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Unformatted text preview: rect ( t τ ) using the Fourier transform of u ( t ) and time-shifting property. (c) Using the time-diﬀerentiation property ﬁnd the Fourier transform of Δ( t 2 τ ). 7+8+9=24 Some Properties of Fourier Transformation F ( k 1 f 1 ( t ) + k 2 f 2 ( t )) = k 1 F 1 ( ω ) + k 2 F 2 ( ω ) , F ( F ( t )) = 2 πf (-ω ) , F [ df ( t ) dt ] = jωF ( ω ) F ( f ( t-t )) = F ( ω ) e-jωt , F ( e jta f ( t )) = F ( ω-a ) F ( f 1 ( t ) * f 2 ( t )) = F 1 ( ω ) F 2 ( ω ) , Some Very Basic Fourier Transformation F ( e-at u ( t )) = 1 a + jω , F ( δ ( t )) = 1 F ( u ( t )) = πδ ( ω ) + 1 jω...
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This note was uploaded on 06/08/2010 for the course ETE ETE 221 taught by Professor Adm during the Spring '10 term at North South University.
- Spring '10