The computerization and digital signal processing development let improve
classical indicators essentially due to application of modern methods of
information processing to prices. Indicators began to smooth better and to delay
less. However Holy Grail has failed. First, the prices are non stationary, i.e.
the characteristics of filters are varied during the time. Second, as different
from technical problems, the kind of a signal and noise distributions for the
price are unknown, i.e. nobody know what to filter actually. Third, being
filtered by means of Fourier and similar methods prices change the previous
values to the addition of the new data: we receive ideal trends under a history
data but we can only trade them from right hand to left hand.
Fourier transformation is based on representation of initial series by the
infinite sum of sinusoids with a various phase, amplitude and frequency.
Recently wavelet transformations was widely adopted in various areas of data
processing in which initial series are represented as the sum of some locally
defined functions named wavelets. They are constructed by shifting and vertical
and horizontal scaling of certain the prototype function. Wavelet
transformation, in essence, is fractal that allows the effective using it in the
technical analysis. First, it allows to carry out the multiscale analysis of
prices, objectively identify trends on various scales by duration and amplitude,
separate traders to various groups: scalpers, day traders, swing traders,
position traders and long-term investors. The multiscale analysis can be
interpreted as the analysis on various time frames. Second, it allows determine
noise as the insufficient for reception of the profit amplitude and frequency
movement of the prices that effectively allows filter the price series simply
subtracting the lowest scale wavelets from it. Third, the additional filtration
of white noise without delay is possible. Fourth, long-term trends are defined
objectively. Fifth, wavelets do not contain optimized parameters in construct to
standard indicators. Sixth, the used wavelets type is adapted to deal with the
time ordered data and does not distorted on the last price values. Seventh, the
used wavelet transformation is very effective computationally that allows use it
in real time for the large massives of tick data. Eighth, it is effective to use
wavelets as input data for neural networks and other methods of forecasting and
recognition.