DenoteY(ω) andX(ω) as the Fourier transforms ofy(t) andx(t) respectively.By taking Fourier transforms of the above equation, and giving working, show thatY(ω) is of the form:Y(ω) =ab+jcX(ω)Find a,b, and c.

EXTREMELY IMPORTANT: All working must be shown with clarity, and ideas should be presented ina logical ordered way. This can affect your scores. 1.Making cocktails with the Z-transform:The very famous Fibonacci sequence goes like this:0,1,1,2,3,5,8,13,21,34,55,89The magical and mystical ‘golden ratio’φ= 1.618033988749895 is the limiting value of the ratiobetween two terms in the sequence eg.,5534= 1.61765,8955= […]

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