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ECSE 4530 - Digital Signal Processing

ECSE 4530: Digital Signal Processing (Fall 2014, Rensselaer Polytechnic Institute). Instructor: Professor Richard Radke. This course provides a comprehensive treatment of the theory, design, and implementation of digital signal processing algorithms. In the first half of the course, we emphasize frequency-domain and Z-transform analysis. In the second half of the course, we investigate advanced topics in signal processing, including multirate signal processing, filter design, adaptive filtering, quantizer design, and power spectrum estimation. The course is fairly application-independent, to provide a strong theoretical foundation for future study in communications, control, or image processing.

Lecture 25 - Perfect Reconstruction Filter Banks and Introduction to Wavelets


Go to the Course Home or watch other lectures:

Lecture 01 - Signals
Lecture 02 - Linear, Time-invariant Systems
Lecture 03 - Convolution and its Properties
Lecture 04 - The Fourier Series
Lecture 05 - The Fourier Transform
Lecture 06 - Frequency Response
Lecture 07 - The Discrete-time Fourier Transform
Lecture 08 - Introduction to the z-Transform
Lecture 09 - Inverse z-Transform; Poles and Zeros
Lecture 10 - The Discrete Fourier Transform
Lecture 10a - Exam 1 Review
Lecture 11 - Radix-2 Fast Fourier Transforms
Lecture 12 - The Cooley-Tukey and Good-Thomas FFTs
Lecture 13 - The Sampling Theorem
Lecture 14 - Continuous-time Filtering with Digital Systems; Upsampling and Downsampling
Lecture 15 - Multirate Signal Processing and Polyphase Representations
Lecture 16 - FIR Filter Design using Least-Squares
Lecture 17 - FIR Filter Design (Chebyshev)
Lecture 18 - IIR Filter Design
Lecture 19 - Introduction to Adaptive Filtering: ARMA Processes
Lecture 20 - The Wiener Filter
Lecture 21 - Gradient Descent and LMS
Lecture 22 - Least Squares and Recursive Least Squares
Lecture 22a - Exam 2 Format/ Review
Lecture 23 - Introduction to Quantization
Lecture 24 - Differential Quantization and Vocoding
Lecture 25 - Perfect Reconstruction Filter Banks and Introduction to Wavelets