code: def welch(
      x: Array,
      fs: ArrayLike = 1.0,
      window: str = "hann",
      nperseg: int | None = None,
      noverlap: int | None = None,
      nfft: int | None = None,
      detrend: str = "constant",
      return_onesided: bool = True,
      scaling: str = "density",
      axis: int = -1,
      average: str = "mean",
  ) -> tuple[Array, Array]:
      freqs, Pxx = csd(
          x,
          None,
          fs=fs,
          window=window,
          nperseg=nperseg,
          noverlap=noverlap,
          nfft=nfft,
          detrend=detrend,
          return_onesided=return_onesided,
          scaling=scaling,
          axis=axis,
          average=average,
      )
  
      return freqs, Pxx.real
  
imports: from __future__ import annotations
  from collections.abc import Sequence
  from functools import partial
  import math
  import operator
  from typing import Callable
  import warnings
  import numpy
  import scipy.signal
  from scipy.fft import next_fast_len
  import jax
  import jax.numpy.fft
  import jax.numpy
  from jax import lax
  from jax._src.api_util import _ensure_index_tuple
  from jax._src import dtypes
  from jax._src.lax.lax import PrecisionLike
  from jax._src.numpy import linalg
  from jax._src.numpy.util import check_arraylike, _wraps, promote_dtypes_inexact, promote_dtypes_complex
  from jax._src.third_party.scipy import signal_helper
  from jax._src.typing import Array, ArrayLike
  from jax._src.util import canonicalize_axis, tuple_delete, tuple_insert
label_desc: Use image node_id 14 for calling a global function with example usage: welch(x, fs, window, nperseg, noverlap, nfft, detrend, return_onesided, scaling, axis, average) and returns: freqs,  Pxx