Howtosignalprocessing
- What is sampled Fourier transform?
- What is the Fourier transform of sampling function?
- Why is FFT needed in DSP?
- How is Fourier transform used in signal processing?
What is sampled Fourier transform?
The above equation relates the Fourier Transform of the sampled signal to that of the original signal. As seen clearly, Xs(ω) is obtained by replicating X(ω) infinite number of times in frequency domain. This is often quoted as Sampling in time domain replicates the spectrum in frequency domain.
What is the Fourier transform of sampling function?
The Fourier transform of the sampled signal fs=f(t)∞∑−∞δ(t−kT)
Why is FFT needed in DSP?
The FFT algorithm is heavily used in many DSP applications. It is used whenever the signal needs to be processed in the spectral or frequency domain. Because it is so efficient to implement, sometimes even FIR filtering functions are performed using an FFT.
How is Fourier transform used in signal processing?
The Fourier transform is a mathematical formula that transforms a signal sampled in time or space to the same signal sampled in temporal or spatial frequency. In signal processing, the Fourier transform can reveal important characteristics of a signal, namely, its frequency components.
