Signals + Aliasing Flashcards
What does the box kernel look like in the frequency domain
The sinc function
What is a gaussian kernel with S.D. s look like in the frequency domain
A gaussian kernel w/ S.D. 1/s
Convolution Theorem
Convolution in the spatial domain is equal to multiplication in the frequency domain
The Fourier transform of an impulse train with with w is
An impulse train with width 1/w
Aliasing
The overlapping of frequency components due to sampling rate being too slow
Anti-aliasing
Applying a low pass filter to the image to avoid overlapping high-frequency signals
Nyquist rate
The Nyquist rate is 2*(highest frequency allowed by LP filter). This is the highest frequency signal allowed before signals start overlapping