1. Elementary analysis. p. 1. The z transform. p. 43. 3. The application of the z transform. p. 66. 4. Realization. p. 97 5. Analog-filter approximations. p. 138. 6. Continuos-time, sampled, and discrete-time signals. p. 177. 7. Approximations for recursive filters. p. 220. 8. Recursive filters satisfying prescribed specifications. p. 249. 9. Design of nonrecursive filters. p. 274. 10. Random signals. p. 310. 11. Effects of finite word length in digital filters. p. 330. 12. Wave digital filters.p. 388. 13. The discrete fourier transform. p. 444. 14.Design of recursive filters using optimization. p. 489. 15. Design of nonrecursive filters using optimization methods. p. 544. Digital signal processing apllications. p. 592. Appendix A. Elliptic functions. p. 653.