What is the DFT of a pure cosine wave cos(θ)

1. What is DFT of cosine?
2. What is the Fourier transform of cos?
3. What is the formula for DFT in DSP?

What is DFT of cosine?

The Discrete Fourier Transforms (DFTs) of cosine and sine waves have particularly simple analytical expressions. The transform. Properties of trigonometric functions and complex exponentials. DFT of a cosine wave with integer frequency.

What is the Fourier transform of cos?

Therefore, the Fourier transform of cosine wave function is, F[cosω0t]=π[δ(ω−ω0)+δ(ω+ω0)]

What is the formula for DFT in DSP?

xn=N1k=0∑N−1Xke2πikn/N. The DFT is useful in many applications, including the simple signal spectral analysis outlined above.