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Lecture# Filter Theory: Introduction and Methods

Description

This lecture covers the introduction and methods of filter theory, including discretization, factoring, pole shifting, and pole synthesis. It explains the process of pole change, stable pole synthesis, and scaling in filter design.

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Related concepts (46)

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On introduit les bases de l'automatique linéaire discrète qui consiste à appliquer une commande sur des intervalles uniformément espacés. La cadence de l'échantillonnage qui est associée joue un rôle

Filter design

Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which may be conflicting. The purpose is to find a realization of the filter that meets each of the requirements to a sufficient degree to make it useful. The filter design process can be described as an optimization problem where each requirement contributes to an error function that should be minimized. Certain parts of the design process can be automated, but normally an experienced electrical engineer is needed to get a good result.

Analogue filter

Analogue filters are a basic building block of signal processing much used in electronics. Amongst their many applications are the separation of an audio signal before application to bass, mid-range, and tweeter loudspeakers; the combining and later separation of multiple telephone conversations onto a single channel; the selection of a chosen radio station in a radio receiver and rejection of others.

Electronic filter

Electronic filters are a type of signal processing filter in the form of electrical circuits. This article covers those filters consisting of lumped electronic components, as opposed to distributed-element filters. That is, using components and interconnections that, in analysis, can be considered to exist at a single point. These components can be in discrete packages or part of an integrated circuit. Electronic filters remove unwanted frequency components from the applied signal, enhance wanted ones, or both.

Digital filter

In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal. This is in contrast to the other major type of electronic filter, the analog filter, which is typically an electronic circuit operating on continuous-time analog signals. A digital filter system usually consists of an analog-to-digital converter (ADC) to sample the input signal, followed by a microprocessor and some peripheral components such as memory to store data and filter coefficients etc.

Network synthesis

Network synthesis is a design technique for linear electrical circuits. Synthesis starts from a prescribed impedance function of frequency or frequency response and then determines the possible networks that will produce the required response. The technique is to be compared to network analysis in which the response (or other behaviour) of a given circuit is calculated. Prior to network synthesis, only network analysis was available, but this requires that one already knows what form of circuit is to be analysed.

Related lectures (14)

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Explores the fundamentals of Chebyshev approximation in filters, covering polynomials, pole locations, order determination, and design procedures.

Switched-Capacitor Filters: Design and SynthesisEE-520: Low-power analog IC design

Covers the design and synthesis of switched-capacitor filters focusing on cascade and ladder filter designs.

Observers: Convergence MechanismME-273: Introduction to control of dynamical systems

Explores the convergence mechanism in observers, emphasizing noise elimination and filter design.

Stochastic Processes: Wiener FilterCOM-300: Stochastic models in communication

Explores stochastic processes and the Wiener filter for signal processing.