Symbols glossary¶

Symbol	Name	Appears in
\(\alpha\)	Hénon constant term (generalised form)	`henon_generalised()`, `lyapunov_henon2d()`, `_sweep_kernel()`
\(\beta\)	Hénon coupling / dissipation parameter	`henon_generalised()`, `lyapunov_henon2d()`, `_sweep_kernel()`
\(a\)	Hénon nonlinear parameter (classic form)	`henon_standard()`
\(b\)	Hénon coupling parameter (classic form)	`henon_standard()`
\(\mu\)	Modulation depth	`transmit()`, `receive()`
\(N_z\), \(N_s\), \(N\)	FIR filter order (number of taps)	`_sweep_kernel()`, `precompute_fir_bank()`
\(\omega_c\), \(f_c\)	Normalised cutoff frequency, \(\omega_c / \pi \in (0, 1)\)	`precompute_fir_bank()`, `InternalFIRConfig()`
\(c_k\), \(b_k\)	FIR filter coefficients	`henon_order_n()`, `_henon_nN_inplace()`
\(G\)	Filter DC gain, \(G = \sum_k c_k\)	`_sweep_kernel()`, `_fixed_point()`
\(u_n\)	FIR filter output, \(u_n = \sum_k c_k x_{n-k}\)	`henon_order_n()`, `_henon_nN_inplace()`
\(x_n, y_n\)	Hénon map state variables	`henon_standard()`, `lyapunov_henon2d()`
\(\lambda_1\), \(\lambda_{\max}\)	Largest Lyapunov exponent	`lyapunov_henon2d()`, `_sweep_kernel()`
\(s[n]\)	Transmitted (modulated) signal	`transmit()`
\(r[n]\)	Received signal (after channel)	`receive()`, `awgn()`
\(m[n]\)	Original binary message	`binary_message()`
\(\hat{m}[n]\)	Recovered message estimate	`receive()`
\(\beta_K\)	Kaiser window shape parameter	`precompute_fir_bank()`, `run_beta_sweep()`
\(N_{\text{discard}}\)	Burn-in (transient discard) iterations	`lyapunov_henon2d()`, `LyapunovConfig()`
\(N_{\text{IC}}\)	Number of initial conditions in ensemble	`lyapunov_henon2d_ensemble()`, `_sweep_kernel()`
\(\text{SNR}\), \(E_b/N_0\)	Signal-to-noise ratio (dB)	`awgn()`
\(\text{BER}\)	Bit error rate	`receive()` (via MSE proxy)