Breaking News
Comments
BicycleBill
User Rank
Author
re: Analyze FIR filters using high-school algebra
BicycleBill   2/15/2012 8:20:00 PM
NO RATINGS
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
User Rank
Author
re: Analyze FIR filters using high-school algebra
old account Frank Eory   2/15/2012 10:30:46 PM
NO RATINGS
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
User Rank
Author
re: Analyze FIR filters using high-school algebra
kendallcp   2/20/2012 6:21:59 PM
NO RATINGS
Hi Frank - wait for part 2, hope the point will be much clearer then!

Chipmuenk
User Rank
Author
re: Analyze FIR filters using high-school algebra
Chipmuenk   2/23/2012 11:36:29 AM
NO RATINGS
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
User Rank
Author
re: Analyze FIR filters using high-school algebra
kendallcp   2/23/2012 9:24:00 PM
NO RATINGS
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
User Rank
Author
re: Analyze FIR filters using high-school algebra
Chipmuenk   2/24/2012 1:37:59 PM
NO RATINGS
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 ...



Datasheets.com Parts Search

185 million searchable parts
(please enter a part number or hit search to begin)
Radio
LATEST ARCHIVED BROADCAST

What are the engineering and design challenges in creating successful IoT devices? These devices are usually small, resource-constrained electronics designed to sense, collect, send, and/or interpret data. Some of the devices need to be smart enough to act upon data in real time, 24/7. Specifically the guests will discuss sensors, security, and lessons from IoT deployments.

Brought to you by:

Like Us on Facebook
Special Video Section
Once the base layer of a design has been taped out, making ...
In this short video we show an LED light demo to ...
The LTC2380-24 is a versatile 24-bit SAR ADC that combines ...
In this short video we show an LED light demo to ...
02:46
Wireless Power enables applications where it is difficult ...
07:41
LEDs are being used in current luxury model automotive ...
With design sizes expected to increase by 5X through 2020, ...
01:48
Linear Technology’s LT8330 and LT8331, two Low Quiescent ...
The quality and reliability of Mill-Max's two-piece ...
LED lighting is an important feature in today’s and future ...
05:27
The LT8602 has two high voltage buck regulators with an ...
05:18
Silego Technology’s highly versatile Mixed-signal GreenPAK ...
The quality and reliability of Mill-Max's two-piece ...
01:34
Why the multicopter? It has every thing in it. 58 of ...
Security is important in all parts of the IoT chain, ...
Infineon explains their philosophy and why the multicopter ...
The LTC4282 Hot SwapTM controller allows a board to be ...
This video highlights the Zynq® UltraScale+™ MPSoC, and sho...
Homeowners may soon be able to store the energy generated ...
The LTC®6363 is a low power, low noise, fully differential ...