DSL connection loss (novice question)

I run Fedora 7 and use Verizon DSL. My modem is a Westell 6100-E90
modem/router. My DSL connection usually runs well. However, about once a
week or so I lose my Internet connection. I originally thought this was
due to DSL loss-of-sync. (My telephone line isn't that great. When I
used to use dial-up, I got lots of disconnections and retrains.)
However, I'm now not sure. When I lose my connection, the DSL LED on my
modem remains a solid green. I tried accessing the modem to view the
diagnostic log and the modem could not be accessed. I would think that
even if I lost sync, I should still be able to access the modem.
Following is the result of ifconfig and ping following a connection
loss. (When my connection is up, ping 192.168.1.1 works fine.)
/var/log/messages does not shed any light on this problem.

Is this a loss of sync, or some other failure? If it is a loss of sync,
why can't I access the modem?



[root@localhost ~]# ifconfig
eth0 Link encap:Ethernet HWaddr 00:07:E9:01:B2:09
inet addr:192.168.1.47 Bcast:255.255.255.255 Mask:255.255.255.0
inet6 addr: fe80::207:e9ff:fe01:b209/64 Scope:Link
UP BROADCAST MULTICAST MTU:1500 Metric:1
RX packets:184694 errors:0 dropped:0 overruns:0 frame:0
TX packets:135087 errors:0 dropped:0 overruns:0 carrier:0
collisions:0 txqueuelen:1000
RX bytes:268419465 (255.9 MiB) TX bytes:7410331 (7.0 MiB)

[root@localhost ~]# ping 192.168.1.1
PING 192.168.1.1 (192.168.1.1) 56(84) bytes of data.
From 192.168.1.47 icmp_seq=2 Destination Host Unreachable
From 192.168.1.47 icmp_seq=3 Destination Host Unreachable
From 192.168.1.47 icmp_seq=4 Destination Host Unreachable
From 192.168.1.47 icmp_seq=6 Destination Host Unreachable
From 192.168.1.47 icmp_seq=7 Destination Host Unreachable
From 192.168.1.47 icmp_seq=8 Destination Host Unreachable