IM PLAYING XBOX ON THIS TV SHOULD I PUT IT TO 480p 720p or 1080i

Video Output Settings Adjust the system's video output settings. Select the best output settings for the TV in use.
1.
Check the resolution supported by your TV.
Resolution (video mode) varies depending on the TV type. For details, refer to the instructions supplied with the TV.
2.
Select (Settings) > (Display Settings).
3.
Select [Video Output Settings].
4.
Select the connector type on your TV.
Resolution (video mode) varies depending on the type of connector used.
Input connector on the TV Supported video modes (NTSC region) *1 Supported video modes (PAL region) *1 HDMI 1080p / 1080i / 720p / 480p 1080p / 1080i / 720p / 576p Component / D-Terminal *2 1080p / 1080i / 720p / 480p / 480i 1080p / 1080i / 720p / 576p / 576i Composite / S Video *3 480i 576i AV MULTI / SCART *4 480p / 480i 576p / 576i *1 The video mode options vary depending on the region where the PS3™ system was purchased. In North America, Asia and other NTSC regions, 480i video mode is displayed as [Standard (NTSC)]. In Europe and other PAL regions, 576i video mode is displayed as [Standard (PAL)]. For details, refer to the instructions supplied with the product.
*2 D-terminal is a connector type used mainly in Japan. The resolutions supported by D1-D5 are as follows:
D5: 1080p / 720p / 1080i / 480p / 480i
D4: 1080i / 720p / 480p / 480i
D3: 1080i / 480p / 480i
D2: 480p / 480i
D1: 480i
*3 Composite is the connector used to connect the AV cable that is supplied with the PS3™ system. S VIDEO is a format mainly used in Japan.
*4 AV MULTI is a format mainly used in Japan. SCART is a format mainly used in Europe. If [AV MULTI / SCART] is selected, the screen allowing you to select the type of output signal will be displayed.
5.
Change video output settings.
Change the resolution for the video output. Depending on the connector type selected in step 4, this screen may not be displayed.
6.
Set the resolution.
Select all resolutions supported by the TV in use. Video will automatically be output at the highest resolution possible for the content you are playing from among the selected resolutions.*
* The video resolution is selected in order of priority as follows: 1080p > 1080i > 720p > 480p/576p > Standard (NTSC:480i/PAL:576i).

If [Composite / S Video] is selected in step 4, the screen for selecting resolutions will not be displayed.
If [HDMI] is selected, you can also select to automatically adjust the resolution (the HDMI device must be turned on). In this case, the screen for selecting resolutions will not be displayed.
7.
Set the TV type.
Select the type of TV in use. Set when only SD resolution (NTSC:480p / 480i, PAL: 576p / 576i) is to be output such as when [Composite / S Video] or [AV MULTI / SCART] is selected in step 4.
8.
Check your settings.
Confirm that the image displayed is at the correct resolution for the TV. You can go back to a previous screen and revise the settings by pressing the button.
9.
Save your settings.
The video output settings are saved on the PS3™ system. You can continue on to set audio output settings. For details on audio output, see (Settings) > (Sound Settings) > [Audio Output Settings] in this guide.



Source: http://manuals.playstation.net/document/en/ps3/current/settings/videooutput.html

You'll need to get service menu and do full convergence in 1080i mode.

Best to contact sony, local game repair shop.

your dvd is set to 480p. if it is a convertable dvd player set it to 1080i. the tv sets itsef to whatever the dvd player displays. if not all dvd is 480 to 720 p. blu ray will get you top notch 1080 display.

The TV resolution is 720p

Adjust the system's video output settings. Select the best output settings for the TV in use.

1. Check the resolution supported by your TV.
Resolution (video mode) varies depending on the TV type. For details, refer to the instructions supplied with the TV.

2. Select (Display Settings) under (Settings) in the home menu.

3. Select [Video Output Settings].

4. Select the connector type on your TV.
Resolution (video mode) varies depending on the type of connector used.

Input connector on the TV Supported video modes (NTSC region) *1 Supported video modes (PAL region) *1
HDMI 1080p / 1080i / 720p / 480p 1080p / 1080i / 720p / 576p
Component / D-Terminal *2 1080p / 1080i / 720p / 480p / 480i 1080p / 1080i / 720p / 576p / 576i
Composite / S Video *3 480i 576i
AV MULTI / SCART *4 480p / 480i 576p / 576i
*1 The video mode options vary depending on the region where the PS3™ system was purchased. In North America, Asia and other NTSC regions, 480i video mode is displayed as [Standard (NTSC)]. In Europe and other PAL regions, 576i video mode is displayed as [Standard (PAL)]. For details, refer to the instructions supplied with the product.

