ECE 280/Fall 2026/Test 2

This page lists the topics covered on the second test for ECE 280 Fall 2026. There are sample tests for Dr. G at Test Bank.

Test II Coverage

1. Everything on Test 1 (especially applying convolution, manipulating singularity functions, and evaluating system causality and stability)
2. Systems
   • Derive linear constant-coefficient difference and differential equations from block diagrams containing integral or delay blocks
   • For linear constant-coefficient discrete difference equations and continuous differential equations:
     • Calculate or derive impulse, step, and general forced responses
     • Evaluate system causality from the impulse or step response
     • Assess BIBO stability from the roots of the characteristic equation
3. Fourier Series
   • State and recall the synthesis and analysis equations
   • Formulate summations to synthesize $ x(t) $ and integrals to analyze $ X[k] $ for periodic signals (including piecewise singularity functions)
   • Determine Fourier Series coefficients for periodic signals composed of sines and cosines
   • Calculate total average power in both the time and frequency domains using Parseval's relation
   • Apply Fourier Series pairs and operational property tables to transform signals
4. Fourier Transform (Continuous Time only)
   • State and recall the synthesis and analysis equations
   • Formulate integrals to determine $ x(t) $ or $ X(j\omega) $ for aperiodic signals and periodic signals
   • Calculate total energy in both the time and frequency domains using Parseval's relation
   • Apply Fourier Transform pairs and operational property tables, incorporating necessary algebraic manipulations (e.g., completing the square, shifting time windows on composite functions, and polynomial reduction of improper rational expressions)
   • Compute inverse Fourier Transforms using partial fraction expansion
   • Solve for zero-state responses of stable differential equations using Fourier Transform techniques
   • Derive the transfer function, step response, and impulse response from a differential equation representing a stable system
   • Reconstruct the differential equation for a system from a transfer function, step response, or impulse response

Equation Sheet

See Canvas

Specifically Not On The Test

1. Maple
2. MATLAB
3. Python
4. Sampling and reconstruction
5. Communication systems
6. Laplace Transforms