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Introduction to Digital Signal Processing by Robert Meddins

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Appendix B

Frequency transformations in the s- and z-domains

s-DOMAIN TRANSFORMATIONS

To transform from a lowpass filter with cut-off frequency ω:

image

where Ωc is the new cut-off frequency for the low and highpass filters, and Ω1 and Ωh are the lower and higher cut-off frequencies for the bandstop and bandpass filters.

z-DOMAIN TRANSFORMATIONS

To transform from a lowpass filter with cut-off frequency ω:

image

where Ωc is the new cut-off frequency for the low and highpass filters, and Ω1 and Ωh are the lower and higher cut-off frequencies for the ...

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