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Problem results
ProblemCourse & topicStatus
Signal spaces and LTI systemsSignals and Systems · Mixed review
—Signal spaces and LTI systemsSignals and Systems · Mixed review
—View access optionsSas Discrete Linear Convolution SumSas Fir Generating Function Deconvolution
Continuous and discrete convolutionSignals and Systems · Mixed review
—Continuous and discrete convolutionSignals and Systems · Mixed review
—Continuous and discrete convolutionSignals and Systems · Mixed review
—Fourier series and transformsSignals and Systems · Mixed review
—Fourier series and transformsSignals and Systems · Mixed review
—Laplace and z transformsSignals and Systems · Mixed review
—Laplace and z transformsSignals and Systems · Mixed review
—Sampling, aliasing, and reconstructionSignals and Systems · Mixed review
—Sampling, aliasing, and reconstructionSignals and Systems · Mixed review
—State-space systems, causality, and stabilitySignals and Systems · Mixed review
—State-space systems, causality, and stabilitySignals and Systems · Mixed review
—State-space systems, causality, and stabilitySignals and Systems · Mixed review
—State-space systems, causality, and stabilitySignals and Systems · Mixed review
—SIG:9926001Mathematical problem title
Signals LtiSignals And Systems Problem Solving
Signal spaces and LTI systemsSignals and Systems · Calculation
—Signal spaces and LTI systemsSignals and Systems · Calculation
—Signal spaces and LTI systemsSignals and Systems · Calculation
—Signal spaces and LTI systemsSignals and Systems · Calculation
—Signal spaces and LTI systemsSignals and Systems · Calculation
—Signal spaces and LTI systemsSignals and Systems · Calculation
—Signal spaces and LTI systemsSignals and Systems · Calculation
—Signal spaces and LTI systemsSignals and Systems · Calculation
—Signal spaces and LTI systemsSignals and Systems · Calculation
—Showing 24 of 315 matching problems.
The scaled reversed triangle x(2-3t) lives on [1/3,1], has energy 2/9, and is not an LTI test
The everlasting 3 cos(2 pi t) has power 9/2; its [-1,1] window has energy 9; the two-tone sequence has period 12 and power 1
Linear convolution of [1,-2,1] with [1,1,1] is [1,-1,0,-1,1] and deconvolution recovers the input
The causal convolution e^{-2t}u * e^{-5t}u peaks at ln(5/2)/3; the equal-pole limit is t e^{-2t}u
Sifting h=delta(t)+2 delta(t-1)-delta(t+2) against e^{-t}u produces breakpoints -2,0,1 and integral 2
Time weighting differentiates the spectrum and changes its energy.
Modulation shifts two spectra, but overlapping lobes keep a cross term.
The unilateral z-transform must carry the sample before zero.
A repeated pole creates the polynomial factor, not a second exponential.
Sampling can be alias-free while the hold still droops and delays the waveform.
Alternating clock jitter creates a deterministic image spur, not random noise
Stable eigenvalues can amplify the state before every mode decays
Observability is quantitative: the Gramian prices every initial direction
One input-output energy ratio is not the induced L2 gain
The finite-horizon Gramian finds the least-energy input pair exactly
A continuous-time voltage signal x(t), with t in seconds, is defined for every real t by Evaluate x(-2), x(-1.5), x…
A discrete-time sequence x[n] is defined for every integer n by List every pair (n,x[n]) for which x[n]\ne 0.
A continuous-time signal w(t), with t in seconds, is given by Define the delayed signal w_d(t)=w(t-2) and the advan…
A continuous-time signal w(t), with t in seconds, is given by Define the time-reversed signal v(t)=w(-t) for every…
A continuous-time rectangular pulse g(t), with t in seconds, is defined by Define g_c(t)=g(2t), g_e(t)=g(t/3), and…
A continuous-time signal p(t), with t in seconds, is defined by Define q(t)=p(6-2t) for every real t.
A discrete-time sequence x[n] is zero except at the following samples: (the listed value x[-2]=0 is included only f…
Throughout this problem, t\in\mathbb{R} is measured in seconds.
Throughout this problem, n\in\mathbb{Z}.