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Engineering and Construction
Pages 7 (1757 words)
Modeling Unknown System Name: Institution: Designing process of a filter starts with requirements and specifications of the desirable IIR filter. The reference prototype filter used is to be specified based on the analog filter design specifications. This is preceded by the frequency range scaling of analog prototype filter into a frequency range that is desirable.
Finite impulse response filters known as Finite Impulse Response are fed forward or nonrecursive filters, which are stable since they have no feedback. Finite impulse response filters can have linear phase characteristic unlike the IIR making them a stable form of filter. However, these filters are not always the desired choice that is why they are facing out on the market. LMS is one of the two basic algorithms in the area of adaptive filtering; however, these algorithms in their simplest forms suffer from several drawbacks and limitations . The convergence of LMS filters is flawed by two main problems: the spread of the eigenvalue correlation matrix of the input signal and the coupling between modes of convergence. Eigenvalue spread results in nonuniform speed of convergence for the filter values; mode coupling results in nonmonotonic trajectories toward convergence of coefficients of filter and in eigenvalue propagation of the disparity effects between the various modes. This leads to irrecoverable instability problems in the finite impulse response filters. In order to improve on the normal LMS algorithm, alternative adaptive structures like the LMS lattice and the LMS frequency-domain are designed for mode coupling counteraction, though at the price of a greater non adjustment. ...
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