How Audio Is Represented Digitally
Sound waves are captured by a microphone, which converts acoustic energy into electrical analog signals. These are fed into an ADC (Analog-to-Digital Converter) where two critical processes occur: sampling and quantization.Sampling
1
Definition
Sampling measures the amplitude of an analog signal at regular intervals. The interval rate is expressed in Hertz (Hz). For example, 44.1 kHz means the signal is sampled 44,100 times per second.
2
Purpose
Sampling creates a series of discrete data points that approximate the continuous analog waveform.
3
Implication
The Nyquist Theorem states that the sample rate must be at least twice the highest frequency component in the audio signal. Human hearing ranges up to 20 kHz — hence the standard CD sample rate of 44.1 kHz.
Quantization
1
Definition
Quantization converts each sampled amplitude value into a digital value by assigning a numerical quantization level to each sample.
2
Purpose
The range of amplitude values is divided into discrete steps, each assigned a digital value. Bit depth determines the number of possible levels — a 16-bit system can represent 65,536 (2^16) different levels.
3
Implication
Quantization introduces a small amount of error (quantization noise) because amplitudes are rounded to the nearest level. Higher bit depths reduce this error and produce higher fidelity audio.
Terminology
Audio Encoding
Audio encoding converts audio data into a format suitable for storage, transmission, and playback — often with compression.Audio encoding is not the same as audio format. An audio format (e.g., WAV) includes the encoding plus metadata, file headers, and container structure.
PCM Audio Representation
When audio is played, it’s typically decoded into PCM. There are two common representations:
Convert between the two formats: