An adjustable cotangent based window function for designing an FIR filter
Mitun Shil, Talat Mahmud Osman Goni, Chandan Kr Nath, Hrishi Rakshit
Abstract
Mitun Shil, Talat Mahmud Osman Goni, Chandan Kr Nath, Hrishi Rakshit
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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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