# Frequency Domain Analysis

## Specification from Bode Plot

Specification from Bode Plot: The important Specification from Bode Plot are, Gain cross-over frequency (ωgc) Phase cross-over frequency (ωpc) Gain margin (G.M.) Phase margin (P.M.) Gain Cross-over Frequency (ωgc): The frequency at which the magnitude of system function is unity i.e. 0 dB is called gain cross over frequency. So frequency at which the resultant …

## Logarithmic Scale or Semi Log Graph Sheet

Logarithmic Scale or Semi Log Graph Sheet: To sketch the magnitude in dB and phase angle in degrees against Log ω, the logarithmic scale is used. This is available on semilog graph paper. In such paper the X-axis is divided into a logarithmic scale which is nonlinear one. While Y-axis is divided into linear scale …

## Bode Plot in Network Analysis

Bode Plot in Network Analysis: The Bode Plot in Network Analysis is a popular method to obtain the frequency response of the networks. It basically sketches the variations in MR and ΦR against the frequency ω but uses a logarithmic scale for ω, to accommodate large range of frequency within a small distance. Similar to …

## Complex Locus of RLC Networks

Complex Locus of RLC Networks: Complex Locus of RLC Networks – The network function G(s) or H(s) can be impedance function or an admittance function hence referred as immitance function. In the frequency domain G(jω) or H(jω) can be represented in rectangular form or polar form. For each ω, there is separate point defined in …

## Magnitude Plot and Phase Angle Plot

Magnitude Plot and Phase Angle Plot: Magnitude Plot and Phase Angle Plot – As mentioned earlier, the polar coordinate system is very commonly used to obtain the frequency response. The frequency ω is always an independent variable while the magnitude part and phase angle part are the two dependent variables. The graph of magnitude of …

## Frequency Domain Network Function

Frequency Domain Network Function: As the frequency domain network function is a complex function, it can be expressed mathematically in two ways i.e. using rectangular coordinates or using polar coordinates. In rectangular coordinates it can be written as, R(ω) = Re[H(jω)] = Real part of network function X(ω) = Imj [H(jω)] = Imaginary part of …

## Frequency Domain Analysis

Frequency Domain Analysis: Frequency Domain Analysis – As we now already, the responses of the networks to the various time dependent inputs such as step, ramp, exponential etc. are studied. Let us now discuss the response by the network to a purely sinusoidal frequency dependent input. Consider a system with network function H(s). The input …

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