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Vol. 1 Issue IV, November 2013 ISSN: 2321-9653
INTERNATIONAL JOURNAL FOR RESEARCH IN AP PLIED SCIENCE AN D E N G I N E E R I N G T E C H N O L O G Y (I J R A S E T)
Advanced Optimize Adaptive Filter Design S. Kiran Babu#1, T. Venkata Krishnamoorthy*2 #
ECE Department, Holymary Institute of Technology and Science.
*
ECE Department, Holymary Institute of Technology and Science 1
kiranbabus@yahoo.com
2
muthy.tvk@gmail.com
Abstract— An adaptive filter is a filter containing coefficients that are updated by some type of adaptive algorithm to improve or somehow optimize the filter’s response to a desired performance criterion. Hence, the process not only examines new filter coefficient values, but also retains the advances made in previous "generations". Computer simulations of the algorithm's performances are presented.
Keywords— Adaptive, Optimize
OVERVIEW In general, adaptive filters consist of two basic parts: the filter which applies the required processing on the incoming signal which is to be filtered; and an adaptive algorithm, which adjusts the coefficients of that filter to somehow improve its performance. The overall structure for an adaptive filter is shown below in Figure 1. The incoming signal, x(n), is filtered (or weighted) in a digital filter to produce an output, y(n). The adaptive algorithm will continuously adjust the coefficients, or tap weights, in the filter to minimize the error, e(n), between the filtered output, y(n), and a signal representing the desired response of the filter, d(n). Note: Selection of the desired response, d(n), of the filter is sometimes the most difficult step and can dramatically affect the success of the adaptive filter.
Detailed Description Transversal Structure Filter: Several types of filter structures can be implemented in the design of the adaptive filters such as Infinite Impulse Response (IIR) or Finite Impulse Response (FIR). In this application note, only FIR structure is implemented. An adaptive FIR filter can be realized using a transversal, symmetric transversal, or a lattice structure. The most common implementation of an adaptive filter is the transversal structure (tapped delay line). The filter output signal y(n) is given by:
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