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A simple derivation of the spectral transformations for IIR filters

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1 Author(s)
Dutta Roy, S.C. ; Dept. of Electr. Eng., Indian Inst. of Technol., New Delhi, India

A simple method is given for deriving the spectral transformations for infinite-impulse response (IIR) filters, which can be used to transform a prototype low-pass (LP) digital filter to another LP, high-pass (HP), bandpass (BP), or band-stop (BS) digital filter with prescribed passband edge(s) and the same tolerances as those of the prototype. The method is based on a combination of bilinear transformation with the analog frequency transformation and is simpler-conceptually, as well as from the calculation point of view-than the conventional method based on all-pass transformation functions.

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Education, IEEE Transactions on  (Volume:48 ,  Issue: 2 )