Saturday, 27 July 2013

Dr.Viterbi's attempt to simplify while teaching resulted in the Invention of the famous Viterbi Algorithm

Dr.Andrew Viterbi - Inventor of the famous Vitterbi Algorithm and Co-Founder of Qualcomm needs no introduction to those who are in the Wireless Communication arena.
Dr.Viterbi was very keen and interested in teaching.
So, a year  after receiving  his  doctorate  in  1962,  he  accepted  an
invitation to become an assistant professor at the
University of California, Los Angeles. There, he
started  teaching  information  theory  and digital
communications. When  it  came  to  teaching  the
problem of extracting digital signals out of noise,
the  standard way  of presenting  the  subject was
“complex and hard to teach,” Viterbi said. so he set about
trying  to  simplify  the  concepts  “to  teach  the  advanced
course  in  a better way.” After  three months  of  concen-
trated thought, in March 1966 he figured out a simplified
solution.
Thrilled at having devised a powerful new teaching aid,
he wrote a paper (published in 1967 in IEEE Transactions
on Information Theory) that frst expressed what is now
called the Viterbi algorithm, for teasing a faint digital signal
out of strong noise . But a colleague pointed
out that the algorithm—if it could be implemented in hard-
ware—also had powerful practical application in improving
the actual performance of communication systems. In fact,
it was  so powerful  that  engineers using  it  for missiles,
spacecraft tracking, or cellular telephones could pick from
a wonderful smorgasbord of choices: reducing transmitter
power, reducing receiving-antenna diameter, extending the
range of a transmitter, operating in a jammed environment,
or  increasing the number of users supported  in a cellular
system.
And therein lay the fundamental secret of the Viterbi
algorithm’s long, fruitful application in so many industries.

Excerpts from The Quiet Genius: Andrew J. Viterbi by  Trudy e. bell

Thursday, 18 July 2013

Myths of Learning Maths


There are lot of myths attached to 'maths'.
Only some people can be good at math and people need to possess certain kind of mind and mindset to excel in math ...

One of the profound idea that I came across in the following series of lectures of 15 to 20 minutes is that by making mistakes while doing math, two additional neural connections are formed.
1. While making the conceptual mistake
2. While reflecting and correcting the mistake

It continues to argue that people who get it right first all the time tend to have Fixed Minds whereas the the people tend to make more mistakes have a Growing Mind due to the increased neural connections !!!

Interesting set of video lectures from Stanford University professor on LEARNING MATH...

https://class.stanford.edu/courses/Education/EDUC115N/How_to_Learn_Math/about

Saturday, 29 June 2013