Radiopaedia Helpers

Emphasis

warning

"The inverse Fourier transform is a mathematical formula that converts a signal in the frequency domain ω to one in the time (or spatial) domain t."

Line 1:124 · Italics should be used only in exceptional circumstances: 'ω to one in the time (or spatial) domain t'

"A time domain signal f(t) is obtained by demodulating a frequency domain signal F(ω) using a special sinusoidal wave e^jωt across all time (from negative infinity to positive infinity) via:"

Line 2:25 · Italics should be used only in exceptional circumstances: 'f(t) is obtained by demodulating a frequency domain signal F(ω) using a special sinusoidal wave ejωt'

"f(t) = [1/(2 π)] · ∫ F(ω) · e^jωt dω"

Line 4:1 · Italics should be used only in exceptional circumstances: 'f(t) = [1/(2 π)] · ∫ F(ω) · ejωt dω'

"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:"

Line 6:4 · Italics should be used only in exceptional circumstances: 'j represents a square root of -1(an imaginary number); ejωt is a sinusoidal wave with an imaginary component as per Euler's formula'

"e^jωt = cos(ωt) + j · sin(ωt)"

Line 8:1 · Italics should be used only in exceptional circumstances: 'ejωt = cos(ωt) + j · sin(ωt)'

Semicolons

suggestion

"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:"

Line 6:66 · Use semicolons judiciously.

Links

fourier-transformation

Lint: inverse-fourier-transformation-1