Periodic Input in Python

Wave Function

$$u(t)=A\cdot \text{sgn}\left(\sin \left(\frac{2\pi t}{T}\right)\right)$$

• $A$ → Amplitude
• sign() → signum function that returns $\pm 1$ (for a square wave)
• T → Period

Code

def rectangular_input(t):
    return 0.1 * np.sign(np.sin(np.pi * t / 50))