DFT Flashcards

1
Q

is a set of mathematical function that breaks the signal into sinusoids (sine and cosine functions) of varying frequency.

A

Fourier Transform

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2
Q

it is a technique that decomposes a waveform, which is a function of time, into the frequencies domain or vice-versa.

A

Fourier Transform

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3
Q

cornerstone of signal and system analysis. Any signal can be represent as a sum of sinusoids.

A

requency domain analysis and Fourier transforms area

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4
Q

four Fourier transforms

A
  1. Fourier Series
  2. Fourier Transform
  3. Discrete-Time Fourier Transform
  4. 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.

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5
Q

The version of Fourier Transform used for discrete signal is known as

A

Discrete Fourier Transform (DFT).

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6
Q

A signal can be either ———– and ———–, and it can be either periodic or aperiodic.

A

continues and discrete, periodic or aperiodic

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7
Q

four categories of signals

A
  1. Aperiodic-Continues
  2. Periodic-Continues
  3. Aperiodic-Discrete
  4. Periodic-Discrete
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8
Q

The Fourier series representation of a periodic discrete-time sequence is called

A

discrete Fourier series (DFS)

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9
Q

is defined as the process of finding the discrete-time sequence x(n) from its frequency response X(k).

A

inverse DFT (IDFT)

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