Estimate values between known data points. SciPy Interpolation 1from scipy import interpolate 2import numpy as np 3 4x = np.array([0, 1, 2, 3, 4]) 5y = np.array([0, 1, 4, 9, 16]) 6 7# Linear 8f_linear = interpolate.interp1d(x, y, kind='linear') 9 10# Cubic spline 11f_cubic = interpolate.interp1d(x, y, …

Convert between continuous and discrete-time signals. Nyquist-Shannon Sampling Theorem A bandlimited signal with maximum frequency $f_{max}$ can be perfectly reconstructed if: $$ f_s \geq 2f_{max} $$ Reconstruction Ideal (Sinc Interpolation) $$ x(t) = \sum_{n=-\infty}^{\infty} x[n] \cdot \text{sinc}\left(\frac{t - …