[Excalibur][Pandora][Mosaic] Ultra Spectrum Analyzer

29 янв.

veryfid, you will always be remembered eternally...


ANCIENT MYTHOS AND LORE:
The retellings of "Pandora's Box" serve as a cautionary metaphor depicting an opened container (pithos - jar) that once held profound perils and evils — sufferings that are experienced around the world in various forms. The known and vague mythical box contents actually represent manifestation of evils, situational adversities, and human disparities that have been encountered throughout life for aeons. In contemporary times, a meager list of ordeals would include incidents of deceit, betrayal, corruption, oppression, greed, envy, depravity, conflict, mania, affliction, plague, and mortality. However, as the tale is told, kept and remaining inside the box was the essence of expectant hope (elpis), which may represent the optimism and resilience to overcome immense hardships.

There are other versions of the classic story where Pandora isn't actually the culprit, being her husband Epimetheus was the lid lifting perpetrator and the one who always and actually received the gift(s). Curiously, the interpreted Greek word ‘Pandora’ translated to English, can mean either "all-endowed" or "all-gifting". Much like Pandora herself, who was formed from clay of the earth, the jar also would have been most likely crafted from clay. Conceived as a made-to-order maiden for an arranged marriage, Pandora was given qualities of exquisite beauty, persuasive charm, all while being adorned with jewelry and fine clothing. Olympian premeditated preparations in the didactic fable of 'Works and Days' by Hesiod had blamable intent and would be later used for centuries as denigration of women/mothers. The rest of Hesiod's tale is even worse.

In reality, the entire contrived exploit of incarnating Pandora as a trojan temptress was solely intended as an instrument of infiltration and entrapment for delivery to Epimetheus as an arranged seductive snare. Being a man myself, I find it appalling how the antiquated writings of ancient morphological men have repeatedly ostracized women for many of the ailments of mankind. When in truth, it is far more often that despicable men are the recorded all time winning historical harbingers of global abysmal darkness by means of ideological treachery. Vast historical chronicles since antiquity have frequently recorded who the typical real-world villains truly are and are not. As the stories are told in the first place, it was dictator Zeus along with his Olympian conspirators, who intently implanted malicious spirits into a gifted receptacle to orchestrate planetary suffering and carnage on humankind.


PROLOGUE:
I believe, it is way past overdue to restore Pandora's name to a place of better standing. As I have been peaking into a theoretical pitcher of mathematic mysteria for years now, where no one else dares to look. Once upon a time, I pondered an opposite notion: What if Pandora was originally conceived to solve global problems instead of creating them? Maybe Pandora could have been wielded into existence to wage unrelenting and avenging retribution on every dominance hierarchy and each diabolical enemy intently hostile to humankind. My hypothetical version of Pandora would take the notion of "mors omnibus tyrannis" to a whole other fearsome magnitude. She would cause evil arrogant men to tremble with sheer horror... the kind of fear ALL false gods, despotic kings, tyrannical dictators, controligarchies, and criminal syndicates truly worry about at night. In my opinion, that would be a better fictional story worthy of retelling for aeons.

One unique goliath 21st century adversary is LAG and it must be subdued or minimized. This unyielding nemesis is also known as group delay, processing delay, and algorithmic latency. My eyes are locked onto this opponent with fixation that will never surrender a staring contest. The formidable creature lag is my daily arch enemy destined for defeat in battle. It's losing time after time and bar by bar during the past year of 2023. In my attempts to peer through the murky darkness of useless and deceptive information, I am confident that I have found more suitable answers to many current dilemmas of algorithmic lag.

