DFT Flashcards
is a set of mathematical function that breaks the signal into sinusoids (sine and cosine functions) of varying frequency.
Fourier Transform
it is a technique that decomposes a waveform, which is a function of time, into the frequencies domain or vice-versa.
Fourier Transform
cornerstone of signal and system analysis. Any signal can be represent as a sum of sinusoids.
requency domain analysis and Fourier transforms area
four Fourier transforms
- Fourier Series
- Fourier Transform
- Discrete-Time Fourier Transform
- Discrete Fourier Transform
All of these transforms depends on the nature of signal whether it is finite or infinite-length or it is discrete or continuous-time, there is an appropriate transform to convert the signal into the frequency domain.
The version of Fourier Transform used for discrete signal is known as
Discrete Fourier Transform (DFT).
A signal can be either ———– and ———–, and it can be either periodic or aperiodic.
continues and discrete, periodic or aperiodic
four categories of signals
- Aperiodic-Continues
- Periodic-Continues
- Aperiodic-Discrete
- Periodic-Discrete
The Fourier series representation of a periodic discrete-time sequence is called
discrete Fourier series (DFS)
is defined as the process of finding the discrete-time sequence x(n) from its frequency response X(k).
inverse DFT (IDFT)