"Note: There are many websites that provide good explanations and visual examples of the Fourier transform that are worth exploring 3,4."
"The Fourier transform is a mathematical formula that converts a signal in time (or spatial) domain t to one in the frequency domain ω."
"A frequency domain signal F(ω) is obtained by modulating the time domain signal f(t) to a special sinusoidal wave e-jωt across all time (from negative infinity to positive infinity)."
"F(ω) = ∫ f(t) · e-jωt dt"
"j represents a square root of -1(an imaginary number); e-jωt is a sinusoidal wave with an imaginary component as per Euler's formula:"
"e-jωt = cos(ωt) - j · sin(ωt)"
"F(ω) = ∫ f(t) · e-jωt dt"
"Note: There are many websites that provide good explanations and visual examples of the Fourier transform that are worth exploring 3,4."
"j represents a square root of -1(an imaginary number); e-jωt is a sinusoidal wave with an imaginary component as per Euler's formula:"