In another variant (Intel Corporation 82801H (ICH8 Family) HD Audio Controller (rev 02)), this device is integrated on the Foxconn G9657MA-8KS2H mainboard; it works.

Intel Corporation 82801H (ICH8 Family) HD Audio Controller (rev 02) is integrated in the Dell Inspiron 1525 (PP29L) notebook.

lspci -vmmnn

Slot:	00:1b.0
Class:	Audio device [0403]
Vendor:	Intel Corporation [8086]
Device:	82801H (ICH8 Family) HD Audio Controller [284b]
SVendor:	ASUSTeK Computer Inc. [1043]
SDevice:	Device [1763]
Rev:	03

lspci -v

00:1b.0 Audio device: Intel Corporation 82801H (ICH8 Family) HD Audio Controller (rev 03)
	Subsystem: Dell Device 0273
	Flags: bus master, fast devsel, latency 0, IRQ 47
	Memory at f8300000 (64-bit, non-prefetchable) [size=16K]
	Capabilities: [50] Power Management version 2
	Capabilities: [60] MSI: Enable+ Count=1/1 Maskable- 64bit+
	Capabilities: [70] Express Root Complex Integrated Endpoint, MSI 00
	Capabilities: [100] Virtual Channel
	Capabilities: [130] Root Complex Link
	Kernel driver in use: snd_hda_intel
	Kernel modules: snd-hda-intel

lspci

00:1b.0 Audio device: Intel Corporation 82801H (ICH8 Family) HD Audio Controller (rev 03)

lspci -nnpk

00:1b.0 Audio device [0403]: Intel Corporation 82801H (ICH8 Family) HD Audio Controller [8086:284b] (rev 03)

lspci -nnk

00:1b.0 Audio device [0403]: Intel Corporation 82801H (ICH8 Family) HD Audio Controller [8086:284b] (rev 03)
	Subsystem: ASUSTeK Computer Inc. Device [1043:1763]
	Kernel driver in use: HDA Intel
	Kernel modules: snd-hda-intel