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48 Threads found on Complex Magnitude
A pure delay (e.g. an ideal delay line) shows as frequency dependent phase shift in the frequency domain but doesn't affect the magnitude. In complex signal math, the delay is represented by a rotation operation: H(jw) = exp(-jωT)
Consider original point of this thread. Decibel definition should be db20() not db10() for this thread point. For example, consider S-parameter of Touchstone format There are following three styles for complex value. (1) dB/Angle (2) Mag/Angle (3) Real/Imag Here Mag=10^(dB/20)
when analyzing the vector of a power source into an AC grid with other power sources, the inverse impedance or Admittance matrix is used to,analyze the power transferred. When a single source is compared with the complex impedance load, the real and imaginary (or reactive power) can be expected, calculated and measured, the latter which is rated i
Your expression for Vout/Vin is NOT correct. At first, R2 (not R) appears in the numerator. But more important: The transfer function is complex - thus, you must apply complex calculations for finding the magnitude and phase.
"replacing s by jw provides the transfer function for physical frequency w, that is, the transmission magnitude and phase for a sinusoidal input signal of freqency w" i could some how understand it ambiguously, but cannot prove it by myself. The complex frequency variable s=sigma+jw is used primarily to compute an
I have two situations: 1) I am trying to calculate the "Total SAR" inside a solid sphere with known mass. I am first integrating Local SAR over the sphere: Scl : Integrate(Volume(Sphere_1), LocalSAR) 2) I am trying to calculate the average value of the complex magnitude of the E-Field along: a) a 2D line b) a 3D volume
there may be systems with good PM as 60degress, and bad GM as 3dB(because of RHZ after UGB. The well-known design rules like 60 degree phase margin for no overshoot in transient response are valid for low-pass loop gain characteristic with a dominant pole. For more complex transfer functions with arbitrary magnitude and phase respo
If you measure loop gain in small signal analysis, you'll see that the barkausen criterion (complex loop gain = unitity) is met for C = about 2.01 pF. For larger C, loop gain magnitude is > 1 at zero phase. The unusual point is that the loop gain is rising versus frequency (at least in the applied measurement configuration). In Nyquist diagram,
The second magnitude/phase diagram is apparently showing a closed loop transfer characteristic. Although the closed loop can be derived from the open loop frequency characteristic, the phase hasn't the meaning of a phase margin. What do you exactly want to compare? The general expression of the (complex) closed loop transfer characterictic Acl o
You can excite with an AC voltage source and measure the current or use a current source and measure the voltage. then you know that: V/I = Z = R/ (1+ jwRC) that is the impedance of the RC circuit. w = 2* pi * frequency Take into account that V, I and Z are complex numbers. So you have to measure magnitude and phase. Calculate V/I from your measur
Impedance is for AC what resistance is for DC circuits. It relates I versus V. That is I=V/R. The difference is that in AC circuits you have to take in account magnitude and phase so the impedance is now represented by a a complex number instead of a real number for resistance.
Yes, they are basically the same idea but there are huge differences also. In a phasor representation we try to represent a wave by its magnitude and phase, which essentially translates into a complex number in an Argand plane. So 100 Exp would be a vector having magnitude 100 and phase (- w t). This is particularly helpful in linear system
To measure a resistance respecticely a complex impedance in a simulator, I'll inject a current into the node and measure the voltage. But all other methods would work in AC analysis as well. The only important point is to achieve correct DC bias without introducing AC feedback or circuit loading.
The |Z| plot mainly suggests an unsuitable measurement setup or broken impedance meter. To determine L and reasonable frequency range for the measurement, you should rather a show complex impedance or magnitude/phase plot. Before impedance and LCR meters have been become popular, people used to determine complex impedances with a (...)
Hello, I have the following Fourier complex signal: v(t) = 2/πsin(500πt)+1/2sin(1000πt)+1/3sin(1500πt) I need to find the minimum sampling rate for this signal. So, according to the Nyquist Theorem, the sampling rate must be twice the highest frequency component contained in the original signal. So I assume my sampling r
In the ADS envelope simulation, assuming the complex signal is VCO I use the following: mag(VCO) mag(VCO) the output are not the same so anyone can tell me what is the difference between VCO, VCO, real(VCO)
The most logical way is to inject a current into the device and to simulate the voltage across it (ac simulation). If you choose 1 Ampere then the complex voltage is identical to the complex impedance (X=V/I). Now you have the choice to display magnitude and/or phase as function of the frequency or the locus curve in the (...)
What's your particular problem? No arithmetic needed, just connect an AC current source, measure voltage. Different representations (magnitude/phase, complex impedance) can be selected in the plot window.
A Chebyshev type I filter has only poles, one real and a complex pair in case of 3rd order. Your simplified assumption about relation of poles/zeros and magnitude characteristic doesn't aplly to complex pole pairs, I think.
you know something about complex gaussian distributed frequency response? If I have 9 subcarrier,'n', and 3 users,'k', how can I obtain the magnitude |Hk,n|? means, the channel response of user k on subcarrier n.. I hope someone can help me.