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Consider a message signal 𝑚(𝑡)=cos(4𝜋𝑡)volts(1𝛺), and carrier 𝑐(𝑡)=cos(20𝜋𝑡) 𝑉(1Ω). Assuming 𝑥(𝑡)=[3𝑚(𝑡)+5]𝑐(𝑡), (DSB-LC). a. What is the modulation index? b. Find the closed form of 𝑋(𝑓), c. Sketch 𝑋(𝑓) d. Find the power developed across a load of 75 ohm due to this AM wave. e. ...
Problem 2 Find the energy spectral density (ESD), 𝑆𝑋(𝑓), of 𝑠(𝑡)=e^5𝑡𝑢(−𝑡).