https://waveu.tinyalg.com/docs/ideas/Recent content in Ideas on Waveu: Crafting Waveforms with ESP32Hugoenhttps://waveu.tinyalg.com/docs/ideas/lissajous/Fri, 24 Jan 2025 09:00:00 +0900https://waveu.tinyalg.com/docs/ideas/lissajous/<h1 id="lissajous-curve"> Lissajous Curve <a class="anchor" href="#lissajous-curve">#</a> </h1> <p><a href="https://colab.research.google.com/github/tinyalg/waveu-ideas/blob/main/examples/lissajous/docs/lissajous.ipynb"><img src="https://colab.research.google.com/assets/colab-badge.svg" alt="Open In Colab" /></a></p> <p>A Lissajous figure is a visual representation of the relationship between two periodic signals plotted against each other in an X-Y coordinate system, with its shape determined by the signals&rsquo; frequency ratio, phase difference, and amplitudes. <figure class="custom-figure"><img src="https://waveu.tinyalg.com/images/lissajous_oscilloscope.png" alt="300 Hz and 200 Hz sine waves (top) and their corresponding Lissajous curve (bottom), illustrating the relationship between frequency ratios and phase differences." width="50%"><figcaption> <p>Figure: 300 Hz and 200 Hz sine waves (top) and their corresponding Lissajous curve (bottom), illustrating the relationship between frequency ratios and phase differences.</p>https://waveu.tinyalg.com/docs/ideas/am/Fri, 24 Jan 2025 09:00:00 +0900https://waveu.tinyalg.com/docs/ideas/am/<h1 id="amplitude-modulation-example"> Amplitude Modulation Example <a class="anchor" href="#amplitude-modulation-example">#</a> </h1> <p><a href="https://colab.research.google.com/github/tinyalg/waveu-ideas/blob/main/examples/am/docs/am.ipynb"><img src="https://colab.research.google.com/assets/colab-badge.svg" alt="Open In Colab" /></a> <a href="https://github.com/tinyalg/waveu-ideas/tree/main/examples/am"><img src="https://img.shields.io/badge/Run%20on-ESP32-orange?logo=espressif" alt="Run on ESP32" /></a></p> <h2 id="1-what-is-amplitude-modulation"> 1. What is Amplitude Modulation? <a class="anchor" href="#1-what-is-amplitude-modulation">#</a> </h2> <p>Amplitude Modulation (AM) is a method of modulating a carrier wave by varying its amplitude in proportion to the amplitude of the input signal, typically a low-frequency audio signal. The carrier wave&rsquo;s frequency remains constant, but its amplitude fluctuates according to the instantaneous amplitude of the modulating signal. <figure class="custom-figure"><img src="https://waveu.tinyalg.com/images/am_oscilloscope.png" alt="Amplitude-modulated wave with a carrier frequency of 500 Hz and a modulation frequency of 100 Hz." width="50%"><figcaption> <p>Figure: Amplitude-modulated wave with a carrier frequency of 500 Hz and a modulation frequency of 100 Hz.</p>https://waveu.tinyalg.com/docs/ideas/sweep/Sat, 01 Feb 2025 09:00:00 +0900https://waveu.tinyalg.com/docs/ideas/sweep/<h1 id="sweep-wave"> Sweep Wave <a class="anchor" href="#sweep-wave">#</a> </h1> <p><a href="https://colab.research.google.com/github/tinyalg/waveu-ideas/blob/main/examples/sweep/docs/sweep.ipynb"><img src="https://colab.research.google.com/assets/colab-badge.svg" alt="Open In Colab" /></a> <a href="https://github.com/tinyalg/waveu-ideas/tree/main/examples/sweep"><img src="https://img.shields.io/badge/Run%20on-ESP32-orange?logo=espressif" alt="Run on ESP32" /></a></p> <p>A <strong>sweep wave</strong> is a waveform where the frequency gradually changes over time instead of remaining constant. This gradual shift in frequency is useful for analyzing system responses, testing circuits, and generating special sound effects.</p> <figure class="custom-figure"><img src="https://waveu.tinyalg.com/images/sweep_10s.png" alt="(a)Frequency at midpoint of the sweep (starting from 100Hz, approaching 1000Hz)" width="50%"><figcaption> <p>Figure: (a)Frequency at midpoint of the sweep (starting from 100Hz, approaching 1000Hz)</p> </figcaption> </figure> <figure class="custom-figure"><img src="https://waveu.tinyalg.com/images/sweep_20s.png" alt="(b)End of the sweep at 1000Hz" width="50%"><figcaption> <p>Figure: (b)End of the sweep at 1000Hz</p>