OT AI

[Jan Waclawek]

Toto je OT, lebo z AI z principu nemoze vypadnut nic rozumne. Ale zabava s
tym byt moze.

Takze som sa hral s gemini od gugla a dal som mu tu otazku co sme tu
preberali o tom trojuholniku co ma len parne (sude) harmonicke.

V podstate zacal spravne:

Generating a triangular waveform with only even harmonics is not directly
possible in the traditional sense. A pure triangular waveform, by
definition, contains both odd and even harmonics.

Kebyze tu prestane, normalne by som povedal, fajn, odpoved ako z prvej
stranky co gugl najde, vsetko sedi. Ale nie, on blbec to ma nutkanie to
rozviest.

However, there are different approaches to achieve a waveform that
resembles a triangular wave but only consists of even harmonics:

Fajn, ze by to teda mohlo pripominat trojuholnik, no preco nie. Skusme si
to vypocut.

1. Modified Square Wave:

    Generate a square wave with 50% duty cycle (equal on and off times).
    Filter out all odd harmonics using a bandpass filter tuned to pass only
even multiples of the fundamental frequency.
    The resulting waveform will appear close to a triangular wave, but not
perfectly symmetrical due to limitations of perfect filtering.

Cize to mame tvrdy vyhadzov z elementarnej matematiky. Podme dalej, mozno
sa nieco zaujimave este dozvieme

2. Sum of Even Harmonics:

    Calculate the amplitude of each even harmonic using its inverse
harmonic number (1/2, 1/4, 1/6, etc.).
    Sum the individual even harmonics at their respective frequencies.
    This approach requires more complex processing but offers potentially
better control over the shape of the resulting waveform.

https://www.desmos.com/calculator/g5ixmigqfx nie, toto trojuholnik
nepripomina ani zdaleka (znova, je tam verzia zahrnujuca fundamentalnu a
aj bez nej)

3. Digital Synthesis:

    Use a digital synthesis technique like DDS (Direct Digital Synthesizer)
to generate a lookup table containing discrete samples of a desired
waveform shape.

atd. ani ciarka o tom, ako by sa dalo dosiahnut, aby tam tie neparne
(liche) harmonicke neboli.

4. Analog Synthesis:

    Use analog circuit components like integrators and summers to create a
circuit that approximates the integration of a square wave, resulting in a
triangle-like waveform.

Tiez sa tu nijako neriesia tie parne harmonicke, na to uz tipek davno
zabudol; a najma to  nie je analogova *synteza*, len uprava signalu -
syntezu nam tu predviedol pan kolega Lukesh ako fakt asi jedinu rozumnu
metoda ako dosiahnut "trojuholniku podobny priebeh", proste generovat
sinusy tych harmonickych a scitavat ich pomocou hejblatok dovtedy, kym
vysledok okometricky nebude trocha trojuholnikovity.

No nic, zazraky sa nekonaju.

wek