Lectures related to Signal Representations

Wavelet Design: Fourier Transform

Covers the design of wavelets using Fourier transform and procedures for selecting wavelet functions.

Signal Representations

Explores wavelets as orthonormal bases for piecewise constant signals over unit intervals.

Signal Representations

Covers the concept of signal representations using wavelets and the Haar wavelet.

Image Processing II: Haar Filterbank and Wavelet Transforms

Explores Haar filterbank, wavelet transforms, and the Wiener filter in image processing.

Watermarking II

Covers advanced topics in watermarking, including resisting scaling and rotations, self-referenced watermarking, and types of attacks.

Image Processing II: Wavelet Transform and Multiresolution Analysis

Explores wavelet transforms, multiscale analysis, Haar expansion, and image pyramids in image processing.

Image Processing II: DFT, DCT, and Wavelet Transforms

Explores eigenfaces, DFT, DCT, and wavelet transforms in image processing.

Digital Filters: Structure and Implementation

Explores digital filters, their implementation, characteristics, and realizations, with examples for illustration.

Signal Processing and Embedded Systems

Covers signal processing with digital filters and embedded systems, focusing on practical applications.

Data Compression: Sparse Signals and Data Recording

Explores data compression through signal sparsity, questioning the need for recording vast amounts of data.

Image Processing II: Multiresolution Analysis and Wavelet Transform

Explores image pyramids, multiresolution analysis, wavelet transform, filterbanks, and orthogonal wavelet filters.

RIF Filters: Characteristics and Synthesis

Explores the characteristics and synthesis of RIF filters, including windowing operations and linear phase filters.

Fourier Transform: Concepts and Applications

Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.

Frequency Analysis: FFT Algorithm and Digital Filters

Explores the FFT algorithm, cost analysis, and digital filters in frequency analysis.

Optimal Least Square Adaptive Filter: FIR Filter

Explores the Optimal Least Square Adaptive Filter, focusing on the Finite Impulse Response (FIR) Filter and strategies to reduce computational burden.

Time-frequency tiling

Explores the challenges of analyzing speech signals and the concept of time-frequency tiling.

Signals, Instruments, and Systems: System Properties and Transforms

Introduces system properties, Laplace Transform, and analog filters for signal analysis.

Filter Structures: Part 2

Explores the geometric interpretation of filter responses and the challenges of achieving causal filters in real-time signal processing.

Probabilistic Models for Linear Regression

Covers the probabilistic model for linear regression and its applications in nuclear magnetic resonance and X-ray imaging.

Fractional delay and Hilbert filter

Explores fractional delay, Hilbert filter, impulse response, and demodulation in signal processing.