A phase locking value (PLV) in electrocorticography is an essential indicator for analysis of cognitive activities and detection of severe diseases such as seizure of epilepsy. The PLV computation requires a simultaneous pursuit of high-throughput and low-cost implementation in hardware acceleration. The PLV computation consists of bandpass filtering, Hilbert transform, and mean phase coherence (MPC) calculation. The MPC calculation includes trigonometric functions and divisions, and these calculations require a lot of computational amounts. This paper proposes an MPC calculation method that removes high-cost operations from the original MPC with mathematically identical derivations while the conventional methods sacrifice either computational accuracy or throughput. This paper also proposes a hardware implementation of MPC calculator whose latency is 21 cycles and pipeline interval is five cycles. Compared with the conventional implementation with the same standard cell library, the proposed implementation marks 2.8 times better hardware implementation efficiency that is defined as throughput per gate counts.

A brief review is given on a crossover in transport between quantum and classical regimes due to the presence of inelastic scattering destroying the phase coherence. In the integer quantum Hall effect, the quantum regime corresponds to the edge-current picture and the classical to the bulk Hall current picture. The crossover between two regimes occurs through inelastic scattering. In a metallic carbon nanotube, there is a perfectly transmitting channel independent of energy for conventional scatterers having potential range larger than the lattice constant, making the nanotube a perfect conductor. When several bands coexist at the Fermi level, such a perfect channel is destroyed by inelastic scattering.