Calculate the discrete time Fourier transform for the following signal, f[k]. Show your calculations in detail. f k] = 0.4 sin Hint: E* = H<1 k=0

Q3. Define the function shown in figure as f(t) and then take Laplace transform. 1

Find the Fourier Transform of the following functions: (a) f(t) = sin(t²) %3D (b) f(t) ==

Sketch the following waveform f(t)= Vo = 0 -t/2≤t≤t/2 otherwise and show that its Fourier transform is F (1) 2sin Varsine ( Votsinc (0) 2 ωτ Use this result to sketch a fully labelled graph of the amplitude spectrum of a single square voltage pulse, of amplitude 24V and pulse width 1.4μs, using units of Hz for the frequency axis. (Note: graph paper is not required - a clear, fully-labelled sketch is adequate).