Cosh window family and its application to FIR filter design

Design of fir filters using exponential--Hamming window family

“…The normalized amplitude spectrum of a typical symmetric window in dB range is shown in Figure 2 [4,14]. The main window spectral parameters to distinguish the performances of windows are the mainlobe width (w M ) and ripple ratio I.…”

“…A window, denoted as w(nT), is defined as a time function being nonzero for -n-≤ (N-1)/2 and zero for otherwise [1,14]. In this definition, N is the window length and taken as an odd number, because only windows having odd length and symmetric properties have capability of designing all type of filters [1].…”

“…In the next section, the proposed window is introduced with exponential and Hamming windows after a brief explanation about the window theory. In Section 3, the window spectral performance of the proposed window is analyzed and comparisons with Kaiser, cosh [14], and exponential windows are carried out. Then the filters designed by the proposed window are examined and their performances are compared with other well-known two-parameter windows in terms of the minimum stopband attenuation for fixed filter length and transition width parameters in Section 4.…”

“…In the literature, many windows for signal spectrum and digital filter design applications have been * Correspondence: kavci1980@gmail.com proposed [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. According to the number of independent window parameters in their functions, they can be classified as fixed or adjustable [20].…”

Exponential Window Family

“…In literature many windows have been proposed [4][5][6][7][8][9][10][11][12][13][14][15][16]. Since the best window depends on the applications, they are known as suboptimal solutions.…”