Research and development in the filed of digital signal processing have been very active in Japan for past three years. Especially, various new methods have been investigated in adaptive signal processing, applications of signal processing, implementations of signal processing systems, nonlinear signal processing, theory and algorithms of signal processing, and so on. Adaptive signal processing or adaptive filter design is continuous research topic in digital filtering. Some adaptive algorithms including a gradient type algorithm for blind system [Higa et al., 1999], an algorithm for lattice all-pass filter with minimum multipliers [Okello et al., 1999], Sign-Sign algorithm based on Gaussian distributed tap weights [Koike, 2000], INLMS algorithm [Fujii et al., 2000], and an algorithm for cascaded notch filter [Okello et al., 2001] were investigated. An analysis method for adaptive filters using LMS algorithm [Koike, 1999] was developed.