0:00:14 | oh okay the title of all these you V C C discrete fractional was similar |
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0:00:20 | optimal to for me its application i and is to show a formation of telling them word |
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0:00:27 | this is a a a a lot all at give something to actually a and that is quite a to |
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0:00:32 | a a a five week of a fun |
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0:00:35 | and we describe she's point |
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0:00:38 | and and we propose some fishing |
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0:00:41 | how front fall and we some of feature |
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0:00:44 | and make a convolution |
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0:00:45 | right |
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0:00:48 | like you that you know that you know discrete issue for us one four |
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0:00:54 | is uh |
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0:00:55 | come to new |
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0:00:56 | for to for use five or discrete version |
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0:00:59 | and this |
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0:01:01 | discrete for to real fun |
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0:01:03 | it's a generalized all a combination of we use one for |
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0:01:07 | we can to be a |
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0:01:08 | by a one party to be called of fractional of the |
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0:01:12 | and the |
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0:01:14 | right now they are many existing discrete fractional |
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0:01:19 | or a signal that's also just that much of my |
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0:01:22 | i to be the you have i have D |
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0:01:25 | right than |
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0:01:26 | D T you of the dct a fraction the discrete an for four |
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0:01:31 | and the only sixty |
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0:01:33 | one that that only important holds one for we need |
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0:01:37 | mobile and square compress |
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0:01:42 | and that will propose |
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0:01:45 | and new discrete fractional what what's one form the all that can be due to little although and to the |
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0:01:51 | one point five |
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0:01:52 | computation |
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0:01:54 | and the |
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0:01:55 | this a new only use of fractional will |
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0:01:58 | wrote you all that has small remote and four |
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0:02:01 | and uh |
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0:02:03 | what's of hot five or was that |
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0:02:05 | it's |
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0:02:06 | this free |
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0:02:07 | yeah base |
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0:02:08 | transform or and the |
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0:02:10 | in the reference for |
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0:02:12 | thirty |
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0:02:13 | it is quite a all all this kind of the how far as well |
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0:02:18 | and the |
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0:02:19 | in the last |
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0:02:20 | to to right S |
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0:02:22 | they try to use this front wall to deduce the |
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0:02:26 | uh a solution |
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0:02:27 | compress T |
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0:02:31 | and |
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0:02:33 | it this paper we try to |
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0:02:35 | fraction of |
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0:02:36 | how fun what we said to have a |
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0:02:38 | to to do you C is |
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0:02:40 | the press |
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0:02:41 | we we be |
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0:02:42 | you near to the whole and compress B |
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0:02:45 | we also a prior of this you if you transform to |
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0:02:48 | you could you the digital made |
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0:02:53 | and |
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0:02:53 | for we tried to define the hot spot all i already made to use the dft base |
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0:03:00 | or or a signal four |
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0:03:02 | it's more efficient than the |
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0:03:04 | yeah i |
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0:03:05 | and this this is this that and are probably meant to put that but we uh for |
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0:03:14 | and uh this we deal with |
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0:03:17 | that |
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0:03:18 | "'kay" by K |
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0:03:19 | yeah signs minutes |
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0:03:21 | a a five for is the or is just by |
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0:03:25 | this this side for quality board that i i that at macy's |
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0:03:29 | that this is a a week old of a one for |
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0:03:32 | but the time you will be case we have like a square |
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0:03:39 | and i i of so that that and my point |
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0:03:42 | a quite or |
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0:03:43 | this this |
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0:03:45 | nine one five part |
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0:03:47 | and this |
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0:03:48 | night for five times okay |
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0:03:51 | can be created |
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0:03:52 | three separate |
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0:03:54 | the the energy five |
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0:03:56 | such a this slide |
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0:03:57 | so we have this three |
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0:03:59 | paul all D T and three separate |
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0:04:03 | make a a a a a a five my point five |
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0:04:08 | all |
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0:04:10 | case we a point a five |
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0:04:12 | it |
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0:04:13 | but |
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0:04:14 | a that right |
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0:04:16 | yeah |
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0:04:18 | i |
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0:04:19 | and it's |
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0:04:19 | a case where |
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0:04:24 | oh okay |
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0:04:26 | okay my |
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0:04:27 | case where i |
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0:04:28 | and a pressed where |
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0:04:30 | and |
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0:04:31 | okay |
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0:04:33 | all that i five more C |
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0:04:39 | and |
