Transform domain adaptive linear phase filter

This correspondence describes a new adaptive linear-phase filter whose weights are updated by normalized least-mean-square (LMS) algorithm in transform domain. This algorithm provides faster: convergence rate compared with the time domain linear phase LMS algorithm. Various real-valued orthogonal transforms are investigated such as discrete cosine transform (DCT), discrete Hartley transform (DHT), and power of two (PO2) transform, etc. By using the symmetry property of transform matrix, an efficient implementation structure is proposed. A system identification example is presented to demonstrate its performance.