Quantization error is the error in mapping a signal to a discrete range, such as a fixed number of bits of precision.

What does it mean to call noise white, pink, gray, etc? johndcook.com/blog/2015/12/0…

Introduction to signal processing on graphs arxiv.org/abs/1211.0053

A delay of d samples in the time domain corresponds to a multiplication by z^-d in the z transform.

SNR = ratio of signal variance (power) to noise variance (power).

Logarithms, music, and arsenic johndcook.com/blog/2008/08/0…

Dithering en.wikipedia.org/wiki/Dithering

In the context of DSP, A/D stands for analog-to-digital and D/A stands for digital-to-analog.

The Fourier transform of a sequence converges absolutely if and only if the z-transform converges in a region containing the unit disk.

IIR filters can be implemented in parallel. raphlinus.github.io/audio/2019/02/…

Unified theory of Fourier transforms johndcook.com/blog/2017/08/2…

A FFT is a linear transform, so it can be represented by matrix multiplication.

Matrix-vector multiplication general takes O(N²) operations, but FFT takes O(N log N) operations.

'All electrical engineers are familiar with the idea of a pulse, and a delta function is just a way of expressing a pulse mathematically.' -- Paul Dirac

The SciPy Python library has a large collection of signal processing functions under scipy.signal. scipy.org

The unit step sequence u[n] is 0 for negative n and 1 otherwise. The z-transform of u[n] is z/(z-1).

Frequency shift keying and spectrum johndcook.com/blog/2022/03/1…

The z-transform of the discrete time impulse δ[n] is 1.

Let x[n] be a sequence and X(z) its z-transform. Then the z-transform of x[n - d] is X(z) / z^d.

If the z-transform of x[n] is X(z), the z-transform of n x[n] is -z X'(z).