Video Output Settings
If you previously connected you PlayStation 3 via the standard composite cables included at purchase, then switching to HDMI might conflict with the video output settings. Disconnect any composite or component cables before connecting the system via HDMI. If you don't, the PlayStation 3 will continue detecting the older cables. While the system is powered off, connect the HDMI. Press the power button, holding it for five to six seconds. After it beeps twice, release it and turn the system on. Your video settings will reset, and the HDMI connection should be detected.
HDMI Cable Category
HDMI cables are expensive but necessary for improved signal quality. Cutting costs and purchasing lower quality HDMI cables isn't recommended. In fact, low quality cables are often undetectable by the PlayStation 3. Standard speed, category 1 HDMI cables work for signals up to and including 720p or 1080i. The PlayStation 3 outputs 1080p signals, thereby making making category 1 HDMI unsuitable for the system's HD output. Instead, purchase a high-speed category 2, 28AWG HDMI cable. Category 2 cables are better shielded from interference and support 1080p HD data transmission.
HDMI Cable Length
It's best practice when using HDMI cables to refrain from installing one longer than 33 feet in length. While that might seem excessive, it's common practice in home theater installations to install components in racks of varying distances from the projection or video output source. Using an HDMI cable over 33 feet to connect the PlayStation 3 increases the opportunity for interference and signal degradation. If the signal is degraded, then the PS3 probably isn't detecting the HDMI cable, as video or audio transmission won't reach the intended output device.
Faulty HDMI Port
As with all electronics, components and ports go bad. If your PlayStation 3 detected your HDMI cable before and now doesn't, it might be HDMI port failure. This could be a manufacturing defect, but it can also be the result of a power surge from a severe lightening storm. While you can't check for evidence of the surge without opening the PlayStation 3, you can narrow it down by re-securing your HDMI cable on the rear of the PlayStation 3, resetting the video options, switching out HDMI cables, connecting the system to another television or switching HDMI inputs on the television. If the problem still exists, a faulty HDMI port is possibly to blame. Visit Sony's PlayStation support site for troubleshooting, support and repair information.