Sharp is reportedly working to supply Apple with 32-inch and 37-inch LCD panels for its Siri-equipped HDTV. Manufacturers could begin building the new televisions as soon as the first quarter, DigiTimes said on Tuesday, and a public launch could occur in the second or third quarter next year. Samsung reportedly began building chips for the “iTV’ devices in November, too. The Wall Street Journal said earlier this month that Apple was already beginning to pitch the voice-controlled TV to top media executives and an article in The New York Times recently said that Apple will “absolutely” launch a TV with Siri-powered voice controls that will replace the remote. Tuesday’s report is in line with an earlier report from an analyst that also said Sharp will provide the displays and that a mid-2012 launch is possible.