2016TURKISH JOURNAL OF ELECTRICAL ENGINEERING & COMPUTER SCIENCESOpen access

Design of fir filters using exponential--Hamming window family

Kemal Avcı

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Abstract

In this paper, a new two-parameter window obtained by the combination of two windows, known as exponential and Hamming, is proposed and applied for the design of finite impulse response (FIR) digital filters.First of all, the quality of the proposed window is analyzed in terms of window spectral parameters and then compared with other two-parameter windows, namely Kaiser, cosh, and exponential.The window simulation results show that the proposed window can provide better ripple ratio than other windows for fixed window length and mainlobe width.Secondly, the performance of the proposed window is analyzed in digital filter design.The filter numerical comparison with Saramaki, Kaiser, Dolph-Chebyshev, cosh, and exponential windows confirms that the filter designed by the proposed window can exhibit a better filtering performance compared to well-known two-parameter windows in the literature because it can provide better minimum stopband attenuation for fixed filter length and transition width.

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What this paper is about

In this paper, a new two-parameter window obtained by the combination of two windows, known as exponential and Hamming, is proposed and applied for the design of finite impulse response (FIR) digital filters.First of all, the quality of the proposed window is analyzed in terms of window spectral parameters and then compared with other two-parameter windows, namely Kaiser, cosh, and exponential.The window simulation results show that the proposed window can provide better ripple ratio than other windows for fixed window length and mainlobe width.Secondly, the performance of the proposed window is analyzed in digital filter design.The filter numerical comparison with Saramaki, Kaiser, Dolph-Chebyshev, cosh, and exponential windows confirms that the filter designed by the proposed window can exhibit a better filtering performance compared to well-known two-parameter windows in the literature because it can provide better minimum stopband attenuation for fixed filter length and transition width.

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Available abstract

In this paper, a new two-parameter window obtained by the combination of two windows, known as exponential and Hamming, is proposed and applied for the design of finite impulse response (FIR) digital filters.First of all, the quality of the proposed window is analyzed in terms of window spectral parameters and then compared with other two-parameter windows, namely Kaiser, cosh, and exponential.The window simulation results show that the proposed window can provide better ripple ratio than other windows for fixed window length and mainlobe width.Secondly, the performance of the proposed window is analyzed in digital filter design.The filter numerical comparison with Saramaki, Kaiser, Dolph-Chebyshev, cosh, and exponential windows confirms that the filter designed by the proposed window can exhibit a better filtering performance compared to well-known two-parameter windows in the literature because it can provide better minimum stopband attenuation for fixed filter length and transition width.

Key concepts: Window (computing), Exponential function, Finite impulse response, Mathematics, Hamming code, Exponential smoothing, Computer science, Window function

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