P1. Using Fourier transform tables or otherwise, write down the Fourier transform of the sinusoidal signal, x(t) = 1+ A sin @ot, allt, where (o = 2n fo is the angular frequency and A is a constant. a) Sketch x(f) and the magnitude and phase of its frequency spectrum. P2. Using simple trigonometry (or otherwise) write down the Fourier series expansion/representation of the periodic signal, y(t) = x2(t), where x(t) is defined in question P1. a) Sketch y(t) and the magnitude and phase of its frequency spectrum. b) Explain the spectrum symmetry of signals: x(t) and y(t). P3. A nonideal lowpass filter has a frequency response specified by, 1 H(f)= (1+ f.) where fc is the filter cutoff frequency. a) Sketch H(f)| as a function of frequency. b) Using Fourier transform tables write down and sketch the filter impulse response, h(t)=F-1(H(f)}

Fig: 1