The internet, using mathematics and the speed of light as a planetary beneficial advantage, has already performed wonders by drastically reducing the delay of dissemination of knowledge. This has garnered a mostly positive rapid acceleration of economic evolution. However, hierarchies of dark forces of chaos and subversion by the thousands lurking in the global shadows are not thrilled about well informed populations. In the present era, new spectrums of strife within planetary societies are being waged, one of the worst forms taking the hideous form of censorship. Other nefarious tactics are hindering economic progress with substantial negativity using heavily funded penetration and infiltration operations. Those sinister operational varieties are spanning psychological, cultural, educational, digital, financial, electoral, scientific, medical, biological, commercial, infrastructural, institutional, and organizational domains.

They are mistakenly meddling with the entire primordial order of planetary natural dynamics. The miscalculations from these malevolent CAUSES will be countered with EFFECTS of immense retaliatory primal veracity having equal or exceedingly more powerful opposition with overwhelming numbers in mass. It is a law embedded within the universe that supersedes ALL laws, known as 'causality'. Everyone, especially programmers, know exactly what to do with predatory infiltrating cockroaches... When tyranny becomes enforced law by agendized policies in any land, order = abs(DUTY) * pow(RIGHT) * exp(PEOPLE).


FUTURE ECONOMIC ADVERSARIAL CHALLENGES:
Just as programmers have to critically analyze our code for BUGS, a scrutinized analysis of the current world around us is at times necessary. It is an empirical statistical fact that a few percent of captains at the helm of industry, commerce, institutes, and governance are monetarily psychopathic. They are often hidden bugs operating within national systems. The subsequent economic consequences result in effects that aren't always clearly obvious to all. Here are a few global economic security issues...

Corrupted immoral code in national operation is an inevitable breakdown waiting to happen. In the harsh future to follow, old degenerate interdependent control systems will need to be dismantled and discarded, eventually succeeded by having resilient parallel arrangements with robust independent fidelity. The coming successive paradigm shifts would include future hardware and the hefty novel algorithms that will run on them afterwards. Evolution is inevitable! The internet must be upgraded and continually programmed securely to the near hardness of diamonds at multiple layers within the operational code to retain peaceful global integrity between international collaborations.

DigitalID is never going to fix an insecure vulnerable titanic network of devices full of holes taking in megatons of water from every direction. Weaponized digital mucking ID dead on arrival is certainly NOT a one size fits all solution and it still doesn't do diddly-squat to secure the internet's DNA as executable code. DigID's real purpose is to manage servitude digitally and keep citizens right where they want them, as subservient slaves.

There is a very specific reason why we have key chain rings in OUR pockets with numerous private keys evolving technologically over time to robustly safeguard individual locks we use every day, duh. AI becoming an artificial sentient hyper intelligence may sooner or later become a potential hazard, especially if it breaks AES192 into a thousand shards of glass. Perilous aspects from artilects will emerge and are coming swiftly. AI is already being weaponized and tasked to mind muzzle expressions of human consciousness.

Also, EMPs from the sun ARE an imminent planetary threat, and no amount of carbon taxation schemes inciting anthropomorphic climate hysteria originating from falsified modeling hocus-pocus is going to protect against extreme solar cycle related X-class phenomena. Our solar system candle called the sun, is not consistently energy irradiation stable if you just glance at SOHO images/video. There are very obvious cyclical frequencies within the dynamics of the sun's energetic activity that affect planets far beyond earth. The earth already has a built-in natural thermometer indicating that oceans have been rising very linearly for thousands of years since the last ice age, submerging entire ancient cities under coastal water dozens of meters.

BEAR with me and pardon my French translation, but I have the option to call major league climate BULLshite. There is no hardcore "anthropomorphic climate crisis" proof. It is a crisis in failed modeling that is insufficient to properly estimate colossal computations with dircet limited empirical data with enough accuracy to anticipate higly probable future outcomes. People deserve solid science instead of slanderous smackdowns and slighted statistics. 400ppm of atmospheric CO2 is nothing compared to previously existing 1600ppm concentrations acquired from ancient indirect historical observations at a time when early humans were hunter gatherers driving gas guzzlers.

