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Ideal Filter Digital Signal Processing--FIR Digital Filter Design Dl@)- -8 |o≤0 .The frequency characteristics are ,o.≤o≤π periodic and even functions. dp(k)=sin(@k)/() .Phase are all considered zero. D:@)= ≤0 如 .Sharp edges at cutoff frequencies dnp(k)=6(k)-sin(@k)/(k) Infinite length sequences are all even (or symmetrical)and real-valued 1, 0。≤⊙≤0 Dgp(@)= o,≤⊙≤π functions. 0 0≤ld≤oa .High pass filter equals to all pass filter dpp(k)= sin(;k)-sin(@k) minus low pass filter 水 0 0。≤⊙≤0 Band pass equals to one low pass filter o,≤⊙≤π minus the other low pass filter. 0≤o≤oa Band stop filter equals to all pass filter dps(k)=5(k)- sin(k)-sin(@k 水 minus band pass filter 上游克通大Digital Signal Processing—— FIR Digital Filter Design Ideal Filter •The frequency characteristics are periodic and even functions. •Phase are all considered zero. •Sharp edges at cutoff frequencies •Infinite length sequences are all even (or symmetrical) and real-valued functions. •High pass filter equals to all pass filter minus low pass filter •Band pass equals to one low pass filter minus the other low pass filter. •Band stop filter equals to all pass filter minus band pass filter
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