Appendix C: A Multirate Signal Processing Example

The following example uses the signal processing packages to derive the input-output relationship of a two-channel non-uniform filter bank with frequency band splits of 2#tex2html_wrap_inline3661#3 and 1#tex2html_wrap_inline3663#3 in the upper and lower channels, respectively.



The Flow Graph




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Representation in <#1192#>Mathematica<#1192#>



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TEX form of the input-output relationship derived using <#927#>ZTransform<#927#>



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#tex2html_wrap_inline3667##tex2html_wrap_inline3668##tex2html_wrap_inline3669#(- #tex2html_wrap_inline3670#)#tex2html_wrap_inline3671#(- #tex2html_wrap_inline3672#) + #tex2html_wrap_inline3673#(#tex2html_wrap_inline3674#)#tex2html_wrap_inline3675#(#tex2html_wrap_inline3676#) + 2#tex2html_wrap_inline3677#(z)#tex2html_wrap_inline3678#(z)#tex2html_wrap_inline3679#X(z) +
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