Discrete interpolation using the discrete cosine transform with the mapping of the boundary conditions

Discrete interpolation between successive samples of a sequence of real numbers by using the sinusoidal transforms have been an interesting topic in digital signal processing. The accuracy of discrete interpolation by using the discrete cosine transform of type I can be greatly improved with the aid of the mapping of the input data sequence to the one that satisfies the boundary conditions. In this article, the critical boundary conditions is set, and the corresponding mapping for the input data is also developed. The simulation of two typical examples shows that the accuracy of this proposed algorithm is more accurate than any other existing increased accuracy algorithms by using the sinusoidal transforms.<>