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Diff — Signal processing

Revision #1564 → #2457 · back to history

addedSignal processing6dca88a96db4
modifiedSignal as a function of time08f89e63667b
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteA signal as a real-valued function of time is not a distinguished Mathlib concept (it is just a function).
statusnot_formalized
modifiedDeterministic signal52e557e986f0
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteMathlib has no notion labeling a function as a deterministic signal.
statusnot_formalized
modifiedStochastic signal as path of a stochastic processc49eeeedcfda
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.moduleMathlib.Probability.Process
noteMathlib has stochastic process infrastructure (filtrations, stopping, Kolmogorov) but no explicit `stochasticProcess`/signal-realization definition.
statuspartial
modifiedAnalog signal processing997cf6a546e7
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteAnalog signal processing is an engineering technology outside Mathlib's scope.
statusnot_formalized
modifiedContinuous-time signal processingfb78160236a7
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteContinuous-time signal processing is an engineering discipline, not a Mathlib definition.
statusnot_formalized
modifiedLTI filter output via convolution8ee7b7d9d048
FieldFrom #1564To #2457
mathlib.declconvolution
mathlib.match_kindinvocation
mathlib.moduleMathlib.Analysis.Convolution
noteMathlib defines `convolution` and many properties, but does not package the LTI-system/impulse-response equation as a distinguished result.
statuspartial
modifiedImpulse response of the systemf07182a955d2
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteMathlib has no notion of an impulse response for an LTI system.
statusnot_formalized
addedConvolution of input and system163406505b3e
modifiedDiscrete-time signal processing269a3bfd5ab7
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteDiscrete-time signal processing is an engineering discipline, not a Mathlib definition.
statusnot_formalized
modifiedAnalog discrete-time signal processing0fb42d540c17
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteThis describes analog hardware technology, outside Mathlib's scope.
statusnot_formalized
modifiedDiscrete-time signal processing as theoretical discipline0f8cc67e7364
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteNo Mathlib definition captures this meta-level discipline.
statusnot_formalized
modifiedDigital signal processingc9391828a310
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteDigital signal processing is an engineering discipline, not a Mathlib concept.
statusnot_formalized
modifiedNonlinear signal processingdf65022ad7a3
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteMathlib does not define nonlinear signal processing as such.
statusnot_formalized
modifiedPolynomial signal processing335c149433f3
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteMathlib has no notion of polynomial signal processing.
statusnot_formalized
modifiedStatistical signal processinge9d45827c74b
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteMathlib has probability infrastructure but no notion labeled statistical signal processing.
statusnot_formalized
modifiedNoise model for image denoisinge708e1c27073
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteImage noise modeling is not a Mathlib formalizable statement.
statusnot_formalized
modifiedGraph signal processing340b4369f5a6
FieldFrom #1564To #2457
mathlib.decl
mathlib.match_kind
mathlib.module
noteMathlib has graph theory but no graph signal processing definition.
statusnot_formalized