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The ideal lowpass filter of Fig.4.1 can now be described by the
following specifications:
- The transition width TW is zero (
in Fig.4.2).
- The pass-band and stop-band ripples are both zero
(
in Fig.4.2, and
).
As discussed above, these specifications are not achievable by any FIR
filter. It is instructive, however, to see how an optimal
least-squares design comes out in this case.
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