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BicycleBill
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re: Analyze FIR filters using high-school algebra
BicycleBill   2/15/2012 8:20:00 PM
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What high school in the US gets to this level of algebra?--you're lucky if they even go to second-order exponents or polynominals. Many stop at the y = x + N level. But besides that minor complaint, a very good article.

old account Frank Eory
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re: Analyze FIR filters using high-school algebra
old account Frank Eory   2/15/2012 10:30:46 PM
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Other than academic curiosity, I fail to see the advantage of factoring the polynomial of the full FIR filter just to see a bunch of neat little sub-filters. BTW Bill, it is quite common for U.S. high school students to get through a first year of calculus in high school, not to mention factoring polynomials, manipulating complex numbers and lots of other fun stuff :)

kendallcp
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re: Analyze FIR filters using high-school algebra
kendallcp   2/20/2012 6:21:59 PM
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Hi Frank - wait for part 2, hope the point will be much clearer then!

Chipmuenk
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re: Analyze FIR filters using high-school algebra
Chipmuenk   2/23/2012 11:36:29 AM
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Hi Kendall, well written & fun-to-read article as always from the filter guru! So, maybe I'm just a hair-splitter, but shouldn't it read *four* nulls and *four* first order terms in the last section? Cheers, Christian

kendallcp
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re: Analyze FIR filters using high-school algebra
kendallcp   2/23/2012 9:24:00 PM
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If we didn't split hairs, how would we know what's inside them (-8b But in this instance I stand by my assertion. Check equation [4]: it has three quadratic factors that have unity z^0, and three nulls in the stopband. I'm not counting the almost-null at Nyquist, on the grounds that 1.052235 doesn't equal unity...

Chipmuenk
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re: Analyze FIR filters using high-school algebra
Chipmuenk   2/24/2012 1:37:59 PM
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Oops - my only excuse is a bad cold slowing down my brain. I mixed up nulls on the real axis with conjugate complex nulls on the unit circle ...



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