Theoretically, there are many ways to compute the DFT rule in (1) and (2), however, in this work a
FFT algorithm is employed to compute the DFT of an input ECG sequence, x[n].
Due to their inherent parallelism and reconfigurability, FPGAs are attractive for accelerating FFT computations, since they fully exploit the parallel nature of the
FFT algorithm. FPGAs are particularly an attractive target for medical and biomedical imaging apparatus and instruments such as electron microscopes and tomographic scanners.
It is found that considering the constraints of the
FFT algorithm when choosing [gamma] can yield calculation speed-ups.
In order to conclude the system it is enabled to reduce the harmonic defects using the Total Harmonic Distortion (THD) in the source side of the 110kV substation which has been detected by
FFT Algorithm and compensated by using the Shunt Active Filter.
The proposed architecture implements the
FFT algorithm, for sizes in correspondence with N = 2"s ranging from 16 through 1024 with various combinations.
The algorithm introduced in Section 3.3 is based on the
FFT algorithm and does not require solving an optimization problem.
These data symbols are converted from serial to parallel format and then
FFT algorithm is applied, described in eq.
In the
FFT algorithm, the complex floating point add, subtract, and multiply operations shown in figure 1 can be realized with a discrete implementation that uses three reversible single precision floating point adders to perform the complex add and four reversible single precision floating point multipliers and three reversible single precision floating point subtractors to perform the complex subtract.
For the past decades, there were several attempts to parallelize the
FFT algorithm which was mostly based on parallelizing each stage (iteration) of the FFT process [26-28].
For the latter, we suppose to use the
FFT algorithm due to the discrete nature of the simulation.
The
FFT algorithm used for obtaining spatial information of a digital image works as follows: