In signal processing, a polyphase matrix is a matrix whose elements are filter masks. It represents a filter bank as it is used in sub-band coders alias discrete wavelet transforms. If are two filters, then one level the traditional wavelet transform maps an input signal to two output signals , each of the half length: Note, that the dot means polynomial multiplication; i.e., convolution and means downsampling. If the above formula is implemented directly, you will compute values that are subsequently flushed by the down-sampling. You can avoid their computation by splitting the filters and the signal into even and odd indexed values before the wavelet transformation: The arrows and denote left and right shifting, respectively. They shall have the same precedence like convolution, because they are in fact convolutions with a shifted discrete delta impulse. The wavelet transformation reformulated to the split filters is: This can be written as matrix-vector-multiplication This matrix is the polyphase matrix. Of course, a polyphase matrix can have any size, it need not to have square shape. That is, the principle scales well to any filterbanks, , wavelet transforms based on fractional refinements. (Wikipedia).
What is Polypropylene and what is it used for?
From wiki: Polypropylene, also known as polypropene, is a thermoplastic polymer used in a wide variety of applications. It is produced via chain-growth polymerization from the monomer propylene. Polypropylene belongs to the group of polyolefins and is partially crystalline and non-polar. W
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.
From playlist 3D printing
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
Polymorphs can be a headache for people who make pharmaceuticals. Find out why? More chemistry at http://www.periodicvideos.com/
From playlist Chem Definition - Periodic Videos
GRCon21 - A GNU Radio SETI Pipeline for the Allen Telescope Array
Presented by Michele Yiwei Chai, Wael Farah, Luigi Cruz, and Richard Elkins at GNU Radio Conference 2021. The SETI Institute's Allen Telescope Array (ATA) is a radio interferometer composed of forty-two dishes, each 6.1m in diameter. Its main science goal is to perform searches for techno
From playlist GRCon 2021
What are four types of polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
History of 3-phase Electricity & Distribution
Who invented 3-phase electrical distribution? Nikola Tesla? Mikhail Dolivo-Dobrovolsky? In this video I go through the detailed history from primary sources of this important EE discovery, how it works, and why it is important. Links: My mailing list (with a link for a video on the histo
From playlist "The Lightning Tamers": A History of Electricity
What Is The Best Way To Sleep?
Please Subscribe! http://testu.be/1FjtHn5 A good nights sleep is critical for health, creativity, and even preventing disease and disorders. Are you letting your body rejuvenate properly? + + + + + + + + TestTube Plus is built for enthusiastic science fans seeking out comprehensive conv
From playlist Seeker Plus
What Do Scientists Really Know About Polyphasic Sleep?
It is important to get enough sleep, but what happens when you get those eight hours in little naps instead of in one big chunk at night? Hosted by: Michael Aranda Head to https://scishowfinds.com/ for hand selected artifacts of the universe! ---------- Support SciShow by becoming a pat
From playlist Biology
Just what exactly would happen to your body if instead of sleeping you decided to only take naps. - Thanks to LastPass for sponsoring this video! To create a LastPass account for free & support Life Noggin, go to: http://bit.ly/2LLSQLT Watch more: Live 200 Years? This Is How You Could Do
From playlist Latest Uploads | Life Noggin
Tesla Fact vs. Fiction: Why the Public Perception is Wrong
Almost everything commonly told about Tesla is wrong! He didn't invent AC, he didn't battle Edison over AC vs. DC, he didn't even have a rivalry with Edison, he didn't want to give everyone free electricity and he wasn't a Physics genius! Referencing primary sources I can show you why we
From playlist "The Lightning Tamers": A History of Electricity
What is Polystyrene (styrofoam) and what is it used for?
from wiki: Polystyrene is a synthetic aromatic hydrocarbon polymer made from the monomer known as styrene. Polystyrene can be solid or foamed. General-purpose polystyrene is clear, hard, and rather brittle. It is an inexpensive resin per unit weight. Formula: (C8H8)n IUPAC ID: poly(1-phen
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
In the future, will we eliminate the need for sleep? Is it possible to get by on just a few hours' rest, or no sleep at all? We take a look at slumberland and how technology might play a role in helping us get the rest we need. ------------------------------------------------------- Subs
From playlist Fw:Thinking
What is a Polygon? | Don't Memorise
To learn more about Polygons, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=MPYNEYeLYaQ&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 what is a polygon? To watch more videos related to G
From playlist Area of a Regular Polygon
Polysaccharides - Starch, Amylose, Amylopectin, Glycogen, & Cellulose - Carbohydrates
This Biology video tutorial provides an intro into Polysaccharides such as Starch, Amylose, Amylopectin, Glycogen, and Cellulose. It discusses the type of glycosidic bonds formed in these polymers and their orientation such as the alpha and beta forms. My Website: https://www.video-tuto
From playlist Biology
Do We REALLY Need To Sleep? | Earth Lab
No one knows why we sleep, so do we really need it? BBC Earth Lab explains one of the animal kingdom's latest mysteries. "Subscribe to Earth Lab for more fascinating science videos - http://bit.ly/SubscribeToEarthLab All the best Earth Lab videos http://bit.ly/EarthLabOriginals Best of
From playlist Earth Lab Originals - Fresh from the BBC Earth Lab
What is polyethylene and what do we use it for?
From wiki: Polyethylene or polythene is the most common plastic in use today. It is a linear, man-made, addition, homo-polymer, primarily used for packaging. As of 2017, over 100 million tonnes of polyethylene resins are being produced annually, accounting for 34% of the total plastics mar
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
Stuff They Don't Want You to Know - Deceptive Brain: Part 2
It's true that your brain may not be nearly as objective as you'd hope, but sometimes these eccentricities can work in your favor. Tune in to learn how you can hack your brain for better performance. http://howstuffworks.com http://facebook.com/ConspiracyStuff http://twitter.com/conspirac
From playlist Stuff They Don't Want You To Know
What are the names of different types of polygons based on the number of sides
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons