... Since this impulseresponse in infinitely long, recursive filters are often called infinite impulseresponse (IIR) filters. In effect, recursive filters convolve the input signal witha very long ... and low-pass single pole recursive filters, respectively. Figure (c) shows the frequencyresponse of a cascade of four low-pass filters. The frequency response of recursive filters i...
... the square-root formulation. We now proceed to discuss
order -recursive adaptive filters within this framework.
21.8 Order -Recursive Filters
The RLS algorithms that were derived in the previous ... observations d that are corrupted by additive Gaussian noise as in (21.23).
21.4 The Recursive Least-Squares Problem
The recursive least-squares formulation deals with the problem of updati...
... look at recursive filters. The single pole recursive filter (Chapter 19)is used in the time domain, while the Chebyshev (Chapter 20) is used in thefrequency domain. Recursive filters having a ... with either analog or digital filters. Whichis better? Analog filters are cheap, fast, and have a large dynamic range inboth amplitude and frequency. Digital filters, in comparison, are...
... term " ;recursive& quot; also has other meanings,especially in computer science). Chapter 19 discusses a variety of recursivefilters in more detail. Be aware that the moving average recursive ... that the moving average recursive filter is verydifferent from typical recursive filters. In particular, most recursive filters havean infinitely long impulse response (IIR), composed...
... 285CHAPTER16h[i] 'sin(2B fCi )i BWindowed-Sinc FiltersWindowed-sinc filters are used to separate one band of frequencies from another. They are verystable, ... convolution, windowed-sinc filters are easy to program, but slow to execute. Chapter18 shows how the FFT can be used to dramatically improve the computational speed of thesefilters. Strategy of the ... Signal Processing292FIGU...
... 297CHAPTER17Custom FiltersMost filters have one of the four standard frequency responses: low-pass, high-pass, band-passor band-reject. This chapter presents a general method of designing digital filters ... 17-9Example of using three optimal filters. Thesesignals result from filtering the waveform in Fig.17-7 with the filters in Fig. 17-8. Each of thesethree filters is optimal in so...
... Impulse Response Filters 4.1 INTRODUCTION In Chapter 2, we discussed the analysis of discrete-time systems to obtain their output due to a given input sequence in the time domain, using recursive algo- ... which we obtain a recursive formula to generate Chebyshev polynomials of any order, as C 0 () = 1 C k+1 () = 2C k () − C k−1 () (4.52) MAGNITUDE APPROXIMATION OF ANALOG FILTERS...