Frequency-and-time equation formulation is intended for linear and linear parameter-varying (LPV) systems. It speeds up the simulation using a variable-step solver because the solver step size is no longer limited by the period of the nominal frequency. The frequency-and-time simulation mode is ...
Yule-Walker equationThis paper presents a new time–frequency distribution which uses a time-dependent two-sided linear predictor model. The current sample is estimated as a weighted sum of the past and future values. The two-sided linear prediction approach yields a smaller prediction error than ...
Equation (4) has the same basic form as a spatially twisted GSM beam9,10,12,14,37; however, here, space and frequency are statistically twisted. It is well known that the spectral density of a spatially twisted stochastic source rotates as the beam propagates. This rotation is in the pla...
3.1. Matrix equation solvers for large-scale systems A substantial part of the numerical effort in the computations of the second-order frequency- and time-limited balanced truncations goes into the solution of the arising matrix equations (9) and (12). In general it has been shown for the ...
I am using 'amor' for the cwt, and it seems like 'amor' and 'cmor' operate with essentially the same equation (please correct me if I am wrong). Complex Morlet Wavelet: Analytic Morlet (Gabor) Wavelet: where I am not sure if the equation for the analytic Morlet wavelet is correct ...
Figure 7: H represents the FRF between input X and output Y The FRF is the crosspower (Sxy) of the input (x) and output (y) divided by the autopower (Sxx) of input as shown in Equation 2 below. Equation 2: The FRF (H) is a crosspower divided by an autopower. The autopower...
We can have all of them in one equation:y = A sin(B(x + C)) + Damplitude is A period is 2π/B phase shift is C (positive is to the left) vertical shift is DAnd here is how it looks on a graph:Note that we are using radians here, not degrees, and there are 2π ...
during the negotiation of the transmission medium reservation, the exchanged frames not only help the receiver to predict the SIGNAL field but also to obtain information about the channel state. (ii) Based on this property, we propose a joint MAP time and frequency synchronization algorithm using ...
Equation (16) can be derived by noting that the trapezoidal waveform in Figure 7 can be obtained by convolving the pulse train in Figure 9 with another pulse train whose pulses have a width, tr, and an amplitude A/tr. Convolution in the time domain is equivalent to multiplication in the...
16.3). As in Equation (15.22), the wavelet scale σ is often expressed as 2k, and the frequency associated with a particular wavelet scale is proportional to the inverse of the scale. For every subsequent integer value of k, there is a factor 2 difference in the frequency (i.e., in ...