LQ decomposition
1
$begingroup$
so I'm studying for Dirty Paper Coding on MU-MIMO, the system needs LQ decomposition in it. and I want to ask, where do we get the value of L (as in lower matrix triangular) from this case? can anyone help? thank you so much
matrices
asked Sep 3 '14 at 13:35
Nadhia Iffah SaraswatiNadhia Iffah Saraswati
61
$endgroup$
add a comment |
1
$begingroup$
so I'm studying for Dirty Paper Coding on MU-MIMO, the system needs LQ decomposition in it. and I want to ask, where do we get the value of L (as in lower matrix triangular) from this case? can anyone help? thank you so much
matrices
asked Sep 3 '14 at 13:35
Nadhia Iffah SaraswatiNadhia Iffah Saraswati
61
$endgroup$
add a comment |
1
1
1
$begingroup$
so I'm studying for Dirty Paper Coding on MU-MIMO, the system needs LQ decomposition in it. and I want to ask, where do we get the value of L (as in lower matrix triangular) from this case? can anyone help? thank you so much
matrices
asked Sep 3 '14 at 13:35
Nadhia Iffah SaraswatiNadhia Iffah Saraswati
61
$endgroup$
so I'm studying for Dirty Paper Coding on MU-MIMO, the system needs LQ decomposition in it. and I want to ask, where do we get the value of L (as in lower matrix triangular) from this case? can anyone help? thank you so much
matrices
matrices
asked Sep 3 '14 at 13:35
Nadhia Iffah SaraswatiNadhia Iffah Saraswati
61
asked Sep 3 '14 at 13:35
Nadhia Iffah SaraswatiNadhia Iffah Saraswati
61
asked Sep 3 '14 at 13:35
Nadhia Iffah SaraswatiNadhia Iffah Saraswati
61
asked Sep 3 '14 at 13:35
Nadhia Iffah SaraswatiNadhia Iffah Saraswati
61
asked Sep 3 '14 at 13:35
Nadhia Iffah SaraswatiNadhia Iffah Saraswati
61
61
add a comment |
add a comment |
1 Answer
1
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oldest
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0
$begingroup$
It is a generalization of QR decomposition. You can read more about LQ decomposition here.
answered Sep 3 '14 at 13:37
user153012user153012
6,30322277
$endgroup$
1
$begingroup$
thank you, it's from gram-schmidt's methode and R matrix transpose, now I get it. thank you
$endgroup$
– Nadhia Iffah Saraswati
Sep 24 '14 at 0:41
$begingroup$
@NadhiaIffahSaraswati You're welcome. The point is not that. Here $L$ is a lower triangle matrix, and $Q$ is an orthogonal matrix. How to produce the decomposition is another question. I think analogously, like in the QR decomposition, you can use also Householder transformation or Givens rotations.
$endgroup$
– user153012
Sep 24 '14 at 0:50
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
0
$begingroup$
It is a generalization of QR decomposition. You can read more about LQ decomposition here.
answered Sep 3 '14 at 13:37
user153012user153012
6,30322277
$endgroup$
1
$begingroup$
thank you, it's from gram-schmidt's methode and R matrix transpose, now I get it. thank you
$endgroup$
– Nadhia Iffah Saraswati
Sep 24 '14 at 0:41
$begingroup$
@NadhiaIffahSaraswati You're welcome. The point is not that. Here $L$ is a lower triangle matrix, and $Q$ is an orthogonal matrix. How to produce the decomposition is another question. I think analogously, like in the QR decomposition, you can use also Householder transformation or Givens rotations.
$endgroup$
– user153012
Sep 24 '14 at 0:50
add a comment |
0
$begingroup$
It is a generalization of QR decomposition. You can read more about LQ decomposition here.
answered Sep 3 '14 at 13:37
user153012user153012
6,30322277
$endgroup$
1
$begingroup$
thank you, it's from gram-schmidt's methode and R matrix transpose, now I get it. thank you
$endgroup$
– Nadhia Iffah Saraswati
Sep 24 '14 at 0:41
$begingroup$
@NadhiaIffahSaraswati You're welcome. The point is not that. Here $L$ is a lower triangle matrix, and $Q$ is an orthogonal matrix. How to produce the decomposition is another question. I think analogously, like in the QR decomposition, you can use also Householder transformation or Givens rotations.
$endgroup$
– user153012
Sep 24 '14 at 0:50
add a comment |
0
0
0
$begingroup$
It is a generalization of QR decomposition. You can read more about LQ decomposition here.
answered Sep 3 '14 at 13:37
user153012user153012
6,30322277
$endgroup$
It is a generalization of QR decomposition. You can read more about LQ decomposition here.
answered Sep 3 '14 at 13:37
user153012user153012
6,30322277
answered Sep 3 '14 at 13:37
user153012user153012
6,30322277
answered Sep 3 '14 at 13:37
user153012user153012
6,30322277
answered Sep 3 '14 at 13:37
user153012user153012
6,30322277
6,30322277
1
$begingroup$
thank you, it's from gram-schmidt's methode and R matrix transpose, now I get it. thank you
$endgroup$
– Nadhia Iffah Saraswati
Sep 24 '14 at 0:41
$begingroup$
@NadhiaIffahSaraswati You're welcome. The point is not that. Here $L$ is a lower triangle matrix, and $Q$ is an orthogonal matrix. How to produce the decomposition is another question. I think analogously, like in the QR decomposition, you can use also Householder transformation or Givens rotations.
$endgroup$
– user153012
Sep 24 '14 at 0:50
add a comment |
1
$begingroup$
thank you, it's from gram-schmidt's methode and R matrix transpose, now I get it. thank you
$endgroup$
– Nadhia Iffah Saraswati
Sep 24 '14 at 0:41
$begingroup$
@NadhiaIffahSaraswati You're welcome. The point is not that. Here $L$ is a lower triangle matrix, and $Q$ is an orthogonal matrix. How to produce the decomposition is another question. I think analogously, like in the QR decomposition, you can use also Householder transformation or Givens rotations.
$endgroup$
– user153012
Sep 24 '14 at 0:50
1
1
$begingroup$
thank you, it's from gram-schmidt's methode and R matrix transpose, now I get it. thank you
$endgroup$
– Nadhia Iffah Saraswati
Sep 24 '14 at 0:41
$begingroup$
thank you, it's from gram-schmidt's methode and R matrix transpose, now I get it. thank you
$endgroup$
– Nadhia Iffah Saraswati
Sep 24 '14 at 0:41
$begingroup$
@NadhiaIffahSaraswati You're welcome. The point is not that. Here $L$ is a lower triangle matrix, and $Q$ is an orthogonal matrix. How to produce the decomposition is another question. I think analogously, like in the QR decomposition, you can use also Householder transformation or Givens rotations.
$endgroup$
– user153012
Sep 24 '14 at 0:50
$begingroup$
@NadhiaIffahSaraswati You're welcome. The point is not that. Here $L$ is a lower triangle matrix, and $Q$ is an orthogonal matrix. How to produce the decomposition is another question. I think analogously, like in the QR decomposition, you can use also Householder transformation or Givens rotations.
$endgroup$
– user153012
Sep 24 '14 at 0:50
add a comment |
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