Problem 3.7|Fourier Series Representation of Periodic Signals |Oppenheim |2nd ed.

Problem 3.7 𝑆𝑢𝑝𝑝𝑜𝑠𝑒 𝑡ℎ𝑒 𝑝𝑒𝑟𝑖𝑜𝑑𝑖𝑐 𝑠𝑖𝑔𝑛𝑎𝑙 𝑥(𝑡) ℎ𝑎𝑠 𝑓𝑢𝑛𝑑𝑎𝑚𝑒𝑛𝑡𝑎𝑙 𝑝𝑒𝑟𝑖𝑜𝑑 𝑇 𝑎𝑛𝑑 𝑓𝑜𝑟𝑖𝑒𝑟 𝑐𝑜𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑡𝑠 𝑎_𝑘. 𝐼𝑛 𝑎 𝑣𝑎𝑟𝑖𝑒𝑡𝑦 𝑜𝑓 𝑠𝑖𝑡𝑢𝑎𝑡𝑖𝑜𝑛𝑠, 𝑖𝑡 𝑖𝑠 𝑒𝑎𝑠𝑖𝑒𝑟 𝑡𝑜 𝑐𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑒 𝑡ℎ𝑒 𝑓𝑜𝑟𝑖𝑒𝑟 𝑠𝑒𝑟𝑖𝑒𝑠 𝑐𝑜𝑓𝑓𝑖𝑐𝑖𝑒𝑛𝑡𝑠 𝑏_𝑘 𝑓𝑜𝑟 𝑔(𝑡)=𝑑𝑥(𝑡)/𝑑𝑡, 𝑎𝑠 𝑜𝑝𝑝𝑜𝑠𝑒𝑑 𝑡𝑜 𝑐𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑖𝑛𝑔 𝑎_𝑘 𝑑𝑖𝑟𝑒𝑐𝑡𝑙𝑦. 𝐺𝑖𝑣𝑒𝑛 𝑡ℎ𝑎𝑡 ∫24_𝑇^2𝑇▒〖𝑥(𝑡)=2〗, 𝑓𝑖𝑛𝑑 𝑎𝑛 𝑒𝑥𝑝𝑟𝑒𝑠𝑠𝑖𝑜𝑛 𝑜𝑓 𝑎_𝑘 𝑖𝑛 𝑡𝑒𝑟𝑚𝑠 𝑜𝑓 𝑏_𝑘 𝑎𝑛𝑑 𝑇. 𝑌𝑜𝑢 𝑚𝑎𝑦 𝑢𝑠𝑒 𝑎𝑛𝑦 𝑜𝑓 𝑡ℎ𝑒 𝑝𝑟𝑜𝑝𝑒𝑟𝑡𝑖𝑒𝑠 𝑙𝑖𝑠𝑡𝑒𝑑 𝑖𝑛 𝑡𝑎𝑏𝑙𝑒 3.1 𝑡𝑜 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑒𝑥𝑝𝑟𝑒𝑠𝑠𝑖𝑜𝑛.

𝑺𝒐𝒍𝒖𝒕𝒊𝒐𝒏 :−

                                                                                            by…

R.K. MTech (IIT Delhi)

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by… R.K. MTech (IIT Delhi) ... https://www.youtube.com/watch?v=D0pCs_6XN_o