
Details


Hits: 4034
General difference equations
 How to compute the impulse response of a difference equation
Down sampling / Up sampling
 Their expression as a function of the sample index n.
 Their schematic expression.
Solutions to HW1
 Review of even / odd functions and the real exponential input.
Continuous Fourier Transform
 Definition of the Continous Fourier Transform and it's inverse.
 Definition of the magnitude spectrum & the phase spectrum.
 Definition of the sufficient conditions for the continuous Fourier Transform to exist.
Energy Density Spectrum
 Definition of the energy density spectrum
 Know Parseval's relation and that it prooves the Fourier Transform is a lossless transform.
 Definition of Lowpass / Highpass / Bandpass signals.
Discrete Time Fourier Transform
 Definition of the Discrete Time Fourier Transform (DTFT) and it's inverse. Note that the frequency domain is still continous in this analysis.
 Know that the DTFT is discrete time, continuous frequency.
 Know that the InverseDTFT is indeed exactly the originally transformed discrete signal.
 Definition of the DTFT, i.e., the analysis equation, and the InverseDTFT , i.e., the synthesis equation.