Engineering
Signals and Systems
Train on Signals and Systems with 315 published problems. Preview a problem, explore the course outline, and work through one problem at a time.
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Course topics
Course topics
Signal spaces and LTI systems
Continuous and discrete convolution
Fourier series and transforms
Laplace and z transforms
Sampling, aliasing, and reconstruction
State-space systems, causality, and stability
Practice problems
Try a few Signals and Systems problems, each with a hint.
- Throughout this problem, t ∈ ℝ is measured in seconds Free with an accountSignal spaces and LTI systems
- Continuous-time time scaling x(t/2) is defined for every real t whenever x is defined on ℝ Free with an accountSignal spaces and LTI systems
- Let u[n]=1 for n ≥ 0 and u[n]=0 for n<0 Free with an accountSignal spaces and LTI systems
- Continuous-time signals are real functions of t ∈ ℝ with t in seconds, and… Continuous and discrete convolution
- Continuous-time systems act on real functions of t ∈ ℝ with t in seconds, and… Continuous and discrete convolution
- A rectangular voltage pulse of height 9.00 V and width τ=0.200 ms, centered at the… Fourier series and transforms
- Sampling is x[n]=x_c(nT_s) with f_s=1/T_s=8000 Hz and t in seconds Laplace and z transforms
- Use the bilateral Laplace transform with absolute-convergence ROC Laplace and z transforms
- Time t is in seconds and s is in s⁻¹ Sampling, aliasing, and reconstruction
- Stable eigenvalues can amplify the state before every mode decays State-space systems, causality, and stability