Implementation of Goertzel Algorithm in MATLAB for DTMF Signal Generation and Detection
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This MATLAB program implements DTMF signal generation and detection using the Goertzel algorithm, incorporating an initial FFT-based approach before applying the Goertzel method. The implementation involves generating dual-tone frequencies by combining two sine waves according to DTMF standards, followed by detection using Goertzel's algorithm which efficiently computes specific frequency components without processing the entire spectrum. Key functions include frequency bin selection based on target DTMF frequencies, optimized filter coefficient calculation, and magnitude computation for tone detection. The program allows parameter adjustment for detailed waveform analysis and signal processing refinement, including sampling rate customization, frequency tolerance settings, and detection threshold configuration for robust performance in various noise conditions.
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