Signal Reconstruction in Multicarrier Comunications by Means of the Discrete Cosine Transform Type-III Even

In this work, we address the problem of signal recovery in Multicarrier Modulation (MCM) with the Discrete Cosine Transform Type-III even (DCT3e). By appending one zero to the transmitted symbol, our technique provides a perfect reconstruction of the original signal at the receiver (in the absence of noise), after a simple procedure by using exclusively the DCT3e. We propose a matrix formulation which allows the diagonalization of the channel via the DCT3e; moreover, the one-tap per subcarrier coefficients for the reconstruction are also obtained by means of the DCT3e. We provide theoretical results and present simulations, using ITU-T's pedestrian channel B, which show the good behaviour of the proposed reconstruction algorithm.