Impairment of Goodwill and Acquired Intangible Assets (Details)	3 Months Ended				12 Months Ended
	Dec. 30, 2017 USD ($)	Sep. 30, 2017 USD ($)	Oct. 01, 2016 USD ($)	Jan. 02, 2016 USD ($)	Dec. 30, 2017 USD ($) segment	Dec. 31, 2016 USD ($) segment	Jan. 02, 2016 USD ($) segment
Finite-Lived Intangible Assets [Line Items]
Impairment of intangible assets			$ 7,900,000		$ 32,431,000	$ 7,866,000
Goodwill impairment					$ 0	$ 0	$ 12,700,000
Number of operating segment | segment					1		2
Number of reportable segment | segment					1	1	2
Impairment of goodwill and acquired intangible assets					$ 32,431,000	$ 7,866,000	$ 21,655,000
Developed technology
Finite-Lived Intangible Assets [Line Items]
Impairment of intangible assets					32,431,000	0
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Impairment of intangible assets					0	7,866,000
Silicon Image, Inc | Developed technology
Finite-Lived Intangible Assets [Line Items]
Impairment of intangible assets		$ 36,200,000			$ 32,400,000
Reduction to preliminary impairment charge	$ 3,800,000
Qterics
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment						12,700,000
Impairment of goodwill and acquired intangible assets						$ 21,700,000
Percentage of impaired goodwill and intangible assets						92.00%
Core Segment
Finite-Lived Intangible Assets [Line Items]
Impairment of goodwill and acquired intangible assets							$ 0
Disposal Group, Disposed of by Sale | Qterics
Finite-Lived Intangible Assets [Line Items]
Impairment of intangible assets				$ 9,000,000
Disposal Group, Disposed of by Sale | Qterics | Developed technology
Finite-Lived Intangible Assets [Line Items]
Impairment of intangible assets						$ 3,900,000
Disposal Group, Disposed of by Sale | Qterics | Customer relationships
Finite-Lived Intangible Assets [Line Items]
Impairment of intangible assets						$ 5,100,000
Disposal Group, Disposed of by Sale | Hyderabad
Finite-Lived Intangible Assets [Line Items]
Ownership percentage	100.00%				100.00%