Bandpass Analysis: There exist many practical situations in which multiple filtering and band pass analysis are required. In multiple filtering, one specific operation (for example low pass, high pass, band pass, etc.) is required to be performed on many signal channels presented as input data, e.g. in multiplex systems. In band pass analysis, many Bandpass […]
Typical Digital Filtering Operations: Digital filters in fact can be applied in many different parts of a signal and image processing transmission system. Two typical examples of systems in which Typical Digital Filtering Operations can be inserted are Local digital processing systems (Fig. 15.42), and Digital communication system (Fig. 15.43) In the first system of
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Digital Filtering Processor: The implementation of any digital filtering consists of a series of multiplications of samples of the input and/or output signals by constants, and of the additions of these products. Thus the main building blocks which have to be present in digital filtering hardware are the following: Memory cells Adders Multipliers A programming
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IIR Filter Design 1-D: In this section some practical considerations relating to the methods for the design of IIR Filter Design filters are presented. In particular, the bilinear transform is considered along with its application to the digitization of rational transfer functions of classical analog filters defined on the s-plane or in the framework of
IIR Digital Filter Design Methods: IIR Digital Filter Design Methods – Fettveis first suggested the use of one port reflection coefficients for the tranfer of analog filter properties from the analog domain to the digital filter domain, and thus produced the wave digital filter structure. Transformation of Passive Ladder Filter The reason why reflection coefficients
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FIR 1-D Digital Filter Design (The Window Method): We describe the Fourier series technique as the first design method of 1-D FIR digital filters [Eq. (15.83)]. In this Digital Filter Design Window Method, given a frequency function H(ejω) with period 2π, an FIR Digital Filter Design Window Method with a transfer function corresponding to H(ejω) can be
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Fast Fourier Transform Formula: The Fast Fourier Transform Formula is a computational tool which facilitates signal analysis, such as power spectrum analysis and filter simulation using digital computers. In digital analysis of signals, the continuous waveform to be analysed is first sampled and then converted to digits that represent the amplitude of the samples. The
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Frequency Domain Representation: Frequency Domain Representation – A very important representation of discrete time systems can be obtained in terms of sinusoidal or complex-exponential signals. This is possible because the linear shift invariant systems have the interesting property that the response to a sinusoidal or complex exponential input is also sinusoidal or complex-exponential, having the
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What is Digital System?: Fundamental Properties of 1-D Digital System : A digital system can be defined as an operator which transforms an input sequence { x(n)} to an output sequence {y(n)} A system of this type is said to be linear, indicated by the symbol L, if and only if the principle of superposition
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Sampling Theorem Formula 1-D: One of the most important applications of digital filtering is the processing of sequences of samples derived from continuous or analog signals. This is made possible due to the results and implications of the Sampling Theorem Formula. This theorem can be stated as follows: “A continuous analogue function x(t) which has
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