Manuscript Em03-G@1 · Em03-G-v1.tex · section · 0bb3a8a3

Normal packet restrictions and interference kernels

The complete scalar radiation channel › Normal packet restrictions and interference kernels · lines 755–765

Choose orthonormal compact-band outgoing packets $h_{1}, \dots, h_{m}$ . Put

k = span_{C} {v_{h_{1}}, \dots, v_{h_{m}}, a_{1}, a_{2}} .

Its dimension is at most $m + 2$ , and its occupation matrix is finite. Choose an ordinary orthonormal basis whose first $m$ vectors are the selected packets.

Displayed formulas in this passage

unlabeled · line 759
$k = span_{C} {v_{h_{1}}, \dots, v_{h_{m}}, a_{1}, a_{2}} .$

Nearby in this section

lemma: Lemma: Finite participating Gaussian density
section: Normal packet restrictions and interference kernels
theorem: Theorem: Normal outgoing-packet channel and Choi state
section: Normal packet restrictions and interference kernels