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a. Find the Fourier Transform for this signal: Cari jelmaan Fourier bagi isyarat berikut: 10 sin (2) 1+cos (6rt +3) i. ii. (15 marks/ markah) b. Using the time-shifting property, show that if f(t) + F(w), then Dengan menggunakan sifat anjakan masa, tunjukkan jika f(t) + F(w), maka f(t+T) + f(t-1) +- F(w) cost Find the Fourier Transform of the signal in Figure 3.1. Cari Jelmaan Fourier bagi isyarat dalam Rajah 3.1 1 -4 -3 -2 0 2 3 4 t Figure 3.1 Rajah 3.1 (15 marks/markah)
C. Consider the analog signal: Pertimbangkan isyarat analog berikut: X(t) = 5 cos(50nt) + 2 sin(200nt) - 2cos (100nt) 1. Determine the sampling rate of the above signal Tentukan kadar persampelan isyarat di atas ii. Sketch and show the sampling points of each waveform analog components Lakarkan dan tunjukkan titik persampelan bagi setiap komponen isyarat analog. (35 marks/markah) d. Given that y[n]={1, 4, 8, 8, 8, 3, -2, 1} and impulse response, h[n]= {1, 2, 1, -1}. Determine the input signal, x[n]. Diberi bahawa y[n]={1, 4, 8, 8, 8, 3, -2, 1} dan fungsi pindah, h[n= {1, 2, 1, -1). Tentukan isyarat masukan, x[n). (35 marks/markah)