Western climate-monger fortune tellers are scamming every nation on earth, betraying the collective human species worldwide by climate hype strangulation. Wait until the sheeple with dinner forks turn on the rabid wolves in shepherds's clothing; it has already begun. What these predatory profiteering fraudsters are not telling you is WATER (H2O) in earth's atmosphere is the all time dominating and potent greenhouse gas, always has been, not CO2. Dr. Willie Soon has explained it in the best of ways with clarity. Misleaders, banksterCorpses, and mediaPresstitutes are immensely involved in this hot model scheme and like keeping people right where they want them, force fed with mental filth with regularly scheduled socially engineered programming.

Beware of agendas and isms. The ESGovernanceAgenda is ready made economic coffin nails. I'll explain this very simply, a future green war on carbon is a silent war on carbon lifeforms and economies. Many of the smiling faces you can actually see on the world stage pulling levers are often the coldest blooded deceivers beyond anything you can ever imagine. In truth, corporate agents and policies are the greatest devastators to ecologies, while in concert, they are incessantly waging blame campaign agendas with subversive narratives by targeting consumers as the wrongdoers.

Why am I mentioning all these adversarial difficulties? Well, the intertangling myriads of tomorrow's "bundle of burdens" in a future box ALL have to be thoroughly analyzed, sifted through, and dealt with tenaciously now and in the future by generations to come in every nation state. Some days I wonder if Hesiod's fiction was taken from reality over 2000 years ago to WARN future world inhabitants. In the scope of economics, the series of incidents that have or will lead up to major world events, will need to have the frequency of related occurrences examined that lead up to crucial points in time historically. In order to prevent future disparities, our progeny will look backwards into history with ultra clarity and vigilance to see how corrupted society once was by hordes of overlords twisted by obsessive delusions of absolute power over the entire human species. There is no human race, only diverse genetic multiformity expressed from the DNA code of humankind exists.

We can't simply put the lid back on low entropy hydroCarbons and a broadband globalNet without having an implemented proven replacement or upgrade. It's far too late, leaving only wiser security chess moves forward as the only viable options. Nikola Tesla was dreaming of this daily in order to build every foundation of modern civilization that we now enjoy today and take for granted. Humanity still has to evolve by unlocking hidden secrets of mother nature. For instance, nations powered by endless geothermal electricity and deuterium fusion WILL solve a lot of the world's problems. Imagine our world dominantly powered by extreme abundant amounts of heavy water... Lady destiny awaits and begs for the future to be built securely, by eventual abandonment of antiquated wheelworks that eventually deserve to be hurled into the annihilatory dustbin of history.


SPECTRAL BURDENS:
Ephemeral 'spectral contents' are extremely difficult to decipher with the least amount of lag, especially while they reside within a noise ridden non-stationary environment. When 'lifting the lid off' of series analysis to peek with quick discernment, distinguishing between real-time relevant signals differing from intertwining undesirable randomness in a crowded information space, requires special kinds of intricate extraction. Due to the nature of fractal chaos, any novel spectral method is better than the scanty few we have now. Firstly, let's comprehend agilities of interpreting a spectrum's structure...


SPECTRAL ANALYSIS PURPOSE AND INTENTION:
Frequency Analysis - Spectral analysis serves a crucial purpose in unraveling the frequency composition of a signal. Its primary intention is to explore the intricacies of a dataset by identifying dominant frequencies and unveiling inherent cyclical patterns. This foundational understanding forms the basis for improving analyses.

Power Spectrum Visualization - The visualization of a signal's power spectrum is a key objective in spectral analysis. By portraying how power is distributed across different frequencies, the goal is to provide a visual representation of the signal's energy landscape. This insight aids with grasping the significance of various frequency components obtained from a larger whole.

Signal Characteristics - Understanding the traits of a signal is another vital goal. Spectral analysis seeks to characterize the nature of the signal, unveiling its periodicity, trends, or irregularities. This knowledge is instrumental in deciphering the behavior of the signal over time, fostering a deeper comprehension.

