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Goodwill and Intangible Assets
 3 Months Ended
Apr. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill and Intangible Assets Goodwill and Intangible Assets
Goodwill
The carrying amounts of goodwill by applicable reporting unit were as follows:
(in thousands)Signal IntegrityAdvanced Protection and Sensing IoT System IoT Connected ServicesUnallocatedTotal
Balance at January 29, 2023$274,085 $14,639 $61,582 $— $931,397 $1,281,703 
Measurement period adjustment— — — — 7,125 $7,125 
Balance at April 30, 2023$274,085 $14,639 $61,582 $— $938,522 $1,288,828 
Goodwill is not amortized, but is tested for impairment at the reporting unit level using either a qualitative or quantitative assessment on an annual basis during the fourth quarter of each fiscal year, and whenever events or changes in circumstances indicate that the carrying value may not be recoverable. Impairment of goodwill is measured at the reporting unit level by comparing the reporting unit’s carrying amount, including goodwill, to the fair market value of the reporting unit (see Note 15 on segment information). As of April 30, 2023, there was no indication of impairment of the Company's goodwill balances.
On January 12, 2023, the Company acquired all of the outstanding equity interests in Sierra Wireless and a preliminary goodwill balance of $931.4 million was recognized for the excess of the consideration transferred over the net assets acquired and represented the expected revenue and cost synergies of the combined company and assembled workforce. In the first quarter of fiscal year 2024, the Company recorded measurement period adjustments that increased goodwill by $7.1 million. See Note 2, Acquisition, for further discussion of the Sierra Wireless Acquisition. Goodwill resulting from this transaction has not yet been allocated at the reporting unit level, but will be allocated to the IoT System and IoT Connected Services reporting units when the purchase price allocation is finalized during the measurement period and an analysis has been completed to determine an appropriate allocation based on the relative fair value of each of these reporting units.
Purchased Intangibles
The following table sets forth the Company’s finite-lived intangible assets resulting from business acquisitions, which are amortized over their estimated useful lives:
 April 30, 2023January 29, 2023
(in thousands, except estimated useful life)Estimated
Useful Life		Gross
Carrying
Amount		Accumulated
Amortization		Net Carrying
Amount		Gross
Carrying
Amount		Accumulated
Amortization		Net Carrying
Amount
Core technologies
1-8 years
$175,114 $(32,011)$143,103 $175,080 $(21,156)$153,924 
Customer relationships
1-10 years
52,381 (4,776)47,605 53,000 (690)52,310 
Trade name
2-10 years
9,000 (924)8,076 9,000 (132)8,868 
Total finite-lived intangible assets$236,495 $(37,711)$198,784 $237,080 $(21,978)$215,102 
Amortization expense of finite-lived intangible assets was as follows:
Three Months Ended
(in thousands)April 30, 2023May 1, 2022
Core technologies$10,855 $1,048 
Customer relationships4,090 — 
Trade name792 — 
Total amortization expense$15,737 $1,048 
Amortization expense of finite-lived intangible assets related to core technologies was recorded in "Amortization of acquired technology" within "Total cost of sales" in the Statements of Operations and amortization expense of finite-lived intangible assets related to customer relationships and trade name was recorded in "Intangible amortization" within "Total operating costs and expenses, net" in the Statements of Operations. As of the Acquisition Date, the weighted-average amortization period for the finite-lived intangible assets acquired in the Sierra Wireless Acquisition was 5.3 years, which reflects weighted-average amortization periods of 4.4 years, 7.9 years and 6.2 years for core technologies, customer relationships and trade name, respectively.
Future amortization expense of finite-lived intangible assets is expected as follows:
(in thousands)Core TechnologiesCustomer RelationshipsTrade nameTotal
2024 (remaining nine months)$30,620 $11,762 $2,375 $44,757 
202539,542 4,003 1,722 45,267 
202632,434 4,003 500 36,937 
202717,573 4,003 500 22,076 
202813,562 4,003 500 18,065 
Thereafter9,372 19,831 2,479 31,682 
Total expected amortization expense$143,103 $47,605 $8,076 $198,784