The basic ideas is to simply
reorder the
DFT computation to expose the redundancies in the
DFT , and
exploit these to reduce computation!
Three conditions must be satisfied to make
this map serve our purposes
Each map must be one-to-one from
to
, because we want to do the
same computation, just in a different
order.
The map must be cleverly chosen so that computation is
reduced
The map should be chosen to make the short-length
transforms be
DFTs . (Not essential, since fast algorithms for
short-length
DFT -like computations could be developed, but it
makes our work easier.)
Conditions for one-to-oneness of general index map
Case i
,
relatively prime (greatest common denominator
) i.e.
and/or
and
,
Case ii
,
not relatively prime:
and
and
,
or
and
and
,
where
,
,
,
,
,
,
,
integers
radix-2 ,
radix-4 eliminate all multiplies in short-length
DFTs, but have twiddle factors: PFA eliminates all twiddlefactors, but ends up with multiplies in short-length
DFTs .
Surprisingly, total operation counts end up being very similarfor similar lengths.
Questions & Answers
Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from
Qd 120 3P
to
Qd 90 3P
and the supply function has shifted from
QS
20 2P
to
QS
10 2P .
a) Find the effect of this change on price and quantity.
b) Which of the changes in demand and supply is higher?
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
Got questions? Join the online conversation and get instant answers!