... 255(b)Figure 3: Performance factor D versus R in dB for windows of length N= 7,9, 13, 19, 51, 127, and 255 for values of (a) µ = 1and(b) µ= 10.To obtain an equation for N, we employ the performancefactor ... can be achieved for low values of N. For example, if N= 7, window designs with S = 20 log10soutside the range−10.19 <S<12.78 dB are not possible for any value of µ. For this reason, ... ripple ratio for low val-ues of D whereas the Kaiser window gives better results for large values of D.Thus,foragivenvalueofN, there is aUltraspherical Window Functions 206100.511.522.53Frequency...