*2 D-terminal is a connector type used mainly in Japan. The resolutions supported by D1-D5 are as follows:
D5: 1080p / 720p / 1080i / 480p / 480i
D4: 1080i / 720p / 480p / 480i
D3: 1080i / 480p / 480i
D2: 480p / 480i
D1: 480i

*3 Composite is the connector used to connect the AV cable that is supplied with the PS3™ system. S VIDEO is a format mainly used in Japan.

*4 AV MULTI is a format mainly used in Japan. SCART is a format mainly used in Europe. If [AV MULTI / SCART] is selected, the screen allowing you to select the type of output signal will be displayed.


5. Change video output settings.
Change the resolution for the video output. Depending on the connector type selected in step 4, this screen may not be displayed.

6. Set the resolution.
Select all resolutions supported by the TV in use. Video will automatically be output at the highest resolution possible for the content you are playing from among the selected resolutions.*
* The video resolution is selected in order of priority as follows: 1080p > 1080i > 720p > 480p/576p > Standard (NTSC:480i/PAL:576i).
If [Composite / S Video] is selected in step 4, the screen for selecting resolutions will not be displayed.
If [HDMI] is selected, you can also select to automatically adjust the resolution (the HDMI device must be turned on). In this case, the screen for selecting resolutions will not be displayed.

7. Set the TV type.
Select the type of TV in use. Set when only SD resolution (NTSC:480p / 480i, PAL: 576p / 576i) is to be output such as when [Composite / S Video] or [AV MULTI / SCART] is selected in step 4.

8. Check your settings.
Confirm that the image displayed is at the correct resolution for the TV. You can go back to a previous screen and revise the settings by pressing the button.

9. Save your settings.
The video output settings are saved on the PS3™ system. You can continue on to set audio output settings. For details on audio output, see (Settings) > (Sound Settings) > [Audio Output Settings] in this guide.

The TV has a automatic scalier chip installed so it depends on the input signal that you are using. For example you are using a HDMI connection with a xbox 360 and you set the display setting to 720P then the TV will display it in 720P. If you set it to 480P then it will display it in 480P.

Hi Scan 1080™: Enables you to receive the 1080i, 720p, 480p and 480i digital TV formats. By using the VIDEO 5/6 IN jacks, you can connect a DTV (digital television) receiver to view DTV programs. q DRC ™ Multi-Function: Unlike conventional line doublers, the DRC feature doubles vertical and horizontal lines, resulting in four times the density for quality sources such as DVD, Satellite and Digital camcorder. q CineMotion™: Using the 2-3 Pull-Down technology, the CineMotion feature allows you to obtain a smooth picture movement when playing back movies or other video sources on film. q Twin View™: Using Multi-Image Driver (MID-X), Twin View allows you to watch two programs side by side with the ability to zoom in one picture and listen to selected window. You can watch pictures from two different sources (1080i, 720p, 480p or 480i) simultaneously. q 16:9 Enhancement: Vertical Compression technology that maximizes picture resolution on “anamorphic” or “enhanced for wide screen” sources, including selected DVDs. q Steady Sound™: Equalizes volume levels so there is consistent output between programs and commercials. q Parental Control: V-Chip technology allows parents to block unsuitable programming for younger viewers. q Component Video Inputs: Offers the best video quality for DVD (480p, 480i) and Digital Set-top box (1080i, 720p, 480p, 480i) connections. q S-VIDEO Inputs: Provides a high-quality image for connected equipment. q Favorite Channel Preview: Preview up to eight favorite channels

check that you have all avalubal resulutions sulected in your displt settings i.e. 480p 720p 1080i and 1080p all the ones your tv will support my ps3 was doing the same thing untell i checked 480p as well as 720p and 1080i now when I play a dvd my tv swiches to 480p and the dvd will play.

Your tv, 32LA30Q Television can only support up to 1080i, not 1080p, that is why you cant run it at 1080p, as the hdmi inpute only allow, 1080i, 720p, 480p and 480i signals.