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**Paper Count:**30663

##### A New Approach to Design an Efficient CIC Decimator Using Signed Digit Arithmetic

**Authors:**
Vishal Awasthi,
Krishna Raj

**Abstract:**

Any digital processing performed on a signal with larger nyquist interval requires more computation than signal processing performed on smaller nyquist interval. The sampling rate alteration generates the unwanted effects in the system such as spectral aliasing and spectral imaging during signal processing. Multirate-multistage implementation of digital filter can result a significant computational saving than single rate filter designed for sample rate conversion. In this paper, we presented an efficient cascaded integrator comb (CIC) decimation filter that perform fast down sampling using signed digit adder algorithm with compensated frequency droop that arises due to aliasing effect during the decimation process. This proposed compensated CIC decimation filter structure with a hybrid signed digit (HSD) fast adder provide an improved performance in terms of down sampling speed by 65.15% than ripple carry adder (RCA) and reduced area and power by 57.5% and 0.01 % than signed digit (SD) adder algorithms respectively.

**Keywords:**
CIC filter,
decimation filter,
sampling rate conversion,
Multirate Filtering,
Compensation Theory,
Redundant signed digit arithmetic,
Fast adders

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1336578

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