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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This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Analog and Digital Signal Processing, Vol.
In all the three cases, proposed sharpened decimation filter shown improvement in pass-band droop and stop-band alias rejection as compared to existing conventional CIC filter  and modified sharpened CIC filter .
Fjlters approaches improve the passband with low-order compensators and stopband attenuation fipters either increasing the order of the comb filter [ 8 — 14 ] or exploiting additional filtering at high rate [ 15 — 17 ].
The second-stage filtering operates at lower rate as well, but it can take advantage of CIC-like architectures for area reduction.
Thus the second sharpened stage operates at lower sampling rate which is M1 times lower than the input sampling rate. Decimation signal processing Search for additional papers on this topic.
Therefore the transfer function of proposed filter can be written as. The sharpening coefficients are guaranteed to be integers scaled by power-of-2 terms, thus resulting in low-complexity structures. But to improve the response of stop-band price has to be paid.
Design of Modified Three Stage Sharpened CIC Filter for Decimation
Related article at PubmedScholar Google. Efficient decimation filtering for oversampled discrete-time signals is key in the development of low-power hardware too for reconfigurable communication transceivers [ 1 — 26 ].
For comparison purposes, we present the computational complexity of a sharpening structure for comb filters without compensation structure from [ 18 ]which is given as. However, the work [ 34 ] does not provide any method to find optimal discrete coefficients and simple rounding has been applied to the infinite precision solution, making pointless the infinite-precision optimization.
This class of filters require neither multipliers nor storage elements and therefore uses fewer resources as compared to other available filter structures. When it comes to the complexities in terms of APOS, the proposed solution achieves better results too. The goal of the optimization problem was to minimize the min-max error over the frequency bands of interest of the sharpened filter.
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.
Let us consider the following notation in order to formalize the optimization problem. Problem Motivation, Contributions, and Paper Organization The reasons at the very basis of this work stem from the following observations.
Nine digital filters for filyer and interpolation. Understanding Digital Signal Processing. Author information Article notes Copyright and License information Disclaimer.
Application of filter sharpening to cascaded integrator-comb decimation filters – Semantic Scholar
Received Aug 31; Accepted Oct Stephen G, Stewart RW. Skip to search form Skip to main content. Additionally, this structure has all the sharpening coefficients at lower rate and, when integer coefficients scaled by a power of two are used, an effective overall structure is obtained, which does not suffer from finite-precision effects as rotated-comb-based methods. 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 to existing conventional CIC filter  and modified sharpened CIC filter .
Application of filter sharpening to cascaded integrator-comb decimation filters. This filter sharpening technique is applied to CIC filters to reduce the pass-band droop and to improve stop-band attenuation in CIC filters. Therefore the response of CIC filter can be represented as. An economical class of droop-compensated generalized comb filters: The filter in the first stage is a comb filter of order K decimating by a factor Mwith z -transfer function and zero-phase frequency response, respectively, given as.
This class of filters require neither multipliers nor storage elements to store filter coefficients and therefore uses less resources as compared to other available filter structures which leads to economical hardware. With this background, let us review the literature in these three categories. The CIC filter at first stage operates at input sampling rate, sharpened second stage operates at lower rate as compared to first stage and sharpened third stage operates at lower rate as compared to first as well as second stage.
In that method, the magnitude in the stopband regions can be arbitrarily improved with the order of the comb filter, Kand the parameter b must be adjusted accordingly. The proposed filter, on the other hand, achieves better passband droop correction, which meets the 0.
Figure 3 shows the magnitude response of these filters, along with detail in passband and the first folding band. Obviously, this is a preliminary estimation that depends on the accuracy of the formula being used.
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 with lower computational complexity.
This paper presents the design of Sharpened three stage CIC filter for decimation.