Engineering Hub/Signal Processing & Communication/LTI Systems, Continuous & Discrete Convolution Workbench

Signal Processing & CommunicationDiscipline: Signals and Systems (EEE2006)

LTI Systems, Continuous & Discrete Convolution Workbench

Interactive laboratory exploring continuous-time convolution integral y(t) = ∫x(τ)h(t-τ)dτ via the graphical flip-and-shift method with dynamic overlap area shading, discrete-time convolution sum y[n] = ∑x[k]h[n-k] with sliding stem plots, step response derivation s(t) = ∫h(τ)dτ, and LTI causality and BIBO stability criteria.

Instrument State:Live Analytical DSP Engine

Calibrating DSP Instrument Pipeline...

Technical Instrument Specifications

CT ConvolutionReal-time flip-and-shift y(t) = ∫x(τ)h(t-τ)dτ with overlap area integration

DT ConvolutionSliding sequence stem plots verifying discrete convolution and Ly = Lx + Lh - 1 length rule

Step Response & InterconnectionsCalculates step response s(t) = ∫h(τ)dτ and cascade h1*h2 vs parallel h1+h2 topologies

Stability & CausalityEvaluates causality h(t<0)=0 and BIBO absolute integrability ∫|h(t)|dt < ∞

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