Library reference

Algebra

• BinaryPolynomial – Binary polynomial.
• BinaryPolynomialFraction – Binary polynomial fraction.
• FiniteBifield – Finite field with binary characteristic.

Channels

• AWGNChannel – Additive white Gaussian noise (AWGN) channel.
• DiscreteMemorylessChannel – General discrete memoryless channel (DMC).
• BinarySymmetricChannel – Binary symmetric channel (BSC).
• BinaryErasureChannel – Binary erasure channel (BEC).
• ZChannel – Z-channel.

Error control

Block coding

• BlockCode – General binary linear block code.
• SystematicBlockCode – Systematic linear block code.
• CyclicCode – General binary cyclic code.
• HammingCode – Hamming code.
• SimplexCode – Simplex (maximum-length) code.
• GolayCode – Binary Golay code.
• RepetitionCode – Repetition code.
• SingleParityCheckCode – Single parity-check code.
• CordaroWagnerCode – Cordaro–Wagner code.
• ReedMullerCode – Reed–Muller code.
• BCHCode – Bose–Ray-Chaudhuri–Hocquenghem (BCH) code.
• Lexicode – Lexicographic code (lexicode).
• SlepianArray – Slepian array (standard array) for a linear block code.

Block decoders

• BCJRDecoder – Bahl–Cocke–Jelinek–Raviv (BCJR) decoder for terminated convolutional codes.
• BerlekampDecoder – Berlekamp decoder for BCH codes.
• ExhaustiveSearchDecoder – Exhaustive search decoder for general block codes.
• ReedDecoder – Reed decoder for Reed-Muller codes.
• SyndromeTableDecoder – Syndrome table decoder for general block codes.
• ViterbiDecoder – Viterbi decoder for terminated convolutional codes.
• WagnerDecoder – Wagner decoder for single parity-check codes.

Convolutional coding

• ConvolutionalCode – Binary convolutional code.
• TerminatedConvolutionalCode – Terminated convolutional code.
• ConvolutionalStreamEncoder – Convolutional stream encoder.
• ViterbiStreamDecoder – Convolutional stream decoder using Viterbi algorithm.

Checksum

• CyclicRedundancyCheck – Cyclic redundancy check (CRC) [Not implemented yet].

Finite-state machines

• FiniteStateMachine – Finite-state machine (Mealy machine).

Modulation

• Modulation – General modulation scheme.
• PAModulation – Pulse-amplitude modulation (PAM).
• QAModulation – Quadrature-amplitude modulation (QAM).
• ASKModulation – Amplitude-shift keying (ASK) modulation.
• PSKModulation – Phase-shift keying (PSK) modulation.
• APSKModulation – Amplitude- and phase-shift keying (APSK) modulation.

Pulse formatting

Pulses

• Pulse – General pulse [Not implemented yet].
• RectangularPulse – Rectangular pulse.
• ManchesterPulse – Manchester pulse.
• SincPulse – Sinc pulse.
• RaisedCosinePulse – Raised cosine pulse.
• RootRaisedCosinePulse – Root raised cosine pulse.
• GaussianPulse – Gaussian pulse.

Filtering

• TransmitFilter – Transmit filter (pulse shaping).
• ReceiveFilter – Receive filter [Not implemented yet].

Sequences

Binary sequences

• BinarySequence – General binary sequence.
• BarkerSequence – Barker sequence.
• WalshHadamardSequence – Walsh–Hadamard sequence.
• LFSRSequence – Linear-feedback shift register (LFSR) sequence.
• GoldSequence – Gold sequence [Not implemented yet].
• KasamiSequence – Kasami sequence [Not implemented yet].

Complex sequences

• ComplexSequence – General complex sequence.
• ZadoffChuSequence – Zadoff–Chu sequence.

Source coding

Lossless coding

• FixedToVariableCode – Fixed-to-variable length code.
• HuffmanCode – Binary Huffman code.
• VariableToFixedCode – Variable-to-fixed length code.
• TunstallCode – Binary Tunstall code.

Quantization

• ScalarQuantizer – General scalar quantizer.
• LloydMaxQuantizer – Lloyd–Max scalar quantizer.
• UniformQuantizer – Uniform scalar quantizer.

Sources

• DiscreteMemorylessSource – Discrete memoryless source (DMS).

Utilities

• bits_to_int – Converts a bit array to its integer representation (LSB first).
• int_to_bits – Converts an integer, or array of integers, to their bit representations (LSB first).
• gaussian_q – Computes the Gaussian Q-function.
• gaussian_q_inv – Computes the inverse Gaussian Q-function.
• marcum_q – Computes the Marcum Q-function.
• autocorrelation – Computes the autocorrelation $R[\ell]$ of a real or complex sequence $x[n]$.
• cyclic_autocorrelation – Computes the cyclic autocorrelation $\tilde{R}[\ell]$ of a real or complex sequence $x[n]$.
• entropy – Computes the entropy of a random variable with a given pmf.
• binary_entropy – Computes the binary entropy function.
• relative_entropy – Computes the relative entropy (Kullback–Leibler divergence) between two pmfs.