Lecture 2 Flashcards
sampling
the measurement of a signal intensity or signal’s amplitude at discrete time intervals
what affects the rate of sampling
how much information is preserved from the original continuous signal
adequate sampling
the highest frequency components of the continuous signal are preserved in the discrete signal
aliases
samples (the intensity of a signal) with lower frequencies
when does aliasing occur
undersampling a signal
nyquist-shannon sampling theorem
dictates how to prevent aliasing
how to prevent aliasing
make sure that at least 2 samples are taken from each sine wave and the sampling frequency is two times larger than the maximum frequency
fs > 2f max
Nyquist rate
given the max frequency, the sampling frequency should be two times larger
fs > 2fmax
oscillator
something that generates a tone
what is a phasor
a way of representing a sinusoidal signal in time by a vector
sinusoidal signal is defined by
magnitude (A)
phase (θ )
frequency (ω)
Changing “A” in the phasor demo reflects in?
changing the magnitude (applitude) of a sine wave
Changing the phase (θ theta) in the phasor demo reflects in?
changing the shift of the sine wave
Changing ω in the phasor
changing the frequency
the sampling rate is dependent on
how fast the signal fluctuates
True or False
Humans are sensitive to spatial frequency
True
space varying sampling
(think about the resolution of the retina)
captures the high model
Sunflower-distribution
represents how the human visual system perceive the world
high frequencies in the center, low in the periphery
Schwartz model
- Captures the variations between the sunflower distribution and the Stack model
- Log polar map of what is received on the retina to the cortex
- Reference point: fovea
What is represented by the Stack model
(the pyramid of hectagones)
how we sample the world in different levels, how extensive the scope is depending on the resolution
lowest level: large extend
with lower resolution
(see the entire room)
highest level on the top: small in high resolution, examine something in detail
(reading a book)
log-polar mapping
- Approximates how brain perceives images in a non-uniform way
- it’s a coordinate system in two dimensions
What is aliasing
When does happen
How to prevent aliasing?
- Aliasing are samples with lower frequencies
- Occurs when we undersample a signal
- Make sure that at least 2 samples are taken from each sine wave and the sampling frequency is two times larger than the maximum frequency
fs > 2f max