Figure 3-1 (p. 162) ROC for the Z-transform of ( a ) ß n u ( n ); ( b ) ß n u (- n -1).

Figure 3-1 (p. 162)ROC for the Z-transform of (a) ßnu(n); (b) ßnu(-n-1).

Figure 3-2 (p. 164)ROC for the Z-transform of the sequence 2nu(n) + (-3)nu(-n-1).

Figure 3-3 (p. 168)

Figure 3-4 (p. 179)The stability triangle.

Figure 3-5 (p. 183)Phase response of a double delay.

Figure 3-6 (p. 183)Typical LPF magnitude response.

Figure 3-7 (p. 184)Examples of FIR filter impulse responses; (a) FIR-I; (b) FIR-II; (c) FIR-III; (d) FIR IV.

Figure 3-8 (p. 187)Responses of FIR-I filter in Example 3.13.

Figure 3-9 (p. 188)Responses of FIR-II filter in Example 3.13

Figure 3-10 (p. 189)Responses of FIR-III filter in Example 3.13.

Figure 3-11 (p. 190)Responses of FIR-IV filter in Example 3.13.

Figure 3-12 (p. 190)Possible zero positions for a linear phase FIR filter. The alphabets refer to the zeros that appear together.

Figure 3-13 (p. 192)Second-order Direct Form II filters.

Figure 3-14 (p. 196)Illustration of the overlap-add method.

Figure 3-15 (p. 198)Illustration of the overlap-save method.

Figure 3-16 (p. 200)First-order Goertzel filter.

Figure 3-17 (p. 201)Second-order Goertzel filter to compute X(k).

Figure 3-18 (p. 202)Sample contours for the CZT.

Figure 3-19 (p. 203)The CZT algorithm.

Figure 3-20 (p. 205)(a) 2d(n2)u(n1, n2); (b) ROC.

Figure 3-21 (p. 206)(a) u(n1, n2); (b) ROC.

Figure 3-22 (p. 206)(a) u2d(n1)2d(n1-n2); (b) ROC.

Figure 3-23 (p. 207)ROC of the Z-transform of an1bn2u(-n1, -n2).

Figure 3-24 (p. 213)Efficient computation of condition I.2 in Huang’s theorem.

Figure P3-1 (p. 221)

Figure P3-2 (p. 222)

Figure 3-1 (p. 162) ROC for the Z-transform of ( a ) ß n u ( n ); ( b ) ß n u (- n -1).