Signal and its interpolation are required to be sampled at equispaced Signals will be poorly represented at the edges. The function signal is assumed to be periodic, and so non-periodic There are two significant limitations on Fourier interpolation. Interpft assumes that the interpolated function is periodic, and soДЄssumptions are made about the endpoints of the interpolation. If dim is specified, then interpolate along the dimension dim. N-dimensional array, the interpolation is performed on each column of TheДata in x is assumed to be equispaced. If x is a vector then x is resampled with n points. Interpolation methods for a step functionДЇourier interpolation, is a resampling technique where a signal isД¬onverted to the frequency domain, padded with zeros and thenДЇunction File: interpft ( x, n) Function File: interpft ( x, n, dim) 'linear' methods in all other cases, the x-values must beДЇigure 29.2: Comparison of the second derivative of the 'pchip' and 'spline' Or right-continuous interpolant, respectively.Дiscontinuous interpolation is only allowed for 'nearest' and The options 'left' or 'right' to select a left-continuous The continuity condition of the interpolant may be specified by using If x is decreasing, the default discontinuous If x is increasing, the default discontinuous interpolant is May be at most 2 consecutive points with the same value. There is an equivalence, such that ppval (interp1 ( x,Дuplicate points in x specify a discontinuous interpolant. Object can later be used with ppval to evaluate the interpolation. If the string argument 'pp' is specified, then xi should notД«e supplied and interp1 returns a piecewise polynomial object. Number, then replace values beyond the endpoints with that number. If extrap is the string 'extrap', then extrapolate valuesД«eyond the endpoints using the current method. This is usually faster,ДЄnd is never slower. To assume that x is uniformly spaced, and only x(1)ДЄnd x(2) are referenced. Interpolation with smooth first derivative.Д¬ubic spline interpolation-smooth first and second derivativesДЄdding вЂ™*вЂ™ to the start of any method above forces interp1 Piecewise cubic Hermite interpolating polynomial-shape-preserving Linear interpolation from nearest neighbors. If y is a matrix or an N-dimensionalДЄrray, the interpolation is performed on each column of y. If not specified, x is taken to be the indices of y Interpolate input data to determine the value of yi at the points Polynomial InterpolationДЄnd Interpolation on Scattered Data describe additional methods.ДЇunction File: yi = interp1 ( x, y, xi) Function File: yi = interp1 ( y, xi) Function File: yi = interp1 (вЂ¦, method) Function File: yi = interp1 (вЂ¦, extrap) Function File: yi = interp1 (вЂ¦, 'left') Function File: yi = interp1 (вЂ¦, 'right') Function File: pp = interp1 (вЂ¦, 'pp') Octave supports several methods for one-dimensional interpolation, most If you want linear interpolation instead of cubic interpolation( k=3, the default) you can specify k=1 as an argument.Next: Multi-dimensional Interpolation, Up: Interpolation This will most certainly not get you the values you indicate in your answer, as the original y-values are all in the range, so one would expect the output to also be in this range (for interpolated values) as pointed out by by default allows for extrapolation(see ext parameter). The output will be numpy arrays, which can then be put into a pandas dataframe. Interpolation_function = InterpolatedUnivariateSpline(x,y) For interpolation in Python you could use import numpy as npДЇrom scipy.interpolate import InterpolatedUnivariateSpline

How to interpolate between two numbers