A new architecture for the implementation of high-order decimation filters is described. It combines the cascaded integrator-comb (CIC) multirate filter structure. Application of filter sharpening to cascaded integrator-comb decimation filters. Authors: Kwentus, A. Y.; Jiang, Zhongnong; Willson, A. N.. Publication. As a result, a computationally efficient comb-based decimation filter is obtained of filter sharpening to cascaded integrator-comb decimation filters, IEEE Trans.

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Journal List ScientificWorldJournal v. An improved class of multiplierless decimation filters: The sharpened second and third stage leads to improvement in pass-band droop and better stop-band alias rejection.

The proposed filter, on the other hand, achieves better passband droop correction, which meets the 0. This class of filters require neither multipliers nor storage elements and therefore uses fewer resources as compared to other available filter structures. Skip to search form Skip to main content. It is interesting to note that, with the proposed sharpening approach, we can obtain an overall magnitude response attaining desired passband and stopband deviations by improving only the second-stage filter.

Moreover, method [ 34 ] is focused on sharpening traditional comb integrator-cpmb without compensation.

Application of filter sharpening to cascaded integrator-comb decimation filters – Semantic Scholar

The reason is that the increased complexity in the sharpened compensated comb structures amounts to only 3 extra additions per polynomial degree when the compensator from [ 11 ] is usedand these additions work at lower rate.

Note that this polynomial will attain the desired passband and stopband deviations with a proper polynomial degree. The proposed structure is implemented in three stages as shown in Fig. The sharpened CIC filter is obtained by replacing the transfer function of basic filter H z in eq.


The simulation results and their comparison shows that the proposed decimation integrator-domb has improved pass-band droop and better stop-band alias rejection than the existing structures. Understanding Digital Signal Processing. Note that K must be an even value to avoid fractional delays.

The implementation of second and third sharpened stage is shown in Fig. The transfer function of declmation sharpened comb-based filter and its zero-phase frequency response are, respectively, given as. The decimmation of the optimization problem was to minimize the min-max error over the frequency bands of interest of the sharpened filter. The main motive of this paper is to design a Sharpened decimation filter based on sharpening technique [12] with all the integrated advantages decimatiln existing scheme in order to achieve the better frequency response in pass-band as well as stop-band as compared to existing CIC structures for decimation.

For this example, the APOS in Table 1 corresponds to the second-stage filter the first-stage filtering is the same in both solutions and therefore it is omitted. From This Paper Figures, tables, and topics from this paper.

The second-stage filtering operates at lower rate as well, but it can take advantage of CIC-like architectures for area reduction. A family of sharpening filters Hnm f is given by.

Related jntegrator-comb at PubmedScholar Google.

In this work, it is shown that, for stringent magnitude specifications, sharpening compensated comb filters requires a lower-degree sharpening polynomial compared to sharpening comb filters without compensation, resulting in a solution applictaion lower computational complexity.

Therefore there is a need of anti-aliasing filter, through which applicatiob must be processed before starting the decimation process [1] and this complete structure is commonly known as decimation filter. Further the third stage operates at M2 times the lower sampling rate than the second stage and the frequency response of second stage is further sharpened by third stage.

Optimal Sharpening of Compensated Comb Decimation Filters: Analysis and Design

Therefore the transfer function of proposed filter can be written as. These results are summarized in Table 1.


To find the sharpening polynomial coefficients, we evaluate the conditions 6 over a dense grid of points x covering the ranges X p and X s. The reasons at the very basis of this work stem from the following observations.

Optimal Sharpening of Compensated Comb Decimation Filters: Analysis and Design

Figure 3 shows the magnitude response of these filters, along with detail in passband and the first folding band. In two-stage comb-based decimation schemes, magnitude response improvements over the passband and the first folding band can be achieved by improving only the second-stage comb filter.

From a practical point of view, decimation is usually accomplished using a cascade of two or applicarion stages. Open in a separate window. Further the reduction of sampling rate at each stage provides many additional benefits like better power efficiency, reduced hardware requirements, reduced cost and better speed.

However, generally speaking, sharpened integrator-commb comb filters become effective as the passband and stopband specifications become more stringent. The method is based on idea of amplitude change function ACF that is restricted to symmetric FIR filter with constant pass band fioter stop band. In this case, the proposed sharpened decimation filter has shown much improvement in pass-band droop and a little improvement in stop-band alias rejection as compared shzrpening existing conventional CIC filter [2] and modified sharpened CIC filter [11].

Various sharpening techniques have been proposed to improve the frequency response of CIC filter [].