to obtain the ML information bit sequence decision b ̂ = arg max b ~ p r | b = b ~, h = ĥ with b ~ belonging to the set of all 2 K b information bit sequences of length Kb.
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Information bit sequence of length is channel coded, bit interleaved, and mapped into the data-modulated symbols using quadrature phase-shift keying (QPSK) modulation scheme.
The information bit sequence of length M is channel coded with a coding rate R and mapped into the transmit data symbols, corresponding to quadrature phase shift keying (QPSK) modulation scheme.
The Hamming code is called a block code because information is blocked into bit sequences of finite length to which a number of redundant bits are added.
The input to the encoder at transmitter i can have any bit-sequence of length nγ i.
The input to the encoder at transmitter i can be any bit-sequence of length nγ i.
Consider a system transmitting non-interleaved coded information through a multipath channel of length L. A rate R c = k/n constraint length K convolutional encoder is used to produce a sequence c of coded bits of length N c from an uncoded bit sequence s of length N u.
Let a genotype be a sequence of 0's and 1's (a bit sequence) of a fixed length ν – then, all possible genotypes form a ν-dimensional sequence space.
Now suppose that the coded bits sequence is interleaved using a random interleaver, which produces a bit sequence ć of length N c, which is transmitted.
That is, the merging procedure allows to process sequences of length up to 16 gigabytes on a 32-bit computer.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com