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0:04:40 | yes very nice but |
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0:04:43 | it's your sorry |
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0:04:45 | the uh |
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0:04:46 | a five four hundred and i |
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0:04:50 | and it's |
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0:04:51 | man |
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0:04:53 | it's |
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0:04:53 | are |
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0:04:54 | if you the |
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0:04:56 | i |
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0:04:57 | i |
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0:04:58 | you where |
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0:04:59 | come i that you mess |
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0:05:02 | a |
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0:05:04 | how to find a a i can by it would is hot five four |
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0:05:08 | if we can find that |
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0:05:11 | i got back so you get |
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0:05:13 | that |
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0:05:14 | this is a a a a a little places |
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0:05:16 | that the |
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0:05:17 | but the at i got back to a call for that the |
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0:05:20 | the i that it is uh also a lot but is this will become the |
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0:05:24 | i i got back self a |
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0:05:30 | and uh i got back a |
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0:05:33 | also do you like to the D T eigen very |
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0:05:37 | yeah yeah yeah i |
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0:05:39 | oh |
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0:05:40 | i |
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0:05:44 | i |
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0:05:45 | and this is a a a a a a more recently |
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0:05:48 | i i you just |
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0:05:50 | i this could |
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0:05:52 | that will be the hot |
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0:05:53 | i got my much research |
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0:05:56 | and that come |
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0:05:57 | a few minutes |
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0:05:59 | if we can find that come really is |
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0:06:02 | to that or if the D M C |
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0:06:05 | a |
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0:06:06 | that this |
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0:06:07 | coming to at is called it that identity |
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0:06:10 | where you can be able to the fast five five |
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0:06:18 | and we tried for |
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0:06:21 | should no |
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0:06:22 | a so |
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0:06:25 | we are |
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0:06:25 | a a fraction of this |
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0:06:28 | a a a a a a i mean it's |
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0:06:30 | that is not a |
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0:06:32 | oh get the fraction at six |
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0:06:35 | a it's this is i i i with yes |
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0:06:37 | fraction i got that you a couple of this with uh |
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0:06:42 | you |
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0:06:43 | a a fraction all time |
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0:06:45 | it |
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0:06:50 | there are |
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0:06:51 | become identity matrices |
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0:06:53 | if this fragile all the is equal to one of this can be handy |
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0:06:58 | uh some basic the dog may six |
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0:07:00 | so the |
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0:07:01 | for G Y and that the all of you to get any kind of a |
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0:07:06 | actual all the say like the the old the three |
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0:07:09 | that's we called them |
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0:07:10 | flexible the T |
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0:07:13 | i |
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0:07:14 | the fraction all the times use just this french all that is that we make use for the case in |
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0:07:19 | the fraction you i i'd you become come to the |
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0:07:22 | i that at that we get this five version of the facts you all the past |
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0:07:31 | we can |
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0:07:32 | oh |
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0:07:33 | i |
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0:07:33 | i |
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0:07:34 | but you know a five |
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0:07:38 | this is a in of one |
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0:07:42 | and uh we already mentioned that |
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0:07:44 | is these uh |
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0:07:46 | the |
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0:07:47 | and one |
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0:07:48 | five |
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0:07:50 | uh this is |
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0:07:51 | do do you by |
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0:07:53 | but |
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0:07:55 | company |
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0:08:05 | is a a is you are C is |
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0:08:07 | the because i |
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0:08:10 | and uh |
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0:08:11 | i i that |
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0:08:13 | we have |
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0:08:14 | i might get |
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0:08:15 | that would be |
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0:08:17 | and |
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0:08:18 | for |
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0:08:20 | and all well |
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0:08:22 | yeah |
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0:08:23 | my and all the these |
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0:08:25 | you one three |
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0:08:27 | you you the three we |
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0:08:30 | five |
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0:08:36 | oh |
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0:08:36 | with a one |
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0:08:39 | uh i i |
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0:08:40 | a common |
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0:08:42 | a ha |
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0:08:46 | and you need to but it is uh |
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0:08:50 | make a a conjugate five this becomes i |
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0:08:56 | and |
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0:08:58 | i |
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0:08:59 | that that it is kind of an |
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0:09:02 | we can become come you this one that |
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0:09:05 | it |
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0:09:06 | L |
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0:09:07 | this is |
