code: def _dhtm(mag):
      """Compute the modified 1-D discrete Hilbert transform
  
      Parameters
      ----------
      mag : ndarray
          The magnitude spectrum. Should be 1-D with an even length, and
          preferably a fast length for FFT/IFFT.
      """
      # Adapted based on code by Niranjan Damera-Venkata,
      # Brian L. Evans and Shawn R. McCaslin (see refs for `minimum_phase`)
      sig = cupy.zeros(len(mag))
      # Leave Nyquist and DC at 0, knowing np.abs(fftfreq(N)[midpt]) == 0.5
      midpt = len(mag) // 2
      sig[1:midpt] = 1
      sig[midpt + 1 :] = -1
      # eventually if we want to support complex filters, we will need a
      # cupy.abs() on the mag inside the log, and should remove the .real
      recon = ifft(mag * cupy.exp(fft(sig * ifft(cupy.log(mag))))).real
      return recon
  
file_path: cupy/cupyx/scipy/signal/_fir_filter_design.py
imports: import math
  from cupy.fft import fft, ifft
  from cupy.linalg import solve, lstsq, LinAlgError
  from cupyx.scipy.linalg import toeplitz, hankel
  import cupyx
  from cupyx.scipy.signal.windows import get_window
  import cupy
  import numpy
label_desc: Use image node_id 7 for calling a global function with example usage: _dhtm(mag) and returns: recon