Splitting the Unit Delay - IEEE Signal Processing ... - IEEE Xplore

Appendix B. Examples of FD Allpass Filters2.62.42 2.2A; 240 1.81.6Figure 81 (a)5.55.45.35.25.154.94.84.7464.5Figure 81 (b)0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 09 10 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.6 0.9 1 NORMALIZED FREQUENCYNORMALIZED FREQUENCY(a)(b)Fig. B1. Noniterative LS phase allpass design. (a) N = 2, wp = 0.51~: phase delay response. (b) N = 5, op = 0.81~: phase delayresponse.Figure 82 (a)2.65.52.4 5.45.3$ 2'25.23 5.12 28 54 4.95 18 : 4.8Figure 82 (b)4.71.6 464.51.40 0.1 0.2 0.3 0.4 05 0.6 0.7 0.8 0.9 1 0 0.1 02 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1NORMALIZED FREQUENCYNORMALIZED FREQUENCY(a) 0)Fig. B2. Noniterative LS phase delay allpass design. (a) N = 2, op = 0.51~: phase delay response. (b) N = 5, op = 0.8lT: phasedelay response.2.65.52.4 5.45.322 52$51w 52 0 22 4.9E 1.8 a 4.84.71.6 4.64.5Figure 83 (b)1.40 0.1 0.2 0.3 0.4 0.5 06 0.7 0.8 0.9 1 0 0.1 02 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1NORMALIZED FREOUENCYNORMALIZED FREQUENCY(a)(b)Fig. B3. Maximally flat group delay allpass design. (a) N = 2: phase delay response. (b) N = 5: phase delay response.Figure 84 (a)2.65.524 5.45.32> 5.2d 2 5.1; 2 r u 56 2 4.92 18 4.8Figure 84 (b)4.716 4.64.51.40 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.1 0.2 0.3 0.40.5 0.6 0.7 0.8 0.9 1NORMALIZED FREQUENCYNORMALIZED FREQUENCY(a)(b)Fig. B4. Equiripple phase delay allpass design. (a) N = 2, o, = 0.51~: phase delay response. (b) N = 5, op = 0.81~: phase delayresponse.JANUARY 1996 IEEE SIGNAL PROCESSING MAGAZINE 59