Many signal processing algorithms require computation of the derivative of a signal in real-time. Some of the examples are timing recovery, carrier frequency synchronization, FM demodulation and demodulation of LoRa signals. An analog or digital filter that computes such a derivative is known as a differentiator. Before we design such a discrete-time differentiating filter, let us review some of the fundamentals. A Derivative The following quote is attributed to Heraclitus, a Greek philosopher, from 535 BC. Change is the only constant in life. This was brought into the realm of science by Newton and Leibniz. The purpose of science is
A survey on the discrete-time differentiators in closed-loop
A Flexible and Scalable Structure To Compensate Frequency Response Mismatches in Time-Interleaved ADCs - Vogel2009, PDF, Analog To Digital Converter
Convolution discrete and continuous time-difference equaion and
Discrete-Time Implementations of Differentiators Homogeneous in
Discrete-time Fourier transform - Wikipedia
Convolution discrete and continuous time-difference equaion and
PDF) A Flexible and Scalable Structure to Compensate Frequency Response Mismatches in Time-Interleaved ADCs
Design of a Discrete-Time Differentiator
1 Chapter 7 FIR Filter Design Techniques. 2 Design of FIR Filters
Delta-sigma modulation - Wikipedia