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0:09:08 | L Y and |
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0:09:09 | this is it all down and fine |
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0:09:13 | a you would be |
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0:09:15 | my and |
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0:09:16 | and L |
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0:09:17 | that L B by L C |
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0:09:20 | or or we and my yeah we we |
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0:09:23 | you you know all the |
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0:09:24 | all |
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0:09:25 | yes |
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0:09:26 | used to the |
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0:09:27 | you you i |
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0:09:29 | yeah |
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0:09:31 | and uh we try to |
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0:09:34 | you which is five |
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0:09:40 | i |
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0:09:41 | it's uh |
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0:09:43 | that |
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0:09:45 | and a but phase function |
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0:09:49 | just |
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0:10:09 | oh |
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0:10:10 | but three |
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0:10:16 | at time |
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0:10:41 | with |
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0:10:42 | here |
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0:11:03 | right but |
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0:11:07 | we |
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0:11:09 | for sure |
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0:11:11 | it |
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0:11:13 | uh |
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0:11:20 | and this is uh experimental now |
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0:11:23 | say |
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0:11:24 | this is already |
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0:11:27 | and try to |
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0:11:28 | if |
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0:11:29 | this |
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0:11:30 | you quickly |
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0:11:32 | if i get the right now we can i buy |
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0:11:35 | you you get a role |
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0:11:37 | you know what have i become |
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0:11:44 | oh i i'm a convolutional |
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0:11:46 | this paper |
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0:11:47 | in this table we define the a discrete fractional hot trends so my probably what that whole french the D |
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0:11:53 | and D |
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0:11:54 | and identically man six |
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0:11:56 | and uh |
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0:11:57 | this |
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0:11:59 | yeah yeah why a T is more easy to use than the combination of one |
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0:12:03 | and the old compress the D |
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0:12:05 | can be reduced to a |
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0:12:06 | and to the one point five even but in the |
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0:12:09 | the the older with and |
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0:12:11 | and that is all also has a very good quality |
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0:12:15 | and then we uh to this |
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0:12:18 | to the you you the digital the image |
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0:12:20 | and this from one |
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0:12:25 | i |
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0:12:29 | we actually but a one time |
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0:12:31 | a time to question |
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0:12:32 | yeah wish |
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0:12:44 | uh |
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0:12:45 | i i have a well what too much |
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0:12:46 | actually the first one is computational you know that would you know how fast can well |
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0:12:51 | you you actually |
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0:12:52 | for a it's a uh |
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0:12:54 | for points |
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0:12:55 | for what when you by one twenty |
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0:12:57 | how that's can you with that |
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0:13:00 | so |
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0:13:02 | although the unit |
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0:13:03 | so |
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0:13:04 | maybe L |
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0:13:06 | hence |
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0:13:06 | steve |
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0:13:07 | okay be used that all |
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0:13:09 | sixty four |
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0:13:10 | square |
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0:13:12 | and uh |
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0:13:14 | the next question is have you uh |
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0:13:17 | i actually trying to well |
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0:13:19 | there are two of the regression |
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0:13:22 | um the techniques |
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0:13:24 | in terms of a a a trying to one |
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0:13:27 | size or and the you image |
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0:13:29 | but |
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0:13:30 | that's we have two |
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0:13:33 | to make more for these investigation but the |
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0:13:36 | double random phase |
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0:13:38 | uh uh two people wind up |
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0:13:40 | optical imaging could |
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0:13:42 | and i |
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0:13:43 | we tried a couple into a discrete version |
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0:13:46 | oh image |
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0:13:48 | so a double random phase |
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0:13:50 | we we should use uh |
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0:13:51 | it's a popular scheme able to go for you |
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0:13:54 | one right now we are doing that |
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0:13:56 | do you to image |
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0:13:59 | oh man |
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0:14:06 | oh okay |
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0:14:09 | the the that that she right now we have a |
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0:14:12 | i D |
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0:14:13 | right the face |
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0:14:14 | that's a lot of space |
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0:14:17 | and also for power |
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0:14:19 | that's of a fraction although |
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0:14:21 | how talk |
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0:14:22 | that's a |
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0:14:23 | a total she's space |
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0:14:26 | signal |
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0:14:43 | you |
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