Audio Spectrum Complex Peaks

import matplotlib.pyplot as plt
import numpy as np

np.random.seed(456)

# Audio frequency spectrum peaks
n = 35
frequencies = np.linspace(20, 20000, n)
magnitude = np.random.exponential(0.5, n) * (1 + 2 * np.exp(-(frequencies - 1000)**2 / 500000))
phase = np.random.uniform(-np.pi, np.pi, n)

# Convert to 3D coordinates
x = np.log10(frequencies)
y = magnitude * np.cos(phase)
z = magnitude * np.sin(phase)

fig = plt.figure(figsize=(10, 8), facecolor='#0a0a0f')
ax = fig.add_subplot(111, projection='3d', facecolor='#0a0a0f')

markerline, stemlines, baseline = ax.stem(x, y, z, linefmt='-', markerfmt='o', basefmt=' ')
plt.setp(stemlines, color='#ec4899', linewidth=1.5, alpha=0.7)
plt.setp(markerline, color='#f472b6', markersize=7)

ax.set_xlabel('log₁₀(Frequency)', color='white', fontsize=10)
ax.set_ylabel('Real Component', color='white', fontsize=10)
ax.set_zlabel('Imaginary Component', color='white', fontsize=10)
ax.set_title('Audio Spectrum Complex Peaks', color='white', fontsize=14, fontweight='bold', pad=20)

ax.tick_params(colors='#64748b', labelsize=8)
ax.xaxis.pane.fill = False
ax.yaxis.pane.fill = False
ax.zaxis.pane.fill = False
ax.xaxis.pane.set_edgecolor('#1e293b')
ax.yaxis.pane.set_edgecolor('#1e293b')
ax.zaxis.pane.set_edgecolor('#1e293b')

ax.view_init(elev=25, azim=45)
plt.tight_layout()
plt.show()