Please answer fully with justification - thanks!
Posted: Thu May 05, 2022 2:42 pm
Please answer fully with justification - thanks!
Your goal is to generate a signal that has the Fourier transform Y(jw) shown below: Y(jw) A -11m-10m 0 10T 11T A is an arbitrary constant. To generate y(t), you may use any of the signals s₁ (t) through s4 (t) con- nected using any of the operations shown below. Operations Ideal delay Ideal delay T sec. x(t-T) Signals $1(t) = 8(t-To) Adder s2(t) = cos(wot) sin (W₁t) 83 (t) = πt Subtractor S₁(t) Multiplier -T₁0 T₁ Ideal LPF -00c 0 0c Show how you would connect these signals/operations to gene the signal y(t). Note that you should specify numerical values for the parameters associated with the signals, i.e., if you use signal s2(t), you must specify what value of wo to use. If you use the lowpass filter, you must specify the cutoff frequency We. Your solution should include a diagram and any supporting sketches verifying that the output of the system has the frequency response Y (jw). Important: Note that you may not need all of the signals or all of the operations to generate y(t). 1
Your goal is to generate a signal that has the Fourier transform Y(jw) shown below: Y(jw) A -11m-10m 0 10T 11T A is an arbitrary constant. To generate y(t), you may use any of the signals s₁ (t) through s4 (t) con- nected using any of the operations shown below. Operations Ideal delay Ideal delay T sec. x(t-T) Signals $1(t) = 8(t-To) Adder s2(t) = cos(wot) sin (W₁t) 83 (t) = πt Subtractor S₁(t) Multiplier -T₁0 T₁ Ideal LPF -00c 0 0c Show how you would connect these signals/operations to gene the signal y(t). Note that you should specify numerical values for the parameters associated with the signals, i.e., if you use signal s2(t), you must specify what value of wo to use. If you use the lowpass filter, you must specify the cutoff frequency We. Your solution should include a diagram and any supporting sketches verifying that the output of the system has the frequency response Y (jw). Important: Note that you may not need all of the signals or all of the operations to generate y(t). 1