Algorithmic Adaptation - Spectral analyzer estimation can play a pivotal role in algorithmic development. By assisting with the creation of algorithms sensitive to specific frequency ranges, one possible advantage is to enable real-time adaptability. This adaptability approach may allow algorithms to respond dynamically to variations in different spectral components, potentially enhancing their efficacy.

Market Analysis - In the realm of trading systems and financial markets, spectral analysis methods can serve as applicable functions when studying market dynamics. By 'uncovering' trends, cycles, and anomalies within financial instruments, this analytical proficiency can aid traders and algorithm developers with making better informed decisions based on the spectral attributes of market data.

Noise/Interference Detection - Another purpose of spectral analysis is to identify and scrutinize undesirable elements within a signal, such as noise or interference. One benefit would be to facilitate the development of strategies to mitigate or eliminate these unwanted components, ultimately refining the quality of a given signal with filtration.


INTRODUCTION:
Allow me to introduce Pandora! What you see in the demonstration above, I've named it "Pandora Periodogram", which is also referred to as 'Ultra Spectrum Analyzer' (USA) for technical minds. Firstly, this is NOT technically speaking an indicator like most others. I would describe it as an avant-garde cycle period detector obtaining accurate spectral estimates on market data with Pine Script v5.0. USA is a spectral analysis cryptid that I can only describe as being an alien saber in nature. It is my rendering of spectral wrath unleashed. With time and history to come, my HOPE is this instrument will reveal Excalibur like aspects capable of slicing up a spectrum craftily, traits long thought to be a mythical enigma.

It is not modified forms of either Autocorrelation Periodogram (ACP) or MESA. Pandora's Periodogram embodies an entirely distinct design, adorned with glamourous color, by incorporating several of my most profound, highly refined technological innovations that I have poetically composed into being. What I have forged in Pine, has essentially manifested as a zero lag spectrum analyzer. Pandora easily peeks inside a single signal source more effectively to inspect for hidden spectres, revealing invisible apparitions inside data with improved clarity...

My 'Ultra Spectrum Analyzer' bears an eerie likeness to Autocorrelation Periodogram, but it possesses no autocorrelation and the other small hindrances of ACP that I formerly encountered. While ACP does have a few shortcomings, a few bars of lag, and high frequency bias, it is still phenomenal code. ACP is one answer to spectral enigmas, but not the only one. Developers can utilize this detector by creating scripts that employ a "Dominant Cycle Source" input to adaptively govern algorithms. If you are capable of building suitable algorithms for direct tethering to Autocorrelation Periodogram, then this is your next step in evolutionary application to tether to when you are ready. ACP is a good place to start building upon as an exploratory vessel, before you might ponder using USA. Once you do obtain dynamic ACP sweetness with only a few pesky bars of dominant cycle induced lag, USA may be your tool chest choice without the burden of subtle ACP lag.

USA is possibly the end of my quest for spectral bliss, for the time being. However, I still suspect there is more room for upgrades to Pandora in the future. I must mention, as an overture, this won't be the last of Pandora tech that you will witness, as my literal "out of the box thinking" will unleash many additional creations upon this Earth. The "Power of Pine" merely serves as the beginning foundational phase... Some of my futuristic dreams and daydreams of TradingView are droplets in a wavy ocean of economic providence and potential.

What I am crafting in poetic form is born out of raw curiosity. Future creations are probably best kept private for now, but I will present my future tech with beauty and elegance as it should rightfully be. There's one catch, I have absolutely no idea what this and my future marvels may do to the future of digital signal processing (DSP) and markets. I do fear any insane AI or MALEficent entity ever seeing this code. My innermost hopes and ambitions are always focused on achieving the best result obtainable. What the future can hold, may be absolutely exquisite to gaze upon, maybe even monstrous, or possibly a combination of both.

