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Engineering Hub/Signal Processing & Communication/Continuous & Discrete Fourier Analysis & Frequency Response Lab
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Signal Processing & CommunicationDiscipline: Signals and Systems (EEE2006)

Continuous & Discrete Fourier Analysis & Frequency Response Lab

Interactive laboratory exploring Continuous-Time Fourier Series (CTFS) harmonic synthesis with Gibbs phenomenon analysis, Continuous-Time Fourier Transform (CTFT) time-frequency duality, Discrete-Time Fourier Transform (DTFT) 2π-periodicity, and LTI frequency response H(jω) active filtering.

Instrument State:Live Analytical DSP Engine
Calibrating DSP Instrument Pipeline...

Technical Instrument Specifications

CTFS SynthesizerHarmonic summation up to N=25 with exact 8.95% Gibbs overshoot tracking
CTFT DualityReal-time uncertainty law: time compression induces frequency expansion
DTFT SpectrumNormalized digital frequency Ω illustrating mandatory 2π-periodicity
LTI FilteringButterworth lowpass/highpass/bandpass filters attenuating spectral noise

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