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# FL10quiz22 - f t and g t are F ω and G ω then what is the...

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ESE 351 Quiz 22 Name: 11/23/10 Section 12.9–12.12 a. If the Fourier transform of a continuous-time function f ( t ) is F ( ω ), what is the Fourier transform G ( ω ) of g ( t ) = f ( t ) cos( ω 0 t ), where ω 0 > 0 is the frequency of the perpetual sinusoidal wave cos( ω 0 t )? b. What is the Fourier transform F ( ω ) of the continuous-time unit con- stant f ( t ) = 1? Note this means f ( t ) = 1 for -∞ < t < and not 1( t ), which is zero for t < 0. c. If the respective Fourier transforms of continuous-time functions,
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Unformatted text preview: f ( t ) and g ( t ), are F ( ω ) and G ( ω ), then what is the Fourier transform H ( ω ) of the convolution h ( t ) = [ f * g ]( t )? d. What is the Fourier transform ∆( θ ) of the discrete-time unit impulse δ ( k )? e. What is the Fourier transform ∆( ω ) of the continuous-time unit im-pulse δ ( t )?...
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