Research of the Sensitivity of the Quantized Coefficients of a Digital Bandpass Filters with Frequency Sampling

Rybka Serhii Volodуmуrovуch,Varava Ivan Andriiovуch,Korolov Andrii Pavlovуch

doi:10.11591/ijeei.v8i1.1552

Abstract

The article is devoted to the applied research of the dependence of the influence of the transfer function quantized coefficients of digital bandpass filters with frequency sampling on its attenuation characteristic. It is shown that only the coefficients, which depend on the frequency, when quantized, significantly distort the shape of the attenuation characteristic. Such coefficients in the article are called frequency coefficients. The magnitudes of the deviations of the quantized frequency coefficients from the calculated values at different values of the bit depth are analyzed. The attenuation characteristics of the digital comb of bandpass filters based on frequency sampling with calculated and quantized coefficients are analyzed. Practical recommendations are offered to minimize the influence of frequency coefficients quantization errors at the stage of solving the task of approximation of digital bandpass filters with frequency sampling. The result will be an optimal choice of the minimum number bit of the processors or programmable logic integrated circuits (FPGA), to be used for the implementation of digital bandpass filters with frequency sampling.

Highlights

The study of applied implementation issues of multiband digital filtering systems, which have high computational efficiency, is of particular interest
The analysis of the results shows that when the bit depth is limited to eight, there is a slight increase in attenuation in the stopbands and in the passband
Analysis of the attenuation characteristics of a digital comb of bandpass frequency sampling filters with calculated and quantized coefficients Consider the transfer function of digital comb of bandpass filters (DCBF) based on FS

Summary

INTRODUCTION

The study of applied implementation issues of multiband digital filtering systems, which have high computational efficiency, is of particular interest. The quantization effect of the transfer function coefficients and the input signal is considered as a noise source and the allowable signal-to-noise ratio is analyzed depending on the limitation of the bit depth and the filter order. When solving the approximation problem, the values of the coefficients Ak for the passband are chosen to be one This greatly simplifies the task of Research of the Sensitivity of the Quantized Coefficients of Digital Bandpass ... To analyze the influence of quantization of the transition coefficients Ak on the attenuation characteristics of bandpass filters based on frequency sampling at different bit depth dd. 4. To analyze the filter attenuation characteristic on the FSF with quantized frequency coefficients with unit values of weight coefficients over the entire interval of the operating range of the normalized digital frequencies: [0, π]

Bit limits None

CONCLUSION