Digital Signal Processing

Largely based on Purdue University’s ECE538, Fall 2025, taught by Dr. Mike Zoltowski.

ECE538 Week 13:

The purpose of this week is to finish up orthogonal frequency division multiplexing (OFDM) and discuss the fast fourier transform (FFT) algorithm.

The purpose of this week is to analyze perfect reconstruction filter banks (PRFBs) of size $M=2^v$.

The purpose of this week is to understand digital subbanding and single-sideband modulation.

The purpose of this week is to finish up reconstruction and introduce upsampling.

The purpose of this week is to derive the relationship between the CTFT and DTFT, thus dipping our toes into sampling theory.

$$\boxed{X_s(\omega F_s) = X(\omega)}$$