Frequency representations can be found in various fields, including physics, engineering, and signal processing. Here are some key concepts related to frequency representations:
- Time-domain representation: This is a representation of a signal or a system in terms of its behavior over time.
- Frequency-domain representation: This is a representation of a signal or a system in terms of its frequency components.
- Fourier transform: This is a mathematical tool used to transform a time-domain signal into its frequency-domain representation.
- Spectral analysis: This is the process of analyzing a signal or a system in terms of its frequency components.
- Frequency spectrum: This is a graphical representation of the frequency components of a signal or a system.
Some common frequency representations include:
- Amplitude spectrum: This is a plot of the amplitude of a signal versus its frequency.
- Phase spectrum: This is a plot of the phase of a signal versus its frequency.
- Power spectrum: This is a plot of the power of a signal versus its frequency.
Frequency representations have many applications, including:
- Filtering: This is the process of removing unwanted frequency components from a signal.
- Modulation: This is the process of modifying a signal to encode information onto it.
- Demodulation: This is the process of extracting the original information from a modulated signal.
- Signal processing: This is the process of analyzing and modifying signals to extract useful information or to improve their quality.
🧠Chord simulation
https://gist.github.com/viadean/e53a794c7d25034a3551a74725fa2ff4
Explanantion:
- Signal Simulation:
- We use
numpy
to create a time array and then generate a sine wave representing the "A" note.
- The
sampling_rate
determines how many samples per second are taken, which affects the maximum frequency that can be represented.
- The
duration
controls the length of the simulated note.
- Fourier Transform:
- The
scipy.fft.fft()
function performs the Discrete Fourier Transform (DFT), converting the time-domain signal into the frequency domain.
scipy.fft.fftfreq
creates the frequency axis for the transformed signal.