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In digital signal processing, a cascaded integrator–comb (CIC) is an optimized class of finite impulse response (FIR) filter combined with an interpolator or decimator.〔 Donadio, Matthew (2000) (''CIC Filter Introduction'' ) "Hogenauer introduced an important class of digital filters called 'Cascaded Integrator-Comb', or 'CIC' for short (also sometimes called 'Hogenauer filters').〕 A CIC filter consists of one or more integrator and comb filter pairs. In the case of a decimating CIC, the input signal is fed through one or more cascaded integrators, then a down-sampler, followed by one or more comb sections (equal in number to the number of integrators). An interpolating CIC is simply the reverse of this architecture, with the down-sampler replaced with a zero-stuffer (up-sampler).〔 == The CIC filter== CIC filters were invented by Eugene B. Hogenauer, and are a class of FIR filters used in multi-rate digital signal processing. The CIC filter finds applications in interpolation and decimation. Unlike most FIR filters, it has a decimator or interpolator built into the architecture. The figure at the right shows the Hogenauer architecture for a CIC interpolator.〔 The system function for the composite CIC filter referenced to the high sampling rate, fs is: : Where: :''R'' = decimation or interpolation ratio :''M'' = number of samples per stage (usually 1 but sometimes 2) :''N'' = number of stages in filter Characteristics of CIC Filters # Linear phase response; # Utilize only delay and addition and subtraction; that is, it requires no multiplication operations; 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Cascaded integrator–comb filter」の詳細全文を読む スポンサード リンク
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