A signal can be written down in many ways. Some of them are more useful than others and can lead to great insights.

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In this Signal Processing ToolKit post, we’ll look at the idea of *signal representations*. This is a branch of signal-processing mathematics that expresses one signal in terms of one or more signals drawn from a special set, such as the set of all sine waves, the set of harmonically related sine waves, a set of wavelets, a set of piecewise constant waveforms, etc.

Signal representations are a key component of understanding stationary-signal processing tools such as convolution and Fourier series and transforms. Since Fourier series and transforms are an integral part of CSP, **signal representations are important for all our discussions at the CSP Blog.**

Continue reading “SPTK: Signal Representations”