Problem 2.10|Linear Time-Invariant Systems |Oppenheim |2nd ed.

Problem 2.10 𝑆𝑢𝑝𝑝𝑜𝑠𝑒 𝑡ℎ𝑎𝑡

                                                                        𝑥(𝑡)={█(1       0≤𝑡≤1@0     𝑒𝑙𝑠𝑒𝑤ℎ𝑒𝑟𝑒)┤

𝑎𝑛𝑑 ℎ(𝑡)=𝑥(𝑡/𝛼),𝑤ℎ𝑒𝑟𝑒 𝛼 is greater than 0 and less than equal to 1.

𝑎) 𝐷𝑒𝑡𝑒𝑟𝑚𝑖𝑛𝑒 𝑎𝑛𝑑 𝑠𝑘𝑒𝑡𝑐ℎ 𝑦(𝑡)=𝑥(𝑡)∗ℎ(𝑡). 𝑏) 𝑖𝑓 𝑑𝑦(𝑡)/𝑑𝑡 𝑐𝑜𝑛𝑡𝑎𝑖𝑛𝑠 𝑜𝑛𝑙𝑦 𝑡ℎ𝑟𝑒𝑒 𝑑𝑖𝑠𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑖𝑡𝑖𝑒𝑠 , 𝑤ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝛼?

𝑺𝒐𝒍𝒖𝒕𝒊𝒐𝒏 :−

                                                                                            by…

R.K. MTech (IIT Delhi)

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by… R.K. MTech (IIT Delhi) ... https://www.youtube.com/watch?v=-ibnno3S7GU