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A Hilbert transformer is built by using the digital filter design (DFD) Remez Design virtual instrument (VI) of the DFD toolkit.
We present the design and analysis of a wideband and tunable optical Hilbert transformer (OHT) using a tunable waveguide-based finite-impulse response (FIR) filter structure by using the digital filter design method and the Remez algorithm.
An attenuation of −60 dB is achieved at 50 Hz using the digital filter.
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The frequency-compensated seismogram obtained using the digital compensation filter described by Eq. (2) is shown by a black line in Fig. 4(b).
In the demonstration, the specific impulse response that is used for the digital filter, or discreet-time filter, is the one that I show here.
To cut off noises in the testing data and make the ambient signals more stationary, the Chebyshev digital filter was used instead of the digital filter with a Hanning window.
Windows used to shape the digital filter's frequency response are described in detail, with equations for all the popular types.
Moreover, we point out that equiripple minimum phase digital filters consume more hardware resources than Chebyshev type II digital filters, although the first one deal better with the field-programmable gate array constraints when more bits are used to implement the digital filter.
Training sets of 6000 coincident and 6000 noncoincident time-traces were used to generate the digital filter shown in Figure 2. Three representative images of each of the training set data are also shown in the figure.
Noise was reduced by 40dBB (equivalent to a 99 % reduction in noise amplitude on a linear scale) using the NoiseBuster digital filtering in the BioPAK program, which automatically removes 99%% of any remaining 50/60 Hz noise (and harmonics) still present in the recorded data at analysis [ 14, 15].
An alternative classification is based on the type of algorithm the digital filter is using: autoregression (AR), a moving average (MA), or both (ARMA).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com