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High speed data transmission is enabled by time and wavelength divisionmultiplexing. Here is introduced fractional dimension order of Nyquist pulsessequences for orthogonal time division multiplexing. Firstly, with arepresentation of the Nyquist sinc sequence by a cosine Fourier series, in oneside it is introduced the complementary Nyquist sinc sequences as a betteroption for data transmission. On the other side, a possibility of optical timedelay by an electrical phase shifter for optical time division multiplexing istheoretically demonstrated. In continue, the fractional dimensional order ofsignal is defined to open a new window for data transmission. Moving offunction in fractional dimension can be realized as a new freedom for a signalprocessing. In other words, dimension itself is a dimension. In this regard,dimensional transformation is introduced to give a mapping of the function indimensional domain or variations of function in fractional dimension. Thismapping gives more information about signal in different point of view likeFourier transformation. Then, the complementary fractional dimensional order ofNyquist sinc sequences is defined to reach higher data rate. It has not aunique solution, however; the best set of solutions for data transmission mustbe taken in to accounted. Furthermore, the trajectory of fractional dimensioncan be found by a numerical iterative algorithm which will be explained in theappendix.

Complementary Fractional Dimensional Order of Nyquist Sinc Sequences for Time Division Multiplexing