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Signals and Systems

This compendium was used in our pilot for the Signals and Systems course, which is part of the BSc Artificial Intelligence Program at the University of Groningen, the Netherlands.

Sine-Cosine equivalence
Cosine Periodicity
Cosine is an even function
Sine is an odd function
Full cycle cosine idenity
Cosine quarter cycle zeros identity
Pythagorean identity
Product to sum sine cosine
Product to sum sine sine
Product to sum cosine cosine
Imaginary Number Relation to Real Numbers
Complex Conjugate Definition
Eulers Formula
Euler Definition of Sine
Euler Definition of Cosine
Integral of exp(ax) wrt x
Definition of Product Symbol
Integral of (a exp(ax)) wrt x
Quadratic Formula
Definition of Sampling Frequency
Normalized Radian Frequency
Discrete signal
Definition of a Finite Impulse Response
General form of a Finite Impulse Response Filter
Convolution of a Signal and a Filter
Sinusoidal Response of Finite Impulse Response Filter
Fourier Series (Exponential Form)
Angle
Sine
Cosine
Imaginary Number
Pi
Eulers Constant
Frequency
Period
Fundamental Period
Real Part
Imaginary Part
Complex Conjugate
Signal Function
Impulse Response
Finite Impulse Response
Response of Filter
Radian Frequency
Sinusoidal Response of a Finite Impulse Response Filter
Convolution
Normalized Frequency
Normalized Radian Frequency
Sampling Period
Sampling Frequency
Order of a Difference Equation
Kronecker Delta Function
Radian Frequency
Normalized Frequency
Response of a Linear Time-Invariant Filter
Integral Fourier Coefficients(Exponential form)
Z-Transform
Z-Transform
Z-Domain Variable