Acquisitions (Details) - USD ($) $ / shares in Units, $ in Thousands								3 Months Ended	12 Months Ended
	Dec. 07, 2017	Jan. 20, 2017	Oct. 03, 2016	Mar. 11, 2016	Nov. 20, 2015	Jan. 30, 2015	Jul. 01, 2013	Apr. 04, 2015	Dec. 30, 2017	Dec. 31, 2016	Dec. 31, 2016	Jan. 02, 2016	Dec. 31, 2015	Jan. 03, 2015
Acquisition
Payment of acquisition-related contingent consideration											$ 9,500	$ 4,464
Purchase price allocation
Goodwill									$ 288,227	$ 276,130	276,130	272,722
Weighted-Average Amortization Period									8 years
Customer relationships
Purchase price allocation
Weighted-Average Amortization Period									7 years
Trademarks
Purchase price allocation
Weighted-Average Amortization Period									7 years
Sigma Designs
Acquisition
Share Price	$ 7.05
Cash consideration	$ 282,000
Z-Wave
Acquisition
Purchase price of acquisition	$ 240,000
Zentri
Acquisition
Purchase price of acquisition		$ 18,100
Cash consideration		14,300
Earn-Out, fair value		3,800
Potential maximum contingent consideration that could be paid		10,000
Purchase price allocation
Intangible assets		6,700
Goodwill tax deductible		12,100
Other net liabilities		$ 700
Micrium
Acquisition
Purchase price of acquisition			$ 12,400
Cash consideration			8,200
Stock consideration			4,200
Additional stock consideration based on economic substance			1,000
Purchase price allocation
Intangible assets			9,500
Goodwill			3,400
Purchase price allocated to net tangible assets			$ (500)
Post-combination compensation expense recognition period (in years)			4 years
Micrium | Selling, general and administrative
Purchase price allocation
Acquisition-related costs										$ 300
Telegesis
Acquisition
Cash consideration					$ 19,900
Purchase price allocation
Intangible assets					7,390
Cash and cash equivalents					717
Other current assets					4,545
Goodwill					9,344
Other non-current assets					131
Current liabilities					(689)
Non-current deferred tax liabilities					(1,508)
Total purchase price					19,930
Acquisition-related costs recorded in selling, general and administrative expenses												500
Telegesis | Developed technology
Purchase price allocation
Intangible assets					$ 4,980
Weighted-Average Amortization Period					7 years
Telegesis | Customer relationships
Purchase price allocation
Intangible assets					$ 2,000
Weighted-Average Amortization Period					3 years
Telegesis | Trademarks
Purchase price allocation
Intangible assets					$ 400
Weighted-Average Amortization Period					3 years
Telegesis | In-process research and development
Purchase price allocation
Intangible assets					$ 10
Bluegiga
Acquisition
Cash consideration						$ 58,000
Purchase price allocation
Intangible assets						25,450
Cash and cash equivalents						1,132
Other current assets						6,156
Goodwill						34,597
Other non-current assets						208
Current liabilities						(3,289)
Non-current deferred tax liabilities						(3,780)
Long-term debt						(2,232)
Other non-current liabilities						(220)
Total purchase price						$ 58,022
Acquisition-related costs recorded in selling, general and administrative expenses												1,200
Discount rate applicable to the cash flows (as a percent)						16.10%
Bluegiga | Developed technology
Purchase price allocation
Intangible assets						$ 12,190
Weighted-Average Amortization Period						8 years
Bluegiga | Customer relationships
Purchase price allocation
Intangible assets						$ 6,670
Weighted-Average Amortization Period						4 years
Bluegiga | Trademarks
Purchase price allocation
Intangible assets						$ 880
Weighted-Average Amortization Period						3 years
Bluegiga | In-process research and development
Purchase price allocation
Intangible assets						$ 5,710
Energy Micro
Acquisition
Cash consideration								$ 20,000				20,000	$ 20,000
Earn-Out, fair value				$ 16,000
Potential maximum contingent consideration that could be paid				26,700
Payment of acquisition-related contingent consideration								6,300					6,300	$ 6,300
Earn-out payment representing the Departure Percentage portion and recorded as compensation expense														1,800
Remaining Earn-out payment representing additional consideration											4,500
Additional consideration				11,400
Compensation expense				4,600							2,700		$ 1,900
Gain from the adjustment to fair value due to settlement									$ 2,700		$ 2,700
Energy Micro | Mr. Bogen
Acquisition
Cash consideration							$ 900					$ 400
Potential maximum contingent consideration that could be paid				300
Payment of acquisition-related contingent consideration														$ 100
Energy Micro | Mr. Forre
Acquisition
Cash consideration							$ 35,000	6,100
Potential maximum contingent consideration that could be paid				$ 4,800
Payment of acquisition-related contingent consideration								$ 1,900