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The orthogonal design of a Cyclic Block Filtered Multititone Modulation(CB-FMT) system is addressed. CB-FMT is a filter bank modulation scheme thatuses frequency confined prototype pulses, similarly to Filtered MultitoneModulation (FMT). Differently from FMT, where the linear convolution is used,the cyclic convolution is exploited in CB-FMT. This allows to efficientlyimplement the system via a concatenation of discrete Fourier transforms (DFT).The necessary and sufficient orthogonality conditions are derived in timedomain and frequency domain. Then, these conditions are expressed in matrixform and the prototype pulse coefficients are parameterized withhyper-spherical coordinates. The effect of a linear time-variant transmissionmedium is discussed. In such a scenario, the optimal filter bank orthogonaldesign is considered with the objective of maximizing either thein-band-to-out-band sub-channel energy ratio or the achievable rate. Numericalresults and comparisons show the performance improvements attainable withseveral designed optimal pulses also w.r.t. the use of the baselineroot-raised-cosine pulse.

Orthogonal Design of Cyclic Block Filtered Multitone Modulation