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  2. Folding (DSP implementation) - Wikipedia

    en.wikipedia.org/wiki/Folding_(DSP_implementation)

    The DSP implementation in the folding algorithm is a Data flow graph(DFG), which is a graph composed of functional nodes and delay edges.. Another input for folding algorithm is folding set which is the function maps an operation unit of original DFG to an operation of transformed DFG with the number n <= N indicated the order of reused operation.

  3. Fold (higher-order function) - Wikipedia

    en.wikipedia.org/wiki/Fold_(higher-order_function)

    Folds can be regarded as consistently replacing the structural components of a data structure with functions and values. Lists, for example, are built up in many functional languages from two primitives: any list is either an empty list, commonly called nil ([]), or is constructed by prefixing an element in front of another list, creating what is called a cons node ( Cons(X1,Cons(X2,Cons ...

  4. Smith predictor - Wikipedia

    en.wikipedia.org/wiki/Smith_predictor

    The Smith predictor (invented by O. J. M. Smith in 1957) is a type of predictive controller designed to control systems with a significant feedback time delay. The idea can be illustrated as follows. Suppose the plant consists of () followed by a pure time delay .

  5. Control-Lyapunov function - Wikipedia

    en.wikipedia.org/wiki/Control-Lyapunov_function

    where is the state vector and is the control vector. Suppose our goal is to drive the system to an equilibrium from every initial state in some domain .Without loss of generality, suppose the equilibrium is at = (for an equilibrium , it can be translated to the origin by a change of variables).

  6. Input-to-state stability - Wikipedia

    en.wikipedia.org/wiki/Input-to-state_stability

    The function in the above inequality is called the gain.. Clearly, an ISS system is 0-GAS as well as BIBO stable (if we put the output equal to the state of the system). The converse implication is in general not true.

  7. Phase-locked loop - Wikipedia

    en.wikipedia.org/wiki/Phase-locked_loop

    A phase-locked loop or phase lock loop (PLL) is a control system that generates an output signal whose phase is fixed relative to the phase of an input signal. Keeping the input and output phase in lockstep also implies keeping the input and output frequencies the same, thus a phase-locked loop can also track an input frequency.

  8. Step response - Wikipedia

    en.wikipedia.org/wiki/Step_response

    Figure 3 shows the time response to a unit step input for three values of the parameter μ. It can be seen that the frequency of oscillation increases with μ, but the oscillations are contained between the two asymptotes set by the exponentials [ 1 − exp(−ρt) ] and [ 1 + exp(−ρt) ]. These asymptotes are determined by ρ and therefore ...

  9. Group delay and phase delay - Wikipedia

    en.wikipedia.org/wiki/Group_delay_and_phase_delay

    The group delay and phase delay properties of a linear time-invariant (LTI) system are functions of frequency, giving the time from when a frequency component of a time varying physical quantity—for example a voltage signal—appears at the LTI system input, to the time when a copy of that same frequency component—perhaps of a different physical phenomenon—appears at the LTI system output.