Implementation of Different Non-recursive FIR Band-Pass Filters Using Fractional Fourier Transform
Somesh Chaturvedi, Mahendra Kumar, Girish Parmar, Pankaj Shukla
Abstract
Somesh Chaturvedi, Mahendra Kumar, Girish Parmar, Pankaj Shukla
Abstract
This paper Proposed Implementation of Nonrecursive Finite Impulse Response (FIR) filter with the help of Kaiser window and Fractional Fourier Transform (FRFT). The window shape parameter is tuned for the transition band by considering linear phase FRFT FIR filter. FRFT of Kaiser Window is taken and convolved with the response function for tuning purposes of the transition band which makes effective transition band. This proposed method includes the change of parameters of Kaiser window by which other windows like Rectangle, Bartlett, Hamming Blackman and Hanning windows are generated by using FRFT. The merit of using FRFT in FIR filter design is that the impulse response need not be recomputed to improve filter sharpening and thus online improvement in the frequency response can be obtained.
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This paper Proposed Implementation of Nonrecursive Finite Impulse Response (FIR) filter with the help of Kaiser window and Fractional Fourier Transform (FRFT). The window shape parameter is tuned for the transition band by considering linear phase FRFT FIR filter. FRFT of Kaiser Window is taken and convolved with the response function for tuning purposes of the transition band which makes effective transition band. This proposed method includes the change of parameters of Kaiser window by which other windows like Rectangle, Bartlett, Hamming Blackman and Hanning windows are generated by using FRFT. The merit of using FRFT in FIR filter design is that the impulse response need not be recomputed to improve filter sharpening and thus online improvement in the frequency response can be obtained.
Key concepts: Finite impulse response, Fractional Fourier transform, Window function, Transition band, Algorithm, Impulse response, Computer science, Fourier transform