Digital Filters : Basics and Design

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Digital Filters : Basics and Design

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by: Dietrich Schlichthärle


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It is the aim of this textbook to give insight into the characteristics and the design of digital filters. It briefly introduces to the theory of continuous-time systems and the design methods for analog filters. Time-discrete systems, the basic structures of digital filters, sampling theorem, and the design of IIR filters are widely discussed. Important parts of the book are devoted to the design of non-recursive filters and the effects of finite register length. The explanation of techniques like oversampling and noise shaping conclude the book. It is completed by an annex containing a selection of tables of filter parameters for Butterworth, Chbeyshev, Cauer, and Bessel filters. Furthermore, several computer routines for filter design programs are given.

Textbook about the characteristics and design of digital filters. Introduces the theory of continuous-time systems and the design methods for analog filters. Also discusses discrete-time filters, sampling theorem, and the design of IIR filters. Techniques like oversampling and noise shaping conclude the text. DLC: Signal processing--Mathematics.

Reviews:

The difficulty comes really as a by product of the sheer size of the knowledge base in this subject. There are now so many papers published on each of the chapter headings that perhaps most writing projects of this sort would end up in an interminable fog. But there is an urgent need for such books, now that almost anyone can afford a DSP development kit, and you can create the most astonishing filters with characteristics that would be unimaginable some 20 years ago. But you would need help, and attempting to cover the whole field of design techniques is very difficult in a short time. Mind you, this book is by far one of the best I have ever seen. For instance, it covers the design of elliptic filters, though not really in the depth that you would need to be SURE.. pp27-33 is all there is here. But nontheless, I like the fact the the discussion isn't superficial, and that the sn function is drawn really well, and so on, but I think that more examples are really needed, and especially more help with translating requirments into actual elliptic filters. There is a section on filter architecture, and this is quite separate from the section on the various low pass approximations. Some terrible books recently have been written in such a way as to mix the two subjects, which is always an invitation to disaster. The section of Wave Digital filters is admirable. The work by Fetweiss has proved to be much more important than was suspected at the time, and there is some evidence that knowledge of wave digital filters is becoming desirable knowledge for some prospective employers, at least in the UK and Europe... The idea of covering limit cycles is a brave move, considering how complicated and unnerving this may be for beginners. This is done very well. Even better are the chapters on fixed point roundoff noise - so very important to those of us without floating point hardware to hand! This chapter is superb, and really goes a LONG way toward helping solve real problems. This was my favorite chapter of all. There is one deficiency in the book, and that is in design techniques where the phase alone is to be prescribed. This is a little alarming. All-pass filters are not even mentioned in the index - this might also cover the Hilbert transform for instance. Another class of filter not described are those filters which produce a pair of outputs with a quadrature relationship between them. Neither is the subject of filterbank design covered at all (aka perfect reconstruction, and all that). But that's rather specialised. I can't help but admire the book, and would only gently recommend to use it with other books which are perhaps more dilute in some ways, but perhaps in certain specialised areas, more replete with examples. But otherwise, do get it, since it's very unlikely that you won't be pleasantly surprised and very much informed by it.

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