Struct NormalApproximation 

pub struct NormalApproximation {
    pub capacity: f64,
    pub dispersion: f64,
    pub half_log: bool,
}

The normal approximation of the coding rate at finite blocklength of a channel of capacity capacity (bits per channel use) and dispersion dispersion (bits² per channel use), with the term $\frac{1}{2}\log_{2} n$ when half_log (see the module).

Fields

capacity: f64

The capacity $C$ (bits per channel use).

dispersion: f64

The dispersion $V$ (bits² per channel use).

half_log: bool

Whether the term $\frac{1}{2}\log_{2} n$ applies (all but the BEC).

Implementations

impl NormalApproximation

pub fn bsc(delta: f64) -> NormalApproximation

The binary symmetric channel of crossover probability delta.

pub fn bec(delta: f64) -> NormalApproximation

The binary erasure channel of erasure probability delta.

pub fn awgn(snr_lin: f64) -> NormalApproximation

The real AWGN channel of SNR snr_lin with Gaussian codebooks.

pub fn biawgn(noise_var: f64) -> NormalApproximation

The binary-input AWGN channel of noise variance noise_var per dimension.

pub fn max_bits(&self, n: usize, eps: f64) -> f64

$\log_{2} M^{*}(n, \varepsilon)$: the largest number of information bits of a code of length n at the block error probability eps.

pub fn block_error(&self, n: usize, k: usize) -> f64

The smallest block error probability of a code of length n carrying k bits.

pub fn blocklength(&self, rate: f64, eps: f64) -> Option<f64>

The smallest blocklength that reaches the rate rate (bits per channel use) at the block error probability eps (real-valued, by bisection), or None beyond capacity.

Trait Implementations

impl Clone for NormalApproximation

fn clone(&self) -> Self

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for NormalApproximation

impl Debug for NormalApproximation

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl PartialEq for NormalApproximation

fn eq(&self, other: &Self) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl StructuralPartialEq for NormalApproximation