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The DFT can then be understood as a reduction of this polynomial; that is, X k is given by: = = () where mod denotes the polynomial remainder operation. The key to fast algorithms like Bruun's or Cooley–Tukey comes from the fact that one can perform this set of N remainder operations in recursive stages.
a)1-D Decimation b)1-D Interpolation. Theoretically, explanations of decimation and interpolation are: [1] • Decimation (Down-sampling): The M times decimated version of x(n) is defined as y(n)= x(Mn), where M is a nonsingular integer matrix called decimation matrix. In the frequency domain, relation becomes
In digital signal processing, downsampling, compression, and decimation are terms associated with the process of resampling in a multi-rate digital signal processing system. Both downsampling and decimation can be synonymous with compression , or they can describe an entire process of bandwidth reduction ( filtering ) and sample-rate reduction.
Delta-sigma (ΔΣ; or sigma-delta, ΣΔ) modulation is an oversampling method for encoding signals into low bit depth digital signals at a very high sample-frequency as part of the process of delta-sigma analog-to-digital converters (ADCs) and digital-to-analog converters (DACs).
In digital signal processing, a cascaded integrator–comb (CIC) is a computationally efficient class of low-pass finite impulse response (FIR) filter that chains N number of integrator and comb filter pairs (where N is the filter's order) to form a decimator or interpolator.
A progressive mesh is a data structure which is created as the original model of the best quality simplifies a suitable decimation algorithm, which removes step by step some of the edges in the model (edge-collapse operation). It is necessary to undertake as many simplifications as needed to achieve the minimal model.
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Decimation, Decimate, or variants may refer to: Decimation (punishment) , punitive discipline Decimation (signal processing) , reduction of digital signal's sampling rate