Signal Processing & DSP

Total Path Completion

From discrete-time theory through FFT, filtering, and real-time DSP implementation on embedded hardware and FPGAs.

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Phase 1: Mathematical Foundations

Build the theoretical foundation covering continuous and discrete signal classification and system properties.

Master the mathematical transforms that convert signals between time and frequency domains.

Phase 2: FFT & Spectral Analysis

Understand the Fast Fourier Transform algorithm and apply it for real-world spectral analysis.

Understand the bridge between continuous and discrete worlds through sampling and reconstruction.

Phase 3: Digital Filter Design

Design and implement Finite Impulse Response filters with linear phase and guaranteed stability.

Design recursive IIR filters that achieve sharp roll-off with far fewer coefficients than FIR.

Design filters that automatically adapt to unknown or changing signal characteristics.

Phase 4: Real-Time DSP Implementation

Run optimised DSP algorithms on ARM Cortex-M processors using the CMSIS-DSP library.

Implement high-throughput signal processing pipelines in FPGA hardware for radar, SDR, and video.