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|Discrete Fourier transform (DFT)
|Understanding DFT concepts and applications, implementing DFT algorithms, analyzing frequency domains.
|Fast Fourier transform (FFT)
|Explaining the principles of FFT, implementing FFT algorithms efficiently, interpreting frequency spectra.
|Understanding quantization techniques, applying quantization to signals, analyzing quantization errors.
|Explaining Huffman coding principles, constructing Huffman codes, performing compression and decompression using Huffman coding.
|Understanding run-length encoding techniques, applying run-length encoding to signal data, analyzing compression efficiency.
|Transform-based signal compression
|Exploring transform-based compression techniques (e.g., Discrete Cosine Transform), implementing compression algorithms, evaluating compression ratios and quality.
|Wavelet-based signal compression
|Understanding wavelet-based compression principles, implementing wavelet transforms, analyzing compression performance and artifacts.
|Lossless signal compression
|Exploring lossless compression algorithms (e.g., LZW, Arithmetic Coding), implementing compression and decompression, evaluating compression ratios.
|Understanding error-correcting codes (e.g., Reed-Solomon, Hamming codes), encoding and decoding signals, analyzing error correction capabilities.
|Lossy compression techniques
|Exploring lossy compression techniques (e.g., JPEG, MPEG), understanding trade-offs between compression ratio and signal quality, evaluating compression artifacts.