THE COMPLEX DIGITAL FILTER AND ITS APPLICATIONS IN DIGITAL SIGNAL PROCESSING
International Telemetering Conference Proceedings / October 10-12, 1972 / International Hotel, Los Angeles, California === Digital computer simulation of communication systems have been gaining wide acceptance and usage as a tool for analysis. In some cases, when the number of independent paramete...
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| Language: | en_US |
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International Foundation for Telemetering
1972
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| Online Access: | http://hdl.handle.net/10150/605389 http://arizona.openrepository.com/arizona/handle/10150/605389 |
| Summary: | International Telemetering Conference Proceedings / October 10-12, 1972 / International Hotel, Los Angeles, California === Digital computer simulation of communication systems have been gaining
wide acceptance and usage as a tool for analysis. In some cases, when the number of
independent parameters is large or the processes are highly nonlinear, it is the only
viable technique. In most digital computer simulations, the digital representation of
bandpass filters can impose serious synthesis problems when conventional digital filter
synthesis techniques are utilized. It is shown that the use of a complex (real and
imaginary) technique of digital filter synthesis can eliminate several of the synthesis
problems associated with conventional techniques. Three applications of the com lex
technique are described in this paper.
The three applications discussed in this paper are listed below with a short description of
each.
1. A lowpass-to-bandpass transformation is described that preserves all lowpass
characteristics of the filter. For instance the gain and group delay functions remain
symmetrical for any center frequency and bandwidth.
2. The synthesis of analytic representations of real signals can be easily achieved by
the use of a complex digital filter. An important advantage of analytic signals is that their
envelope and phase are instantaneously available.
3. Equalization of bandpass characteristics can be effected at lowpass and then
shifted to the proper frequency without any undesirable warping effects.
Complex digital filter synthesis has been described previously, but very little emphasis
has been placed on the application of this technique. Advances in the art of miniature
high speed digital circuitry will allow the advantages of complex filtering to be realized
in actual systems as well as digital simulations. |
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