Howtosignalprocessing
- What is the Fourier transform of complex exponential function?
- What do you mean by complex exponential function?
- How do you find the period of a complex exponential function?
What is the Fourier transform of complex exponential function?
Hence, the Fourier transform of the complex exponential function is given by, [ejω0t]=2πδ(ω−ω0) Or, it can also be represented as, ejω0tFT↔2πδ(ω−ω0)
What do you mean by complex exponential function?
The complex exponential. The exponential function is a basic building block for solutions of ODEs. Complex numbers expand the scope of the exponential function, and bring trigonometric functions under its sway.
How do you find the period of a complex exponential function?
II. Periodicity of complex the exponential. Recall the definition: if z = x + iy where x, y ∈ R, then ez def = exeiy = ex(cosy + i siny). It's clear from this definition and the periodicity of the imaginary exponential (§I) that ez+2πi = ez, i.e.: “The complex exponential function is periodic with period 2πi.”
