Tuesday, April 15, 2003

Jabberwocky for Space-Time Trellis Codes over Multiple Input Multiple Output fading channels. If this does not get me financial aid, nothing else will !!!

‘Twas trellis and the slithy receivers
Did MRRC and CDMA in the wireless-age:
All Viterbi were the decoders,
And the capacities outage.

“Beware the Ungerboeck, my son!
The signals that fade, the matrices that form!
Beware the Nakagami bird, and shun
The Frobenius norm !”

He took his SVD in hand:
Long time the matrix he fought --
So factorized he by the Cholesky tree,
And held the eigenvalues he sought.

And as in Chernoff bound he stood
The Ungerboeck, on each frame
Came coding through the channel
Keeping Tx-rate the same.

Erfc Q, erfc Q, and through and through
The channel went suddenly slack
He left it degenerate, and with its eigenmode
He went waterpouring back.

“And has thou analyzed the Ungerboeck, my son ?
Come to my arms, my ergodic boy !
Map the constellation, BPSK, QPSK !”
He diversity-gained in joy.

‘Twas trellis and the slithy receivers
Did MRRC and CDMA in the wireless-age:
All Viterbi were the decoders,
And the capacities outage.