Digital Signal Processing Reference
In-Depth Information
The complex indicator sequence transforms the sequence into four digital patterns with as‐
sociated weights. It is worth mentioning that this indicator sequence provided close range
estimation for nucleotides in the literature.
This signal is then passed through the steps of windowed STFT for exonic prediction spec‐
tral analysis. This helps to extend the length of the signal to a target length so that perfect
analysis could be performed over the signal.
Figure 6 shows that signal has been extended to a desired length. The length of signal was
8000 patterns. The convolution method suggests that to perform a better approximation, the
signal should be extended to 8192 patterns. The signal should be mapped employing Kaiser
Window of length 351 base pairs. The previous power of two shows a numerical value 4096
which truncates the signal from its original length. Truncation phenomenon can degrade the
results and may bring faulty approximation that would lead to differ from the standard
range of exons.
Figure 7 depicts the wavelet sketch for db3 wavelet. Scaling and wavelet functions have
been described. Decomposition of low pass filter and high pass filters have been identified,
similarly signal synthesis for low and high pass filters have been shown. This sketch demon‐
strates that signal should be passed through these defined filters to further analyze it for
denoising and enhancement. The upward and downward curves self explains the convolu‐
tion of signal with the window function at desired location of nucleotides.
Figure 6.
Signal extension to desired length