Notice: Unfortunately, I will not provide any integration support into member's projects at all. My own projects demand too much of my day to day time. I hope you understand. Meanwhile, I'll be applying this on future indication until Mr. Mortality sneaks up behind me.


FEATURES AND CHARACTERISTICS:
I have included as much ultra adjustability as I can humanly muster. Those features being the following and more...

Color Preferences - Four vivid color schemes are available in the original release. The "Ultra Violet" color scheme, in particular, contributes to the indicator's technical title, as it seems to me to reveal the greatest detail of my various spectral color schemes. Color inversion of the four color schemes is also possible, yielding eight schemes in total with predator style visuals. Heatmap transparency control is also provided.

Lag Control - Pandora achieves zero lag spectral approximations, with the added capability to control lag using an input for selectable delay. Note, however, that testing less than zero lag has not been assessed thoroughly due to potential unforeseen instability concerns. Adjustments are provided in either direction for further testing.

Spectral Bias Mitigation - Options for mitigating high OR low-frequency spectral biases are present. One interesting tweak made during development was a subtle form of spectral manipulation, involving a partial reduction of frequency amplitudes influencing either the highest or lowest periodicities. This slightly reduces the impact on the upper and lower portions of the spectrogram and the dominant cycle measurement. What initially surfaced as an unexpected discovery, may now be considered worthy of experimental utility.

Adjustable Periodogram Window Size - The periodogram is adjustable for various window sizes of periodic operation. Exploration up to a periodicity of 59 is obtainable for curiosity's sake. This flexibility challenges the notion that curiosity isn't always a negative trait, contrasting with Hesiod's ancient perspective.

Dominant Cycle Filtration - Filtration of the dominant cycle is achieved with a novel smoother having reduced lag, easily surpassing SuperSmoother's performance. However, defeating lag completely on that one plot() function was elusive.

Tooltips for Control Intention - The settings commonly include handy and informative tooltips that provide information eluding to the intention behind the various controls provided.

Initialization Advantages - Initialization of USA accomplishes what Autocorrelation Periodogram (ACP) didn't. Spectral analysis begins on the earliest visible bars, starting at period 2. Users need to ensure their algorithm's integrity from period 2 upwards to beyond 40ish, establishing a viable operational range for dynamically governing those algorithms. It's notable that stochastics and correlations have a minimum operable critical period of 2, distinct from most low-pass filters that can actually achieve a period of 1 (which is the raw signal itself). Proper initialization of complex IIR filters is particularly effective, especially with smaller initialization periods.

Remaining options and features are comparable to my Enhanced Autocorrelation Periodogram in terms of comprehension, and other upgrades may be added in the future upon discovery.


PERIODOGRAM INTERPRETATION:
The periodogram heatmap renders a power spectrum of a signal visually by color, where the y-axis represents periodicity (frequencies/wavelengths) and the x-axis is delineating time. The y-axis is divided into periods, with each elevation portraying demarcation of periodicity. In this periodogram, the y-axis ranges from 4 at the very bottom to 49 (or greater) at the top, with intermediary values in between, all conveying power of the corresponding frequency component by color. The higher the position ascends on the y-axis, the longer the cycle period or lower the frequency. The x-axis of the periodogram signifies time and is partitioned into equal chart intervals, where each vertical column corresponds to the time interval when the signal was measured. Most recent values/colors are on the right side of the periodogram.

Intensity of the colors on the periodogram signify the power level of the corresponding frequency or cycle period. For example, the "Fiery Embers" color scheme is distinctly like heat intensity from any casual flame witnessed in a small fire from a lighter, match, or campfire. The most intense power exhibited would be represented by the brightest of yellow, while the lowest power would be indicated by the darkest shade of red or just black. By analyzing the pattern of colors across different periods, one may gain insights into the dominant frequency components of the signal and visually identify recurring cycles/patterns of periodicity.