2017•Unpublished venueRequires access

An adjustable cotangent based window function for designing an FIR filter

Mitun Shil, Talat Mahmud Osman Goni, Chandan Kr Nath, Hrishi Rakshit

Open publisher page 2 citations

Abstract

In this paper an adjustable window function is proposed which is based on cotangent & which can be used to design an FIR filter. The window function consists of a variables & using this variables the shape of the window can be regulated. The proposed window is compared with Hamming, Hanning, Kaiser & Blackman window. The result implies that the ripple ratio of the proposed window is −50.59 dB where Hamming, Hanning & Kaiser windows have −46.89 dB, −31.48 dB & −13.33 dB respectively, where it can be understood that the proposed window has injcreasingly better ripple ratio among the windows mentioned above. Besides, filter designed using the proposed window has −64.92 dB ripple ratio while hamming, hanning & kaiser based window filters have −53.76 dB, −43.96 dB & −21.94 dB accordingly, where, the proposed window has the better response.

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What this paper is about

In this paper an adjustable window function is proposed which is based on cotangent & which can be used to design an FIR filter. The window function consists of a variables & using this variables the shape of the window can be regulated. The proposed window is compared with Hamming, Hanning, Kaiser & Blackman window. The result implies that the ripple ratio of the proposed window is −50.59 dB where Hamming, Hanning & Kaiser windows have −46.89 dB, −31.48 dB & −13.33 dB respectively, where it can be understood that the proposed window has injcreasingly better ripple ratio among the windows mentioned above. Besides, filter designed using the proposed window has −64.92 dB ripple ratio while hamming, hanning & kaiser based window filters have −53.76 dB, −43.96 dB & −21.94 dB accordingly, where, the proposed window has the better response.

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Available abstract

In this paper an adjustable window function is proposed which is based on cotangent & which can be used to design an FIR filter. The window function consists of a variables & using this variables the shape of the window can be regulated. The proposed window is compared with Hamming, Hanning, Kaiser & Blackman window. The result implies that the ripple ratio of the proposed window is −50.59 dB where Hamming, Hanning & Kaiser windows have −46.89 dB, −31.48 dB & −13.33 dB respectively, where it can be understood that the proposed window has injcreasingly better ripple ratio among the windows mentioned above. Besides, filter designed using the proposed window has −64.92 dB ripple ratio while hamming, hanning & kaiser based window filters have −53.76 dB, −43.96 dB & −21.94 dB accordingly, where, the proposed window has the better response.

Key concepts: Window function, Ripple, Window (computing), Hamming code, Finite impulse response, Mathematics, Filter (signal processing), Computer science

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