Fourier Transform of Sampled Signal vs. Discrete Fourier Transform

Relation Between Fourier Series and Fourier Transform

To see the relation between them, use dimensional analysis. Suppose the signal is dimensionless, then the dimension of its Fourier transform is [TIME], but the coefficient of Fourier series is by definition dimensionless, so it has to be multiplied by a quantity with dimension of [TIME] to get involved with Fourier Transform.

To match dimension,

where,

Network Function Gain (magnitude) in pz analysis of Spectre

After pz analysis, use pzSummary function will generate the so called "Network function gain"

This Network function gain is actually the NFG shown in the formula below,

To get the DC gain from this network function gain, you should:

where the DC gain is defined as

Dirichlet-Jordan Theorem

Inverse Fourier Transform

Dimension of Fourier Transform of a unitless signal

[ T ]