Fourier Smoothed Volume Zone Oscillator (FSVZO) [AlgoAlpha]

Description
The Fourier Smoothed Volume Zone Oscillator (FSVZO) is an implementation of the Discrete Fourier Transform in a Volume Zone Oscillator. Its purpose is to smooth price data and reduce noise to provide a more clear and accurate indication of price movement. This indicator also includes additional EMA smoothing to accurately depict reversals.

Discrete Fourier Transform
The Discrete Fourier Transform (DFT) is a mathematical algorithm used to convert discrete time-domain data into its frequency-domain representation. By decomposing a signal into its constituent frequencies, it reveals the amplitude and phase information associated with each frequency component.

Volume Zone Oscillator
The Volume Zone Oscillator is an indicator that combines volume and price data to provide insights into market trends and momentum. It calculates the difference between the volume traded above and below a specified price level and represents it as a line plot on the chart. The Volume Zone Oscillator helps traders identify periods of high buying or selling pressure and can be used to confirm trends, spot divergences, and generate trading signals. By analyzing the relationship between volume and price, traders can gain a deeper understanding of market dynamics and make more informed trading decisions.

Features
This indicator incorporates Ehler's Universal Oscillator concept and presents a histogram to provide valuable insights into the market's noise levels. Ehler's Universal Oscillator represents the statistical model that characterizes random and unpredictable market behavior. By utilizing this concept, the histogram enhances traders' ability to identify periods of increased or decreased volatility in the market.

How to use it?
Green dots and lines represent bullish price movement, while red dots and lines indicate bearish price movement. These signals gain additional strength when considering our oversold and overbought zones. Traders and investors can leverage these signals to initiate long positions when green signals coincide with oversold conditions, and vice versa. By combining these signals in synergy with Ehler's Universal Oscillator, a more precise representation of market trends can be achieved. To optimize its effectiveness, it is advisable to integrate this indicator with complementary technical analysis tools and incorporate it into a comprehensive trading strategy. Traders are encouraged to explore diverse settings and timeframes to align the indicator with their individual trading preferences and adapt it to prevailing market conditions.

Utility
By combining the FSVZO indicator with Ehler's white noise histogram, users gain a comprehensive perspective on volume-related market conditions. It empowers traders and investors to evaluate the intensity of buying or selling pressure, detect potential trend reversals or continuations, and ultimately make more informed trading decisions. This information can serve as confirmation or validation for other technical indicators, enabling traders to identify potential market turning points and enhance their comprehension of market dynamics.

The indicator offers several valuable applications, including the detection of divergence patterns between volume and price, identification of accumulation or distribution phases, and assessment of overall market trend strength. It accommodates various trading styles, such as swing trading, trend following, or mean reversion strategies. By leveraging these capabilities, traders can expand their toolkit and make more informed trading decisions.

Originality
The originality of the script lies in the combination of the Fourier analysis, white noise calculations, and the Volume Zone Oscillator. It provides a unique perspective on market dynamics and can be used to identify potential trading opportunities based on overbought and oversold conditions as well as trend reversals. Special thanks to @EliCobra for their assistance in the development of this indicator