Source code for ran.phy.jax.utils.awgn
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"""AWGN Channel."""
import jax
import jax.numpy as jnp
[docs]
def awgn(rng: jax.Array, H: jax.Array, snr_db: float) -> jax.Array:
"""Add AWGN to channel (JAX version).
Args:
rng: JAX PRNG key
H: Channel with shape (n_sc, n_sym, n_ant) complex
snr_db: SNR in dB
Returns:
Noisy channel
"""
# Calculate noise power
signal_power = jnp.mean(jnp.abs(H) ** 2)
snr_linear = 10 ** (snr_db / 10)
noise_power = signal_power / snr_linear
# Generate complex noise
rng_real, rng_imag = jax.random.split(rng)
noise_real = jax.random.normal(rng_real, H.shape)
noise_imag = jax.random.normal(rng_imag, H.shape)
noise = jnp.sqrt(noise_power / 2) * (noise_real + 1j * noise_imag)
return H + noise