Lagrange polynomial interpolation estimates the value of a Discrete-Time Signal in-between its integer sample positions by constructing a Polynomial Function that “connects the dots”.
- Cubic Polynomials are the default order that is commonly used for algorithms involving this method
- Higher order polynomials are capable of fitting a larger Window of samples, and consequently cover a larger neighborhood of samples per function, e.g. a linear function would only cover a neighborhood between two samples whereas a cubic function might cover a neighborhood over several samples.