Scaling and linearity

Understanding Scaling and Linearity in Digital Signal Processing (DSP) Digital Signal Processing, or DSP , is the method we use to work with digital signals — like audio, images, and sensor data — using computers or digital devices. When working with signals, we often talk about how systems (like filters or amplifiers) change these signals. Two important ideas in DSP are scaling and linearity . These are simple but powerful concepts that help us understand and design systems that handle signals in a predictable way.  What is a System in DSP? Before we talk about scaling and linearity, let's understand what a system is. In DSP, a system is anything that takes an input signal and gives an output signal . For example, a microphone is a system that takes in sound and gives an electrical signal. We use notation like this: x [ n ] → y [ n ] x[n] \rightarrow y[n] Where: x [ n ] x[n] is the input signal (like your voice) y [ n ] y[n] is the output signal (like the digi...