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Goodwill and Intangible Assets (Tables)
 12 Months Ended
Jan. 29, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill balances
The carrying amounts of goodwill by applicable reporting unit were as follows:
(in thousands)Signal IntegrityAdvanced Protection and Sensing
(f.k.a. Protection)		IoT System (f.k.a. Wireless and Sensing)IoT Connected ServicesUnallocatedTotal
Balance at January 30, 2022$274,085 $4,928 $72,128 $— $— $351,141 
Reallocation— 10,546 (10,546)— — — 
Addition for acquisition— — — — 931,397 931,397 
Reduction for disposal— (835)— — — (835)
Balance at January 29, 2023$274,085 $14,639 $61,582 $— $931,397 $1,281,703 
Schedule of finite-lived intangible assets which continue to be amortized
The following table sets forth the Company’s finite-lived intangible assets resulting from business acquisitions, which are amortized over their estimated useful lives:
 January 29, 2023January 30, 2022
(in thousands)Estimated
Useful Life		Gross
Carrying
Amount		Accumulated
Amortization		Net Carrying
Amount		Gross
Carrying
Amount		Accumulated
Amortization		Net Carrying
Amount
Core technologies
1-8 years
$175,080 $(21,156)$153,924 $26,300 $(19,496)$6,804 
Customer relationships
1-10 years
53,000 (690)52,310 — — — 
Trade name
2-10 years
9,000 (132)8,868 — — — 
Total finite-lived intangible assets$237,080 $(21,978)$215,102 $26,300 $(19,496)$6,804 
Schedule of amortization expenses recorded in the Statements of Income
Amortization expense of finite-lived intangible assets was as follows:
(in thousands)January 29, 2023January 30, 2022January 31, 2021
Core technologies$5,660 $4,942 $7,676 
Customer relationships690 — 589 
Trade name132 — — 
Total amortization expense$6,482 $4,942 $8,265 
Schedule of future amortization expense Future amortization expense of finite-lived intangible assets is expected as follows:
(in thousands)Core TechnologiesCustomer relationshipsTrade nameTotal
Fiscal year 2024$41,474 $16,029 $3,167 $60,670 
Fiscal year 202539,535 4,050 1,722 45,307 
Fiscal year 202632,427 4,050 500 36,977 
Fiscal year 202717,566 4,050 500 22,116 
Fiscal year 202813,555 4,050 500 18,105 
Thereafter9,367 20,081 2,479 31,927 
Total expected amortization expense$153,924 $52,310 $8,868 $215,102 
Schedule of indefinite-lived intangible assets