دانلود کتاب پردازش سیگنال چند نرخی با مثال‌هایی در پایتون

This book developed as the class text for our lecture “Multirate Signal Processing” at Ilmenau University of Technology (Technische Universität Ilmenau), Germany, in the master’s program Media Engineering. It grew out of many years of teaching, research, and practical projects where we found that a hands-on, code-_irst approach helps students internalize the core ideas: only what one can build, one truly understands. A Short History of the Field Multirate signal processing emerged from the need to process signals efficiently across multiple time and frequency resolutions. Early milestones include polyphase decompositions and the “noble identities” for moving sampling-rate changes across filters, enabling implementations with far fewer operations than straightforward convolution would require. Quadrature Mirror Filters (QMF) and their successors, Perfect- Reconstruction (PR) filter banks, provided the first systematic routes to subband analyses where analysis/synthesis exactly reconstitute the original signal. From there, cosine-modulated banks and the Modified Discrete Cosine Transform (MDCT) established an elegant bridge between block transforms and filter banks, bringing the Time-Domain Aliasing Cancellation (TDAC) principle to large-scale applications in audio coding. In parallel, wavelet theory unified multiresolution analysis for audio, image, and video, and polyphase matrix methods became the lingua franca for design, proof of PR, and complexity analysis. With growing demands for interactivity, low-latency communications led to low-delay filter banks and designs that decouple filter length from system delay. Today, optimization-based approaches and data-driven refinements, informed by machine learning, complement the classic toolset.