5.4) sürekli zamanl? bir x(t) sinyalinin zamanla de?i?im grafi?i a?a??daki ?ekilde verilmi?tir. Buna göre x(t) sinyalinin Fourier dönü?ümünü hesaplay?n?z.
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Table 6.4 More Fourier transform pairs δ(t) ↔ 1 sgn(t) ↔ 1/jπf rect(t) ↔ sinc(f) tri(t) ↔ sinc²(f) δₜ₀(t) ↔ f₀δ_f₀(f), f₀ = 1/T₀ cos(2πf₀t) ↔ (1/2)[δ(f - f₀) + δ(f + f₀)] 1 ↔ δ(f) u(t) ↔ (1/2)δ(f) + 1/j2πf sinc(t) ↔ rect(f) sinc²(t) ↔ tri(f) T₀δₜ₀(t) ↔ δ_f₀(f), T₀ = 1/f₀ sin(2πf₀t) ↔ (j/2)[δ(f + f₀) - δ(f - f₀)]
Sri K.
Problem 3 Find the Fourier transform of the following signals. (Don't use the Table 5.2 entries for sinc and for e^ait. You need to derive them yourself:) a) x(t) = 2(Ju(t-3) e^(jωt-1) b) x(t) = sinc(ωt) c) x(t) = sin(ωt) d) x(t) = sinc(2ω)
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